Quality in Competitive Fresh Produce Supply Chains with Application to Farmers’ Markets

Fresh produce supply chains have special characteristics, notably, that the quality of the product (fruit or vegetable) deteriorates continuously over time, even under ideal conditions. In this paper, we begin with explicit formulae for fresh produce quality deterioration based on chemistry and temperature and provide a path-based framework. We then focus on farmers' markets, the popularity of which has been growing due to consumers' greater awareness of and interest in product quality and emphasis on health. Farmers' markets, as examples of direct to consumer channels and shorter supply chains, are studied in the framework of game theory in both uncapacitated and capacitated versions. A case study of apples in Massachusetts, under various scenarios, including production disruptions, provides quantitative evidence of the applicability of our supply chain network approach.

[1]  Vaios T. Karathanos,et al.  Drying kinetics of some vegetables , 2003 .

[2]  Amir H. Masoumi,et al.  A Supply Chain Generalized Network Oligopoly Model for Pharmaceuticals under Brand Differentiation and Perishability , 2012 .

[3]  Tim Van Pelt,et al.  Food, Fuel, and Freeways: An Iowa perspective on how far food travels, fuel usage, and greenhouse gas emissions , 2001 .

[4]  Timothy J. Lowe,et al.  Decision Technologies for Agribusiness Problems: A Brief Review of Selected Literature and a Call for Research , 2004, Manuf. Serv. Oper. Manag..

[5]  John Hendrickson,et al.  Energy Use in the U.S. Food System: a summary of existing research and analysis , 2005 .

[6]  L. Tijskens,et al.  A generic model for keeping quality of vegetable produce during storage and distribution , 1996 .

[7]  A. Cournot Researches into the Mathematical Principles of the Theory of Wealth , 1898, Forerunners of Realizable Values Accounting in Financial Reporting.

[8]  G. Gebresenbet,et al.  Integrated Logistics Network for the Supply Chain of Locally Produced Food, Part I: Location and Route Optimization Analyses , 2011 .

[9]  C. Francis,et al.  Farmer and Consumer Attitudes at Farmers Markets in Norway , 2007 .

[10]  R. King,et al.  Growing Local: Case Studies on Local Food Supply Chains , 2015 .

[11]  Robert S. Lawrence,et al.  Food Systems and Public Health Disparities , 2009, Journal of hunger & environmental nutrition.

[12]  Carol Reeves,et al.  DEFINING QUALITY: ALTERNATIVES AND IMPLICATIONS , 1994 .

[13]  A. Nagurney,et al.  Projected Dynamical Systems and Variational Inequalities with Applications , 1995 .

[14]  A. Nagurney,et al.  Competing on Supply Chain Quality: A Network Economics Perspective , 2016 .

[15]  Wansheng Tang,et al.  Joint dynamic pricing and investment strategy for perishable foods with price-quality dependent demand , 2015, Ann. Oper. Res..

[16]  L.M.M. Tijskens,et al.  Concepts for modelling the quality of perishable products , 1996 .

[17]  R. Singh,et al.  The major types of food spoilage: an overview. , 2004 .

[18]  Anna Nagurney,et al.  Supply chain network design under profit maximization and oligopolistic competition , 2010 .

[19]  D. Kinderlehrer,et al.  An introduction to variational inequalities and their applications , 1980 .

[20]  Anna Nagurney,et al.  A dynamical systems approach for network oligopolies and variational inequalities , 1994 .

[21]  Theodore P. Labuza,et al.  Application of chemical kinetics to deterioration of foods , 1984 .

[22]  Jesus René Villalobos,et al.  Application of planning models in the agri-food supply chain: A review , 2009, Eur. J. Oper. Res..

[23]  N. Zhang,et al.  Stability of Anthocyanin in Wild Blueberry Fruit and Its Degradation Kinetics , 2012 .

[24]  Diane M. Barrett,et al.  Color, Flavor, Texture, and Nutritional Quality of Fresh-Cut Fruits and Vegetables: Desirable Levels, Instrumental and Sensory Measurement, and the Effects of Processing , 2010, Critical reviews in food science and nutrition.

[25]  Anna Nagurney,et al.  Competitive Food Supply Chain Networks with Application to Fresh Produce , 2012 .

[26]  E. Barham,et al.  Defining and Marketing Local Foods: Geographical Indications for U.S. Products , 2010 .

[27]  J. Nash Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[28]  T. Singh,et al.  Ways of measuring shelf-life and spoilage. , 2004 .

[29]  P. Taoukis,et al.  Applicability of Time‐Temperature Indicators as Shelf Life Monitors of Food Products , 1989 .

