MEASURING DISRUPTION INDICATORS IN FOODSERVICE SUPPLY CHAIN

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MEASURING DISRUPTION INDICATORS IN FOODSERVICE SUPPLY CHAIN
MEASURING DISRUPTION INDICATORS IN FOODSERVICE SUPPLY
 CHAIN
 by
 Teng Yi Li, BCom, University of British Columbia 2013
 and
 Amy Schwendenman
 BSc. in Supply Chain and Operations Management, Miami University (OH) 2015

 SUBMITTED TO THE PROGRAM IN SUPPLY CHAIN MANAGEMENT
 IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF
 MASTER OF APPLIED SCIENCE IN SUPPLY CHAIN MANAGEMENT
 AT THE
 MASSACHUSETTS INSTITUTE OF TECHNOLOGY

 June 2021
 © 2021 Li and Schwendenman. All rights reserved.
The authors hereby grant to MIT permission to reproduce and to distribute publicly paper and
electronic copies of this capstone document in whole or in part in any medium now known or
 hereafter created.

Signature of Author: _____________________________________________________________________________
 Department of Supply Chain Management
 May 14, 2021

Signature of Author: _____________________________________________________________________________
 Department of Supply Chain Management
 May 14, 2021

Certified by: _____________________________________________________________________________
 Dr. Christopher Mejía Argueta
 Research Scientist, Center for Transportation and Logistics
 Director, Food and Retail Operations Lab
 Capstone Advisor

Accepted by: _____________________________________________________________________________
 Prof. Yossi Sheffi
 Director, Center for Transportation and Logistics
 Elisha Gray II Professor of Engineering Systems
 Professor, Civil and Environmental Engineering

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MEASURING DISRUPTION INDICATORS IN FOODSERVICE SUPPLY CHAIN
Measuring Disruption Indicators in Foodservice Supply Chain
 Teng Yi Li

 and

 Amy Schwendenman

 Submitted to the Program in Supply Chain Management

 on May 14, 2021 in Partial Fulfillment of the

 Requirements for the Degree of Master of Applied Science in Supply Chain Management

ABSTRACT

The food-service industry in the United States is worth approximately $300 Billion annually and
supports 1 million jobs across the country. The sponsoring company is a major distributor in the
United States for different categories of restaurant chains, ranging from counter-only-service to
full-service. The key products in their supply chain include meat such as poultry and beef, which
are vulnerable to both supply and demand shocks, and could have significant impact to their
operations. While they have some visibility downstream to understand causes of demand shocks,
there exists an information gap upstream to understand supply shocks. This project aims to connect
various external data sources to internal data to 1. identify what supply shocks looks like; 2. find
lead indicators of supply shocks in the external data; and 3. quantify their impact on the sponsoring
company in order to improve operations planning and contingency planning. The models we built
predict instances of expedited shipments and delayed shipments as they relate to macro factors,
such as severe weather, wholesale prices, and national slaughter rates.

Capstone Advisor: Dr. Christopher Mejía Argueta

Title: Research Scientist, Center for Transportation and Logistics.

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MEASURING DISRUPTION INDICATORS IN FOODSERVICE SUPPLY CHAIN
TABLE OF CONTENT

1. INTRODUCTION ...................................................................................................................... 6

 1.1 Motivation ............................................................................................................................. 6

 1.2 Problem Statement ................................................................................................................ 8

2. LITERATURE REVIEW ......................................................................................................... 12

 2.1 Overview ............................................................................................................................. 12

 2.2 Length and Depth of Meat Supply Chains .......................................................................... 12

 2.3 Demand Factors................................................................................................................... 14

 2.3.1 Promotions .................................................................................................................... 14

 2.3.2 Shift from Foodservice to Retail Consumption ............................................................ 15

 2.4 Supply Factors ..................................................................................................................... 15

 2.4.1 Location and Its Effects ................................................................................................ 16

 2.4.2 Food Recalls ................................................................................................................. 17

 2.4.3 Pricing ........................................................................................................................... 18

 2.5 Defining Supply Chain Disruption...................................................................................... 19

 2.5.1 Quantifying risk in food Supply Chains ....................................................................... 20

 2.6 Quantifying impact of supply chain risk and disruption ..................................................... 21

 2.7 Conclusion........................................................................................................................... 22

3. METHODOLOGY ................................................................................................................... 23

 3.1 Internal Data ........................................................................................................................ 24

 3.2 External Data ....................................................................................................................... 24

 3.2.1 United States Department of Agriculture (USDA) Data .............................................. 24

 3.2.2 National Oceanic and Atmospheric Administration (NOAA) Data ............................. 25

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MEASURING DISRUPTION INDICATORS IN FOODSERVICE SUPPLY CHAIN
3.2.3 COVID-19 crisis ........................................................................................................... 25

 3.2.4 Other External Data Considerations ............................................................................. 26

 3.3 Data Cleaning ...................................................................................................................... 26

 3.3.1 Internal Data Cleaning .................................................................................................. 27

 3.3.2 External Data Cleaning ................................................................................................. 27

 3.3.3 Internal/External Alignment ......................................................................................... 27

 3.4 Analysis Framework ........................................................................................................... 31

 3.4.1 Exploratory Analysis .................................................................................................... 31

 3.4.2 Scenario Analysis ......................................................................................................... 33

4. RESULTS ................................................................................................................................. 35

 4.1 Correlation Analysis ............................................................................................................ 35

