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Food Supply Chains

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Networks Against Time

Part of the book series: SpringerBriefs in Optimization ((BRIEFSOPTI))

Abstract

In this chapter, we construct a food supply chain network model under oligopolistic competition and perishability, with a focus on fresh produce. The model handles food spoilage through arc multipliers, with the inclusion of the discarding costs associated with disposal. We allow for product differentiation due to such relevant issues as product freshness and food safety and include alternative technologies associated with various supply chain activities. A case study, in which we analyze different scenarios prior to, during, and post a foodborne disease outbreak, based on the cantaloupe market, illustrates the modeling and computational framework.

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References

  • Ahumada O, Villalobos JR (2009) Application of planning models in the agri-food supply chain: a review. Eur J Oper Res 196(1):1–20

    Article  MATH  Google Scholar 

  • Ahumada O, Villalobos JR (2011) A tactical model for planning the production and distribution of fresh produce. Ann Oper Res 190:339–358

    Article  MathSciNet  MATH  Google Scholar 

  • Aiello G, La Scalia G, Micale R (2012) Simulation analysis of cold chain performance based on time-temperature data. Prod Plann Contr 23(6):468–476

    Article  Google Scholar 

  • Akkerman R, Farahani P, Grunow M (2010) Quality, safety and sustainability in food distribution: A review of quantitative operations management approaches and challenges. OR Spectrum 32(4):863–904

    Article  Google Scholar 

  • Bhuyan S (2005) Does vertical integration effect market power? Evidence from U.S. food manufacturing industries. J Agr Appl Econ 37(1):263–276

    Google Scholar 

  • Blackburn J, Scudder G (2009) Supply chain strategies for perishable products: The case of fresh produce. Prod Oper Manag 18(2):129–137

    Article  Google Scholar 

  • Cournot AA (1838) Researches into the mathematical principles of the theory of wealth, English translation. MacMillan, London

    Google Scholar 

  • Dupuis P, Nagurney A (1993) Dynamical systems and variational inequalities. Ann Oper Res 44:9–42

    Article  MathSciNet  MATH  Google Scholar 

  • Fu B, Labuza TP (1993) Shelf-life prediction: theory and application. Food Contr 4(3):125–133

    Article  Google Scholar 

  • Gabay D, Moulin H (1980) On the uniqueness and stability of Nash equilibria in noncooperative games. In: Bensoussan A, Kleindorfer P, Tapiero CS (eds) Applied stochastic control of econometrics and management science. North-Holland, Amsterdam, pp 271–294

    Google Scholar 

  • Gustavsson J, Cederberg C, Sonesson U, Van Otterdijk R, Meybeck A (2011) Global food losses and food waste. The Food and Agriculture Organization of the United Nations, Rome, Italy

    Google Scholar 

  • Kinderlehrer D, Stampacchia G (1980) An introduction to variational inequalities and their applications. Academic, New York

    MATH  Google Scholar 

  • Kopanos GM, Puigjaner L, Georgiadis MC (2012) Simultaneous production and logistics operations planning in semicontinuous food industries. Omega 40(5): 634–650

    Article  Google Scholar 

  • Labuza TP (1982) Shelf-life dating of foods. Food & Nutrition Press, Westport, CT

    Google Scholar 

  • Liu Z, Nagurney A (2012) Multiperiod competitive supply chain networks with inventorying and a transportation network equilibrium reformulation. Optim Eng 13(3):471–503

    Article  MathSciNet  Google Scholar 

  • Lowe TJ, Preckel PV (2004) Decision technologies for agribusiness problems: A brief review of selected literature and a call for research. Manuf Serv Oper Manag 6(3):201–208

    Article  Google Scholar 

  • Lucas MT, Chhajed D (2004) Applications of location analysis in agriculture: A survey. J Oper Res Soc 55(6):561–578

    Article  MATH  Google Scholar 

  • Lütke Entrup M (2005) Advanced planning in fresh food industries: integrating shelf life into production planning. Physica-Verlag/Springer, Heidelberg

    Google Scholar 

  • Man CMD, Jones AA (1994) Shelf life evaluation of foods. Blackie Academic & Professional, Glasgow

    Book  Google Scholar 

  • Meister HS (2004a) Sample cost to establish and produce cantaloupes (slant-bed, spring planted). U.C. Cooperative Extension – Imperial County Vegetable Crops Guidelines, August 2004

    Google Scholar 

  • Meister HS (2004b) Sample cost to establish and produce cantaloupes (mid-bed trenched). U.C. Cooperative Extension – Imperial County Vegetable Crops Guidelines, August 2004