[30]  Renzo Akkerman,et al.  Quality, safety and sustainability in food distribution: a review of quantitative operations management approaches and challenges , 2010, OR Spectr..

[31]  Sara Fabbrizzi,et al.  The Short Food Supply Chain: A Concrete Example of Sustainability. A Literature Review , 2014 .

[32]  S. Nahmias Perishable Inventory Systems , 2011 .

[33]  Daoqin Tong,et al.  Locating farmers’ markets with an incorporation of spatio-temporal variation , 2012 .

[34]  Jesus René Villalobos,et al.  A tactical model for planning the production and distribution of fresh produce , 2011, Ann. Oper. Res..

[35]  J. Abbott Quality measurement of fruits and vegetables , 1999 .

[36]  C. Bond,et al.  What Influences Consumer Choice of Fresh Produce Purchase Location? , 2009, Journal of Agricultural and Applied Economics.

[37]  S. Sablani,et al.  Predicting the Quality of Pasteurized Vegetables Using Kinetic Models: A Review , 2013, International journal of food science.

[38]  J. Murdoch,et al.  Quality, Nature, and Embeddedness: Some Theoretical Considerations in the Context of the Food Sector* , 2000 .

[39]  Anna Nagurney,et al.  Dynamical systems and variational inequalities , 1993, Ann. Oper. Res..

[40]  Gary D. Scudder,et al.  Supply Chain Strategies for Perishable Products: The Case of Fresh Produce , 2009 .

[41]  N. Mrad,et al.  Influence of air drying temperature on kinetics, physicochemical properties, total phenolic content and ascorbic acid of pears , 2012 .

[42]  L. Babiak Exploring Local Food System Practices and Perceptions: Insights from Florida's SNAP-Authorized Farmers' Markets , 2013 .

[43]  S. Arrhenius Über die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker durch Säuren , 1889 .

[44]  M. Giannakourou,et al.  Kinetic modelling of the quality degradation of frozen watermelon tissue: effect of the osmotic dehydration as a pre‐treatment , 2007 .

[45]  Pedro Amorim,et al.  Production Planning of Perishable Food Products by Mixed-Integer Programming , 2015 .

[46]  M. R. Ochoa,et al.  Kinetics of colour change of raspberry, sweet (Prunus avium) and sour (Prunus cerasus) cherries preserves packed in glass containers: light and room temperature effects , 2001 .

[47]  Theodore P. Labuza,et al.  Shelf-Life Dating of Foods , 1982 .

[48]  A. Nagurney Supply Chain Network Economics: Dynamics of Prices, Flows and Profits , 2006 .

[49]  Michael E. Ketzenberg,et al.  Managing Perishables with Time and Temperature History , 2015 .

[50]  Alysson M. Costa,et al.  Influence of consumer purchasing behaviour on the production planning of perishable food , 2014, OR Spectr..

[51]  Inês Castro,et al.  Ohmic heating of strawberry products: electrical conductivity measurements and ascorbic acid degradation kinetics , 2004 .

[52]  S. Deweerdt Is Local Food Better? , 2009 .

[53]  Giuseppe Aiello,et al.  Simulation analysis of cold chain performance based on time–temperature data , 2012 .

[54]  J. Nash,et al.  NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[55]  Moya Kneafsey,et al.  Reading the space of the farmers' market: a preliminary investigation from the UK. , 2000 .

[56]  O. Karim,et al.  A dynamic method for kinetic model of ascorbic acid degradation during air dehydration of pretreated pineapple slices , 2009 .

[57]  Luanne Lohr,et al.  Local Food Systems: Concepts, Impacts, and Issues , 2012 .

[58]  H. Ramaswamy,et al.  EFFECT OF PECTIN-BASED COATING ON THE KINETICS OF QUALITY CHANGE ASSOCIATED WITH STORED AVOCADOS , 2008 .

[59]  Raphael Aregu,et al.  Market and price decision enhancement services for farmers in Uganda , 2014 .

[60]  Guimei Zhang,et al.  Improving the structure of deep frozen and chilled food chain with tabu search procedure , 2003 .

[61]  John N. Tsitsiklis,et al.  Parallel and distributed computation , 1989 .

[62]  A. Kader FRUIT MATURITY, RIPENING, AND QUALITY RELATIONSHIPS , 1999 .

[63]  R. Akkerman,et al.  An optimization approach for managing fresh food quality throughout the supply chain , 2011 .

[64]  J. G. A. J. van der Vorst,et al.  Effective food supply chains; generating, modelling and evaluating supply chain scenarios , 2000 .

[65]  Amir H. Masoumi,et al.  Networks Against Time: Supply Chain Analytics for Perishable Products , 2013 .