 4.2 Poultry ................................................................................................................................. 36

 4.2.1 Regression Analysis ..................................................................................................... 37

 4.2.2 Scenario Analysis ......................................................................................................... 40

 4.3 Beef ..................................................................................................................................... 42

 4.3.1 Regression Analysis ..................................................................................................... 43

 4.3.2 Scenario analysis .......................................................................................................... 46

 4.4 Discussion of results............................................................................................................ 48

5. CONCLUSION ......................................................................................................................... 49

 5.1 Limitations .......................................................................................................................... 50

 5.2 Further Research ................................................................................................................. 51

References ..................................................................................................................................... 53

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LIST OF FIGURES

Figure 1 Meat Industry Process Flow ............................................................................................. 9

Figure 2 Tyson Foods: Cattle Production Timing, Growth Rates ................................................ 13

Figure 3 Tyson Foods: Poultry Production Timing, Growth Rates .............................................. 14

Figure 4 USDA: Market Beef Prices for Boneless Chuck in 2020, 2019, and 3-Year Average .. 18

Figure 5 Framework for the Methodology.................................................................................... 23

Figure 6 Variable Correlation Heat Map ...................................................................................... 36

LIST OF TABLES

Table 1 External Data Dictionary ................................................................................................. 31

Table 2 Regression Model Outputs for Poultry ............................................................................ 37

Table 3 Regression Model 1 ......................................................................................................... 37

Table 4 Regression Model 2 ......................................................................................................... 39

Table 5 Analysis of the number of freight spend disruptions for Model 1 ................................... 40

Table 6 Cost Impact of freight spend disruptions for Model 1 ..................................................... 41

Table 7 Analysis of the volume (receipt weight) impacts for Model 2 ........................................ 41

Table 8 Impact of changes in Shipments based on Avg Receipt Weight per order for Model 2 . 42

Table 9 Regression Model Outputs for Beef ................................................................................ 43

Table 10 Regression Model 3 ....................................................................................................... 44

Table 11 Regression Model 4 ....................................................................................................... 45

Table 12 Analysis of the estimated number of freight spend disruptions for Model 3 ................ 46

Table 13 Cost Impact of freight spend disruptions for Model 3 ................................................... 47

Table 14 Analysis of the number of delayed shipments for Model 4 ........................................... 47

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1. INTRODUCTION

 1.1 Motivation

 In 2019, it was estimated that the size of the food-service industry in the United States

was worth $293 Billion and supported 1 million jobs across the country (Refrigerated Frozen

Food, 2018). Within the food-service industry, food distributors help coordinate, transport, and

consolidate shipments for their customers. Our project company is a nationwide distributor for

several major restaurant chains throughout the United States. The service offering at these

restaurant chains ranges from counter service only, to full table service. Due to the nature of our

project company clientele, a large component of our project company’s revenue comes from

distributing different cuts of meat. Meat, or “center-of-the-plate” offerings, are critical for our

company’s operations.

 Within the meat category, beef and poultry are two types of meat that are important for

our project company due to their prevalence in the foodservice space. In the U.S., consumption

of poultry has steadily increased since the 1940s, overtaking beef in supplied pounds per capita

around 2010. In 2017, approximately 64 pounds of boneless chicken were available per person,

whereas approximately 54 pounds of beef were supplied per person (Kantor and Blazejczyk,

2020) – for a combined total of over a hundred pounds of available meat per person (for a

population of 325 million inhabitants). While meat consumption in the United States continues to

grow as consumers are looking to add more protein to their diets, consumer preferences are

changing the way meat is offered (Euromonitor, 2020).

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Pushed by the emergence of casual restaurants, one of the recent trends in the food

industry is the pivot towards more sustainable menus (Mitroff, 2019). One impact of this trend is

that restaurants are increasingly demanding fresh over frozen meat, which significantly increases

the complexity of the supply chain. Changes in consumer preferences have not only created

demand for more sustainable food chains, but have also led to a rise in non-meat protein

alternatives in both retail and foodservice sectors. Several restaurant chains that now have

product offerings sourced from either Impossible Burger or Beyond Meat (Mitroff, 2019). These

shifts in consumer preferences change distribution requirements and are important for our project

company to consider for their operations now and for the future.

 On the supply side, one major trend within the meat industry has been the rapid

consolidation of companies operating in the United States within the past few decades. Today,

the meat industry is extremely centralized: four firms process 80% of the beef in America, while

five firms control 60% of processed poultry. Also, 85% of the supply of beef is processed in just

30 facilities across the U.S., which could indicate more severe impact to supply during times of

disruption (NCBA, 2020). In the poultry industry, 25,000 family farms feed into only 180

slaughtering and processing plants, producing 42.5 billion pounds of poultry products each year

(The National Chicken Council, 2020).

 In 2020, the COVID-19 pandemic highlighted this fragility as cramped working

conditions in meat packing plants allowed the coronavirus to easily spread amongst workers,

leading to major outbreaks. Many plants slowed or shut down their operations due to these

concerns; however, an executive order was issued by President Donald Trump to open the meat

packing plants back up to ensure meat supply continuity. This supply shock coincided with

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nationwide restaurant closures and mandated lockdowns at different levels, rapidly shifting

consumer demand from foodservice consumption to retail outlets.

 The severity of the COVID-19 disruption has prompted an industry-wide evaluation of

business practice and risk mitigation strategies. While our project company was invested in

better understanding their upstream supply chain, the pandemic highlighted this importance.