    Google Scholar 

  • Monteiro DMS (2007) Theoretical and empirical analysis of the economics of traceability adoption in food supply chains. PhD Thesis, University of Massachusetts, Amherst, Massachusetts

    Google Scholar 

  • Nagurney A (1999) Network economics: a variational inequality approach, 2nd and revised edition. Kluwer Academic, Dordrecht

    Google Scholar 

  • Nagurney A (2006) Supply chain network economics: dynamics of prices, flows and profits. Edward Elgar Publishing, Cheltenham

    Google Scholar 

  • Nagurney A, Aronson J (1989) A general dynamic spatial price network equilibrium model with gains and losses. Networks 19(7):751–769

    Article  MATH  Google Scholar 

  • Nagurney A, Dong J, Zhang D (2002) A supply chain network equilibrium model. Transport Res E 38(5):281–303

    Article  Google Scholar 

  • Nagurney A, Li D (2012) A dynamic network oligopoly model with transportation costs, product differentiation, and quality competition. Isenberg School of Management, University of Massachusetts, Amherst, MA

    Google Scholar 

  • Nahmias S (1982) Perishable inventory theory: a review. Oper Res 30(4):680–708

    Article  MathSciNet  MATH  Google Scholar 

  • Nash JF (1950) Equilibrium points in n-person games. Proc Natl Acad Sci USA 36:48–49

    Article  MathSciNet  MATH  Google Scholar 

  • Nash JF (1951) Noncooperative games. Ann Math 54:286–298

    Article  MathSciNet  MATH  Google Scholar 

  • Nga MTT (2010) Enhancing quality management of fresh fish supply chains through improved logistics and ensured traceability. PhD Thesis, University of Iceland, Reykjavik, Iceland

    Google Scholar 

  • Rong A, Akkerman R, Grunow M (2011) An optimization approach for managing fresh food quality throughout the supply chain. Int J Prod Econ 131(1):421–429

    Article  Google Scholar 

  • Sommer NF, Fortlage RJ, Edwards DC (2002) Postharvest diseases of selected commodities. In: Kader AA (ed) Postharvest technology of horticultural crops, 3rd edn. University of California Agriculture & Natural Resources, Publication 3311, Oakland, California, pp 197–249

    Google Scholar 

  • Suslow TV, Cantwell M, Mitchell J (1997) Cantaloupe: recommendations for maintaining postharvest quality. Department of Vegetable Crops, University of California, Davis, California

    Google Scholar 

  • Thompson JF (2002) Waste management and cull utilization. In: Kader AA (ed) Postharvest technology of horticultural crops, 3rd edn. University of California Agriculture & Natural Resources, Publication 3311, Oakland, California, pp 81–84

    Google Scholar 

  • Tijskens LMM, Polderdijk JJ (1996) A generic model for keeping quality of vegetable produce during storage and distribution. Agr Syst 51(4):431–452

    Article  Google Scholar 

  • United States Department of Agriculture (USDA) (2011) Fruits and vegetables (farm weight): Per capita availability, 1970–2009. Available online at: http://www.ers.usda.gov/datafiles/Food_Availability_Per_Capita_Data_System/Food_Availability/fruitveg.xls

  • Van der Vorst JGAJ (2006) Performance measurement in agri-food supply-chain networks: An overview. In: Ondersteijn CJM, Wijnands JHM, Huirne RBM, Van Kooten O (eds) Quantifying the agri-food supply chain. Springer, Dordrecht, pp 15–26

    Chapter  Google Scholar 

  • Van Zyl GJJ (1964) Inventory control for perishable commodities. PhD Thesis, University of North Carolina, Chapel Hill, North Carolina

    Google Scholar 

  • Widodo KH, Nagasawa H, Morizawa K, Ota M (2006) A periodical flowering-harvesting model for delivering agricultural fresh products. Eur J Oper Res 170(1):24–43

    Article  MATH  Google Scholar 

  • Yu M, Nagurney A (2013) Competitive food supply chain networks with application to fresh produce. Eur J Oper Res 224(2):273–282

    Article  Google Scholar 

  • Zhang G, Habenicht W, SpießWEL (2003) Improving the structure of deep frozen and chilled food chain with tabu search procedure. J Food Eng 60(1):67–79

    Google Scholar 

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© 2013 Anna Nagurney, Min Yu, Amir H. Masoumi, Ladimer S. Nagurney

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Nagurney, A., Yu, M., Masoumi, A.H., Nagurney, L.S. (2013). Food Supply Chains. In: Networks Against Time. SpringerBriefs in Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6277-4_4

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