Because the disruptions to the industry from COVID-19 are unprecedented, our research

attempts to review this and other major disruptions across the meat supply chain for the food

service industry. Part of our project company’s value proposition is being highly attuned to

demand changes, with a desire to add this value on the supply side. Our project company is

looking to increase their knowledge about supply constraints by supplementing internal

knowledge with outside data sources.

 1.2 Problem Statement

 Our primary research goal is to understand the significant factors that indicate the early

stages of a large supply disruption for a nationwide distributor of perishable products to the

foodservice industry. Currently for the company, there exists a lack of upstream visibility and

information from their suppliers, opening the company up to additional risk and higher costs

when a supply chain disruption occurs.

 Figure 1 shows the supply chain flow for our project company. As a distributor, our

project company is in the middle of the supply chain and is impacted by both supply and demand

changes. The businesses that use our project company to facilitate the movement of product to

their restaurants are downstream from our company. The customers that purchase food from

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these restaurants are further downstream, but they will not be considered as part of the scope of

this study. Demand fluctuations at the customer level can lead to larger variations in the

upstream supply chain, known as the bullwhip effect (Supply Chain Academy, 2018). Demand

signal processing (i.e., the speed at which changes in demand are communicated up and down

the supply chain), non-zero lead times, and price fluctuations are three factors relevant in the

food distribution model that cause the bullwhip effect in a demand-driven supply chain (Cao et

al., 2017). The company we are working with is confident with the information they have from

their downstream operations, but is looking to increase information about their upstream supply

chain.

Figure 1
Meat Industry Process Flow

 The suppliers that our company or our company’s partners place orders with are Tier 1

upstream suppliers. Within the meat industry, these suppliers are primarily meat packers and

processors. Further upstream are the Tier 2 suppliers, and beyond that are those in Tier 3. Within

the meat industry, these upstream suppliers are cattle or poultry farmers. Because our project

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company lacks upstream information, they are more likely to face the negative effects of the

bullwhip effect, a gap our research attempts to fill. Additionally, the drastic and rapid changes

brought on by the pandemic magnified the importance of understanding how upstream supply

chain disruptions impact operations for our project company.

 The project scope has been limited to the beef and poultry supply chains and broken out

into two separate demand categories: the poultry products, which are mostly served at restaurant

category 1; and beef products, which are served at both restaurant category 1 and 2. This is

primarily due to availability of internal data from the sponsoring company. Other protein groups,

such as pork and fish, are considerably smaller in volume and therefore, they do not have the

same richness of data. The scope limitation allows our research to focus on large-scale supply

chain disruptions that impact supply in these restaurant categories. Through literature review and

other research, the goal is to find external data sources relevant to our project scope. The external

data will act to supplement company’s information to build our exploratory approach.

 Our statistical analysis will use the data found externally and provided internally from

our project company to identify leading indicators of supply chain disruption. Our work will tie

this to a set of scenarios which will help our project company understand the impact that relevant

disruptions carry for the different products and channels. The scenarios help understand how

transportation costs and times change due to the relative disruption impacts, helping to elevate

our project company’s value proposition for their clients because their competitive advantage is

the ability to provide clients with real-time transparency into supply chain operations.

 Our research provides the sponsor company with more insights about how external data

from the upstream supply chain may help detecting outliers and potential disruptions in the
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operations of the project company. Furthermore, we hope our project illustrates how a first-order

methodology based on exploratory analysis can help companies building knowledge about

relevant factors that cause disruptions in their supply chains. Ultimately, this will allow the

sponsor company and similar distributors to find strategies to prevent undesired effects and

compute their effects in the financial and level of service.

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2. LITERATURE REVIEW

 2.1 Overview

 To better understand leading indicators of supply risk within the meat and foodservice

industry, we reviewed the relevant literature that exists about factors on both demand and supply

sides. While our project focuses on the leading indicators of supply shocks, it is relevant to

understand the demand variations as demonstrated in the bullwhip effect. Additionally, we

review literature on supply chain disruptions and their effects for the supply chain. We also

reviewed how to properly quantify impacts of disruptions using scenarios in our context,

understanding how disruptions are translated into quantifiable impacts to businesses

downstream.

 2.2 Length and Depth of Meat Supply Chains

 The length of a supply chain is important in evaluating supply chain disruption. In this

respect, length refers to the amount of time between the highest tier supplier and the lowest tier

consumer; depth refers to the number of upstream and downstream tiers (DeAngelis, 2021). For

a beef steak, this would be the amount of time between the birth of a cow (beginning time for

“supply”) and its eventual consumption. For the meat industry, certain factors like growth rates

are stable and cannot be influenced or shortened. Other factors like lead time, transit time,

number of touching points (e.g., number of intermediaries) for the product, and storage type can

be influenced to shorten or lengthen the supply chain.

 Of the three primary proteins (i.e., beef, pork, and chicken), changes in beef production

take the longest to flow through the supply chain given the amount of time it takes for cattle to
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mature enough for slaughter. Changes in cattle production take about 39 months to reach our

project company’s Tier 1 suppliers. If a cattle farmer, which falls under the Tier 2 supplier for

our sponsor company, decides to reduce the amount of “supply” due to higher feed prices, the

effect of this change will likely be absorb upstream and through a basket of market indicators,

such as live cow wholesale prices, new calves birth rate, average age at slaughter, and export

figures. Therefore, it is not clear which, if any, external data sources will be useful to find lead

indicators from Tier 2 suppliers. On the other hand, poultry grows more quickly, with changes in

production impacting the supply chain as fast as nine months. However, with respect to supply

chain length, this is still a significant amount of time. This poses similar challenges and

limitation to beef, in that the effect of upstream disruption is dispersed across many market

indicators. Therefore, for the scope of this project, potential lead indicators from upstream

suppliers beyond Tier 1, such as feedstock prices, are not considered in our model.

Figure 2

Tyson Foods: Cattle Production Timing, Growth Rates

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Figure 3

Tyson Foods: Poultry Production Timing, Growth Rates

Note. Figures from Investor Fact Book, by Tyson Foods, 2020, retrieved on November 3, 2020,
from https://s22.q4cdn.com/104708849/files/doc_factbook/2020/FactBookFY19_SinglePage-
(Final).pdf

 2.3 Demand Factors

 For distribution channels to ensure supply, operators must be able to react quickly to

changes in demand. Some examples of external factors that impact demand for our project

company include weather, payday schedule, holidays, and competitor strength. Two unique

factors for the foodservice meat distribution we want to highlight are promotions and most

recently with COVID-19, shifts to retail consumption and related lockdowns. These data would

not be consumer-related but they will give an idea of purchasing trends and patterns changed due

to the pandemic.

 2.3.1 Promotions

 For the foodservice channel, product promotions are a big cause of large, hard to predict

shifts in demand. In 2020, several restaurant chains launch meal promotions to boost demand;

however, the success of promotions led to ingredient stock-outs around the country (McCarthy,

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2019). These promotions can be detrimental for our project company because demand is difficult

to predict. However, the sponsor company does not have granular data per restaurant, as the data

are owned by the restaurant chains, what made difficult for this research to understand the effect

of promotions. Key details, such as time period of the promotions, duration and timing of stock-

outs events, and area of impact, were not available for review for this project. In addition, those

promotions only created a big variation in the availability of meat for a particular group of

restaurant chains. This means that for the aggregated beef and poultry dataset, it is not easy to

identify impacts that can be clearly attributed to promotions.

 2.3.2 Shift from Foodservice to Retail Consumption

 COVID-19 and the levels of lockdowns implemented by different states and cities in

March and April 2020 forced the immediate closure of restaurants around the country, shifting

large amounts of meat consumption from the foodservice channel to retail channels (Welshans,

2020). Meat shortages at the retail level and excess supply within the foodservice channel could

not be quickly resolved due to differences in how meat is transported, packaged, and sold in both

channels. Due to this dynamic, one external data source that we identified for our project may be

retail prices or retail consumption patterns.

 2.4 Supply Factors

 In this section, we review the relevance of diverse supply factors that may affect meat

supply chains. A supply factor is any factor that influences the amount of supply in a given

market (Pettinger, 2019). Many of these factors are relevant for all supply chains, while some are

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specific to the meat industry. We specifically look at these variables and how they connect with

supply disruptions for meat distributors of the foodservice industry.

 2.4.1 Location and Its Effects

 The supply is affected by the distance between origin and destination nodes. This clearly

depends on supplier’s location. First, the transportation lanes from supplier to distribution are

potential important factors. Longer distances between two points mean there is a longer lead time

from order to receipt, and therefore, influence supply chain decisions like speed of distribution

strategies and safety stock from inventory policies. If there is a disruption, long lead times

prolong recovery efforts.

 Another supply factor impacted by the location of suppliers is weather. For the purposes

of this paper, we only look at weather that can be defined as severe because supply chains have

mitigation plans for routine weather events (Simchi-Levi et al., 2014). While severe weather

events are geographically situated, downstream effects can impact the entire supply chain. One

such example is when very wet, cold winters occur, cattle growth is impacted which reduces

weight gains, slowing the rate of supply (CME Group, 2020). Also, when storms hit certain

regions, infrastructure may be damaged and create accidents, what may produce losses.

 With respect to our product categories, poultry is primarily raised in the Southeast United

States: Georgia, Alabama, Arkansas, North Carolina, and Mississippi are the top producing states

(The National Chicken Council, 2020). Geographically, this area is susceptible to disruption

from major storms, hurricanes, and flooding. In 2014, 3.4 million chickens drowned during

Hurricane Florence. Top states for cattle feedlots are in the Great Plains: Texas, Nebraska,
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Kansas, and Oklahoma (NCBA, 2020), states where tornadoes and severe winter weather are

more likely to occur. The clustering of these industries also poses an additional risk with respect

to regional weather disruptions. Severe weather events do not only impact production, but also

create delays for various modes of transportation and other logistic operations.

 2.4.2 Food Recalls

 Of all the potential disruptors in a supply chain, product recalls due to disease or

sanitary/phytosanitary breaches pose a unique risk to the meat industry. The U.S. Public Interest

Research Group (US PIRG) studied the Food and Drug Administration (FDA) recall data from

the past decade. These data showed that between 2013 and 2018, recall risks increased by 10%

overall, and hazardous “Class 1” protein recall risk increase by 83% (Parker, 2016; Karthikeyan

and Garber, 2019). Some of the biggest sources of foodborne diseases from Class 1 recalls –

which USDA defines as having a reasonable probability that use of the offending product could

lead to serious illness or death – include salmonella, E. coli, and listeria.

 While most of the impact of food recalls is through the retail distribution channel, there

have also been notable food contamination outbreaks in the foodservice industry. Chipotle, for

example, has been fined $25 million for various disease outbreaks between 2015 and 2018. Over

1,100 people became sick as a result of multiple outbreaks involving salmonella, E. coli,

norovirus, and more at various locations across the United States (Food Safety News, 2020). A

disruption from product recalls does not only affect the firm issuing the recall notice and its

customers, but also the wider industry in which the recall is issued. When serious questions arise

regarding the product safety of a particular food group, customer demand will decline until the

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issue is resolved or until sufficient time has passed (Lawson et al., 2019). Naturally, recalls

become an external data source to identify areas, products and seasons that are more susceptible

to supply shocks.

 2.4.3 Pricing

 From a general supply and demand economic model, pricing is a known factor that

influences the amount of quantity supplied as well as the amount of quantity demanded. Both

beef and poultry markets react to these changes, impacting pricing and vice versa throughout the

supply chain. Farmers may hold off on selling their livestock when wholesale prices are low, and

they may increase supply of livestock when prices are high. However, a similar behavior might

be observed in subsequent stakeholders (e.g., processors, packers). Price fluctuation in products

that are derived from livestock as well as price fluctuations in substitute products like pork, can

also impact overall supply of livestock (CME Group, 2020).

Figure 4

USDA: Market Beef Prices for Boneless Chuck in 2020, 2019, and 3-Year Average

 From Beef—It’s What’s For Dinner—Wholesale Price Update (2020)

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Figure 4 is an example of price variation for Boneless Chuck (a popular cut of beef)

during 2020 and the COVID-19 lockdowns. Due to this severe disruption in both supply and

demand, the volatility of price was high, indicating rapid changes in the wholesale market.

 Price elasticity is the rate at which changes in price impact the quantity demanded.

Within our two product categories, beef is more price-elastic. This means that when the price of

beef changes, the quantity demanded changes quickly with it; price changes affect poultry to a

lesser extent. It is important to note that foodservice demand may not be as elastic given that

price changes are not immediately passed on to consumers. These examples help highlight that

price fluctuations are more likely to be indicators of supply disruption than actual sources of

disruption.

 2.5 Defining Supply Chain Disruption

 Supply chain disruptions are “unexpected, significant negative deviations from process

plans caused by one or more temporal events” (Brenner, 2015). A supply chain disruption

indicates a breakdown in the underlying process due to one or multiple outside supply or demand

factors. Because of this, supply chain disruptions are unique to the specific market and industry a

company operates in. One way to evaluate the impact of a potential disruption is to associate the

disruption with the relative effects such an event will have for the company costs and their level

of service. This requires an understanding of the probability and the frequency of an event to

occur, as well as the magnitude of the impact from that event’s occurrence, based on a set of

significant factors by modeling several scenarios.

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2.5.1 Quantifying risk in food Supply Chains

 We attempted to find relevant research papers that have looked into supply chain

disruption in the food supply chain, to study the methodology and, findings, as well as to identify

the gaps in the existing academic and practical spheres. While there are many studies that have

tried to quantify the risk and resilience of the food supply chain, few exist that are specific to the

meat industry market. Brenner (2015) performed an empirical study of causes of supply chain

disruptions in the food cold chain by surveying companies about their operating procedure and

then looked for statistical significance in the responses. In her research, she developed a

classification framework to differentiate between different types of disruptions, then evaluated

the performance of different companies using a scoring model on different performance

indicators. While the context of her studies is different from our research goals, we took away

some general ideas about how to classify instances of disruption in data.

 There were several other studies that we found relevant to the topic of food supply chain

disruption. Prakash et al. (2017) examined the risk mitigation strategies of dairy farmers in India

by assigning a risk value to each strategy, as well as understanding which strategy worked the

best and what types of risks are present. In his study, he identified 17 unique risk factors

classified into four types of risk – environmental risk, demand risk, supply risk, and process risk.

Using interpretive structural modeling, the study found that environmental risks, such as natural

disasters, are the most independent risk factors and have the greatest influence on other parts of

the supply chain. This affected our decision to place high emphasis on examining severe weather

data as a potential source of disruption lead indicator.

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MacKenzie and Apte, (2017) modelled disruption in the fresh produce supply chain to

find out how to mitigate the risk to sales by looking at factors such as optimal safety stock and

average time to discover contamination in the supply chain. His study helps explain how

downstream customers are protected from disruption at upstream suppliers, as different links in

the supply chain can act as a buffer to dampen the impact. His study allows to consider that time

would be substantially affected in case of a disruption.

 2.6 Quantifying impact of supply chain risk and disruption

 One of the methods to measure supply chain risk is Value at Risk (VaR). While VaR was

a tool developed by JP Morgan for the banking industry to manage risk of losses from trades, it

can be adapted to the supply chain context. There are three components of VaR: the amount of

potential loss due to disruption, the likelihood that a disruptive event will happen, and the

timeframe for the event to take place (Lim et al., 2013). This analysis allows for comparison of

the potential disruption impact across different scenarios and timeframes. In one example of a

study relating to supply chain disruption lead indicators, Lu and Xia (2014) evaluated the risk to

supply chains from earthquakes in the United States and showed how VaR can be used to

quantify the impact.

 Another method of measuring supply chain risk is Time to Recover (TTR) and Time to

Survive (TTS). TTR measures the amount of time for a supply chain node to return to full

capacity after a disruption, and TTS measures the maximum period for a supply chain node to

continue its operations during an ongoing disruption. If a supply chain’s TTR is longer than its

TTS, then the supply chain will be unable to continue operations during a disruption without

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adequate backup plans. In his research, Simchi-Levi (2014) noted that this method was used by

Ford Motor Company in 2013 to identify risk mitigation strategies. In addition, he described how

this method could be used to model the impact of a major disruption event, such as a natural

disaster.

 VaR, TTR and TTS allow us for finding ways to measure the impact of disruptions in

terms of costs and time. Additionally, this guided our decision to identify outliers in the data and

use scenarios to model the impacts in our study.

 2.7 Conclusion

 Through our study of the relevant literature, we reviewed some demand and supply

factors that may be unique in their importance to our product categories. We found that the

location of suppliers, product recalls, and pricing are important variables we should consider in

our modeling. Additionally, we investigated how to define supply chain disruptions in our

context and the different strategies in quantifying supply disruption risk. While there is literature

surrounding leading indicators of supply chain risk and multiple scenarios to model them, there

is a lack of information about leading indicators of risk in the meat industry. Our research aims

to fill this gap.

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3. METHODOLOGY

 In this section, we will describe the process we went through to create our model. First,

we collected data from the sponsoring company and external sources, then cleaned and

standardized our data. After our data were ready, we ran regression analysis using internal data

as the dependent variable and external data as independent variables to find relevant leading

indicators of supply chain disruption. Finally, we used the data provided by the project company

with the regression outputs to create scenarios to show the financial and business impact that

changes in the dependent variables can have on the business (see Figure 5).

Figure 5

Framework for the Methodology

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3.1 Internal Data

 Our project company provided order data and average freight information from the beef

and poultry products and two restaurant categories for the last three years (2018-2020). The

order data contain order information, product attributes, and location details, which allowed us to

review order trends and map out our project company’s supply chain. Certain variables regarding

timing can be gathered: distance traveled, average lead time, and the shelf life of product. We

can also designate a frozen or fresh shipment, which relates to the overall shelf life and sourcing

strategy. From the order data, we are also able to review overall volume, and order frequency of

different items. The order data is given on a daily level, by each item on an order.

 Other data we received were the relative cost for transportation of each order for its

unique shipping lane. This costing information allows us to review variation in pricing in

addition to volume changes to help determine if a supply disruption occurred. This costing

information is provided by order, whereas the order information shows each line item per order.

 3.2 External Data

 Our literature review and industry research allowed us to strategically search for data

sources specific to the meat industry in the United States. Below are the sources that were

contemplated and used in the proposed methodology.

 3.2.1 United States Department of Agriculture (USDA) Data

 Due to federal regulations and guidelines within the industry, the United States

Department of Agriculture (USDA) National Agricultural Statistics Service provides a robust

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dataset for both beef and poultry. Through the USDA, we found publicly available data for

slaughter volumes, wholesale prices, meat imports and exports, and product recalls. From our

literature review, we decided that all of these variables could be important indicators to review in

our statistical model.

 3.2.2 National Oceanic and Atmospheric Administration (NOAA) Data

 We know that severe weather can cause a disruption within the supply chain, so we also

used data from the National Oceanic and Atmospheric Administration (NOAA) inventory of

severe weather events within the United States. The data show the damage in dollar value of the

region impacted by different types of severe weather and the day, month, and year this event

happened. In addition, we hypothesized that supply chains already plan forhold of severe

weather events, and that the driving factor is year-over-year changes. Therefore, we calculated

the year-over-year changes in damages as a percentage (i.e., rate of change). Severe weather data

have state location details for further segmentation.

 3.2.3 COVID-19 crisis

 In 2020, COVID-19 pandemic was a source of supply and demand disruptions for the

meat industry. We added this variable as a binary variable (i.e., 1 for COVID-19 months and 0

for non-COVID-19 months); however, once in the model, this variable became the only

significant explanatory variable and removed the variability from other potential significant

factors. Then, we transformed the metric into a categorical variable without any change.

Afterwards, we evaluated another COVID-19 metric: processing plant shutdowns due to

COVID-19 outbreaks and overall infection rates in communities where a large percentage of the
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population works in the meat packing industry. Ultimately, we did not add either of these factors

to our model because we found that COVID-19 was a known disruption and would not be

replicated for future disruptions.

 3.2.4 Other External Data Considerations

 For beef and poultry, we used Global Trade data from Chicago Mercantile Exchange

(CME) future trading information on total amount of pounds imported and exported. The data

are organized by country, in which we pulled the United States by total pounds and explored

both imports and exports.

 Data about futures are able to be traded within the livestock industry in order for players

in the game to manage the inherent risk that is involved in raising livestock. This information is

only available for the beef category. We ended up not adding this to our model for the sake of

scope given that we do not consider raising cattle as part of the supply chain horizon for the

sponsoring company.

 Additionally, we thought about using road condition index, which shows the mileage of

acceptable road conditions in a state compared to the overall road mileage. The overall quality of

roads does not change drastically, even due to blockages during severe weather events, so we

decided against using this variable in the model.

 3.3 Data Cleaning

 Both the internal and external data required standardization in order to create a merged

dataset suitable for multiple linear regression and other analysis.
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3.3.1 Internal Data Cleaning

 All data not pertaining to the exact products and restaurant categories being reviewed

were removed. These data included orders that were from outside the scope of suppliers in our

project. Volume outliers were also reviewed, but not removed, since the outliers could be

indicative of a disruption and we did not want to lose that information within the model.

 3.3.2 External Data Cleaning

 All external data that fell outside of the three years of order data provided by the project

company were removed. We did not remove outliers from the data because extreme events are

potential sources of major disruption. Additionally, we assessed what type of data to include

from sources like pricing, where there are wholesale and specific cut information. For the sake of

the model, we keep these variables in until further analysis in order to not bring our own bias

about what could be significant into the process.

 3.3.3 Internal/External Alignment

 One of the most important steps in our modeling was going through various iterations on

how to align our internal and external data. First, it was necessary to define the key

measurements, which include time and location specificity of each data set. Internal data is

presented on a line-item basis. This means that there is a row of data for each item on an order,

and the timing is presented by day with each order’s receipt date. Internally, three methods are

used to organize the data to create a disruption metric: volume, variation in freight spend per

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order, and variation in lead time. The formulations are created on a per month basis, since the

external data sources limit us to this timescale.

Notation:

Indices

 o: Order for products

 i: ship from location (origin)

 j: ship to location (destination)

Variables

 rdo: received date for order o of products

 odo: order date for order o of products

 , : Individual observation of freight spends for product p from origin i to destination j
 
 : Average of freight spend for products from origin i to destination j

 : Standard deviation of freight spends for products from origin i to destination j

 , : Individual observation of lead time for product p from origin i to destination j
 
 : Average lead time for products from origin i to destination j
 
 : Standard deviation of lead time for products from origin i to destination j

 DI: Disruption Indicator

 DIfo: Disruption Indicator for freight spend

 DILT: Disruption Indicator for lead time

 N: Number of observations in the dataset

 Ni,j: Number of observations in the dataset from origin i to destination j

 p: Product, either beef or poultry

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Volume for each order is calculated per SKU quantity multiplied by the SKU gross weight for all

SKUS on an order. This is calculated for all orders. Monthly volume is the summation of all

order volumes within that month, and this is performed for all months. Volume is referenced as

receipt weight further in the analysis.

Formulation

Freight Spend Variation:

 1
 = ∑ 
 =1 , ∀ , (1)
 
 1 2
 = √ ∑ 
 =1 ( , − ) (2)
 
 1 , , ≥ + 
 , , = { ∀ , , (3)
 0 ℎ 

 (1) is the mean freight spend for all orders on unique transportation lane (i, j). This is

calculated for each year so that yearly changes in freight spend do not impact the analysis. The

standard deviation for the transportation lane is also calculated (2). The standard deviation is

used in (3) to determine what orders should be designated as a disruption. An order is flagged as

a freight spend disruption if it is greater than one standard deviation away from the mean for

each lane (i,j). This decision came after reviewing the quantity of orders that fall into this interval

for each product (beef and poultry). The number of disruptive orders for freight spend falls

between 10-20% of all orders for each category.

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Lead Time Variation:

 = − (4)

 1
 = ∑ 
 =1 , ∀ , ∀ (5)
 
 1
 = √ ∑ 2
 =1 ( , − ) (6)
 
 1 , , ≥ + , , ≤ 
 
 + 
 , , = { ∀ , , (7)
 0 ℎ 

 Lead time variation is calculated in similarly to freight spend variation. First, the lead

time per order is calculated in (4), which is the difference between the received date and the

order data. The mean (5) and standard deviation (6) are calculated for all orders on each unique

transportation lane (i,j). An order will count as a lead time disruption if it is either one standard

deviation over the mean or one standard deviation below the mean. Ultimately, it was unclear

with the company data whether a shorter transit time or a longer transit time as compared to the

average was a disruption, so we modeled both in (7). The total number of orders that count as a

disruption account for 10-20% of all orders for both categories.

 For the external data, the data are organized differently from each source. The primary

data sources are grouped together with respect to location and time. Table 1 shows a sample of

our data dictionary. The location and time specificities are the most granular level of detail that

we were able to find for these data. For data like severe weather, which have more specific

location categories, we can designate different regional impacts since our project company has

suppliers in clustered locations.
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Table 1
External Data Dictionary

 Data Source Data Description Key measurements Location Specificity Time Specificity
 USDA Slaughter Rates Volume (in lbs) State level Monthly
 NOAA Severe Weather $ Property Damage State level Daily
 USDA Product Recalls Volume (in lbs) National Day Opened
 USDA Imports/Exports Volume (in lbs) National Monthly
 USDA Wholesale Pricing Price (per lbs) National Monthly

 For the analysis, we chose to review our data on a national level. The decision to do this

came from the notion that there is little information known about upstream suppliers. For

example, if we dive into the slaughter rates of a specific state, we are unable to know if any of

that slaughtered meat is in our supply chain. This same issue exists for severe weather events.

We needed to make a similar decision with regard to time specificity, where we needed to

aggregate all data per month.

 3.4 Analysis Framework

 Once the internal and external data were aligned and processed, the next step in building

our model was to explore the data, run multiple linear regression, and create a scenario analysis

to quantify the financial and time impacts due to disruptions.

 3.4.1 Exploratory Analysis

 After we fully aligned our internal and external data on the same time scale for analysis,

there were 36-line items for each category to cover each month from 2018-2020. The internal

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and external data were combined for initial exploratory analysis to identify patterns and trends.

This portion of the modeling was done in Python using Pandas and Google Collab notebooks.

 Before running our variables through regression, we standardize the data using standard

deviation to remove the biases from different data scales, and check for multicollinearity to

remove those variables that are highly correlated with each other.

 Multiple linear regression is then performed on each of our three disruptive factors:

volume changes, freight charges, and lead time variation. A multiple linear regression formula

looks as follows:

 y = β0 + β1x1 + β2x2 + ... + βpxp + ϵ

where,

 y = dependent variable

 xi = explanatory variables ∀ ∈ {1, … , }

 β0 =y-intercept (constant term)

 βi = slope coefficients for each explanatory variable ∀ ∈ {1, … , }

 ϵ = the model’s error term (also known as the residuals)

 The process includes modeling many iterations on the data to find the most statistically

significant variables for disruption. The regression analysis helps identify key risk factors, the

level of their impact, and the likelihood that the impact is statistically significant. It also helps us

understand what percent of the model is not yet explained. While there are many different

variables considered in the analysis, many of these were not found to have any significance and

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were removed from the model. For each regression model, we graph the absolute value of

residuals to check for presence of heteroscedasticity to ensure that assumption for ordinary least

squares regression is valid. In addition, we check the normality of the residuals to ensure that the

variability of our model follows a normal distribution.

 Due to the nature of the project, regression is also performed with a lagging indicator. A

lag is used to determine if supply shocks from one month take time to impact the company

business; a hurricane may occur in June, but the supply shock from this disruption is not seen

until July.

 3.4.2 Scenario Analysis

 Once key risk factors were identified through regression modeling, some scenarios are

created for each factor to analyze the potential overall impact on the supply chain. The

minimum, mean, and maximum values for the independent variables in the regression output are

used to create a worst-case and best-case scenario for each model. For the independent variables,

the median and the mean did not show differences and we chose to use the mean to feed the

model.

 The freight order disruption models calculate the number of expected shipments that fall

outside of one standard deviation of the average freight spend for that lane. This information is

then used to calculate the estimated cost impact of these variations. The estimated cost of a

disruptive freight order is calculated by subtracting the average dollar amount of all non-

disruptive orders from the average dollar amount of the disruptive freight orders. Similarly, the

estimated number of days in monthly delay from disruptions can be calculated by multiplying the
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expected number of disruptive orders by the difference between average days to fulfill non-

disruptive orders and disruptive order. This allows the company to quantify the cost and

operational impact of disruptions in dollar amount and days.

 For the receipt weight regression models, the same process is followed for the scenario

analysis; however, the regression estimates the variation in the total amount of volume ordered in

a month. To quantity a potential impact for the company, the average weight of all orders is used

to estimate the change number of orders due to the variation in receipt weight.

 In the next section, results and managerial insights from the proposed methodology are

presented to help the sponsor company understand the impact of significant factors into their

distribution operations under a few scenarios.

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4. RESULTS

 In this section, we present the results of two regression models for both poultry and beef

that were found to have the most predictive power. The models chosen for poultry and beef have

the highest R2 values for each of the disruption indicators. For poultry, the lead time disruption

indicator is not included, and for beef the freight spend indicator is not included because these

indicators were not found to be significant for their respective categories. For each of the

regression models that do have a good predictive power, we then present the scenario analysis to

help translate our findings into relevant impacts for the project company.

 4.1 Correlation Analysis

 An important part of the analysis to prepare the data for the regression model was

exploring the relationships between variables. Understanding the correlation between variables

helps to point at any underlying trends within the data. Visually, this is presented as a heat map

in Figure 6. Darker red colors indicate a strong positive correlation, meaning as one variable

increases so does the other. Lighter colors indicate a strong negative correlation, meaning as one

variable increases the other decreases, or the variables are inversely related.

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Figure 6
Variable Correlation Heat Map

 4.2 Poultry

 The regression outputs are the two models that show the highest predictive power given

the datasets. The lead time variation disruption indicator did not provide a robust output during

the modeling process, so it is not included in the results. Additionally, many of the variables

were found to be statistically insignificant – only two independent variables are found to have

significance in both models.

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4.2.1 Regression Analysis

 Table 2 shows the summary statistics for the two regression models. Freight spend and

receipt weight are the dependent variables where we find the most significance. The R2 values

indicate how much variability in freight spend and receipt weight is explained by the

independent variables, respective for each model. The total number of observations is equal to 36

- for one observation per month from the three years of company data. Each regression model

has two independent variables which leads to 33 degrees of freedom on the residual. Only two

independent variables are modeled because the other variables were found to be statistically

insignificant or were removed earlier in the process due to multicollinearity.

Table 2
Regression Model Outputs for Poultry

 Regression Output Regression 1 Regression 2
 Dependent Variable Freight Spend Receipt Weight
 Adjusted R2 0.384 0.513
 F-Statistic 11.91 19.46
 # of Observations 36 36
 Degree of freedom – Residuals 33 33
 Degree of freedom - Model 2 2

Table 3

Regression Model 1

 t-
 Variable Coefficient Std. Error Statistic P>|t|
 Intercept 9.3407 32.576 0.287 0.776
 National Competitive
 Price -0.3621 0.121 -2.981 0.005
 Net Export 0.0001 0.0000461 2.441 0.02

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