Abstract
We present an integrated tactical planning model for the production and distribution of fresh produce. The main objective of the model is to maximize the revenues of a producer that has some control over the logistics decisions associated with the distribution of the crop. The model is used for making planning decisions for a large fresh produce grower in Northwestern Mexico. The decisions obtained are based on traditional factors such as price estimation and resource availability, but also on factors that are usually neglected in traditional planning models such as price dynamics, product decay, transportation and inventory costs. The model considers the perishability of the crops in two different ways, as a loss function in its objective function, and as a constraint for the storage of products. The paper presents a mixed integer programming model used to implement the problem as wells as the computational results obtained from it.
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Ahuja, R. K., Magnanti, T. L., & Orlin, J. B. (1993). Network flows: theory, algorithms and applications. Upper Saddle River: Prentice-Hall.
Ahumada, O., & Villalobos, J. R. (2009). Application of planning models in the supply chain of agricultural products: a review. European Journal of Operational Research, 190(1), 1–20.
Allen, S. J., & Schuster, E. W. (2004). Controlling the risk for an agricultural harvest. Manufacturing & Service Operations Management, 6(3), 225–236.
Arellano, J. (2001). Validación de Hortalizas, Campo Experimental del Valle de Culiacán, Mayo. Unpublished study of the Commission for the Research and Defense of Horticultural Crops of the State of Sinaloa (http://www.cidh.org.mx). Copies of this document available upon request.
Caixeta-Filho, J. V., van Swaay-Neto, J. M., & Wagemaker, A. P. (2002). Optimization of the production planning and trade of lily flowers at Jan de Wit Company. Interfaces, 32(1), 35–46.
Dimitri, C., Tegene, A., & Kaufman, P. R. (2003). US fresh produce markets: marketing channels, trade practices, and retail pricing behavior. Agricultural Economic Report No. 825, USDA.
Epperson, J. E., & Estes, E. A. (1999). Fruit and vegetable supply-chain management, innovations, and competitiveness: cooperative regional research project S-222. Journal of Food Distribution, 30, 38–43.
Glen, J. (1987). Mathematical-models in farm-planning—a survey (1987). Operations Research, 35(5), 641–666.
Faulin, J. (2003). Applying MIXALG procedure in a routing problem to optimize food product delivery. Omega, 31, 387–395.
Ferrer, J. C., Mac Cawley, A., Maturana, S., Toloza, S., & Vera, J. (2008). An optimization approach for scheduling wine grape harvest operations. International Journal of Production Economics, 112(2), 985–999.
FIRA (2007). Rentabilidad y costos de cultivo de tomate en Sinaloa. [Profitability and costs of tomato production in Sinaloa]. http://portal.fira.gob.mx/Files/TOMATE%20Sinaloa%20-%20Analisis%20de%20Costos.pdf. Accessed May 15, 2009.
Fujiwara, O., & Perera, U. L. J. S. R. (1993). EOQ models for continuously deteriorating products using linear and exponential penalty costs. European Journal of Operational Research, 70, 104–114.
Goyal, S. K., & Giri, B. C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134, 1–16.
Hamer, P. J. C. (1994). A decision support system for the provision of planting plans for Brussels sprouts. Computers and Electronics in Agriculture, 11, 97–115.
Lutke Entrup, L. M., Gunther, H. O., Van Beek, P., Grunow, M., & Seiler, T. (2005). Mixed-integer linear programming approaches to shelf-life-integrated planning and scheduling in yogurt production. International Journal of Production Research, 43(23), 5071–5100.
Kaufman, P., Handy, C., McLaughlin, E. V., Park, K., & Green, G. M. (2000). Understanding the dynamics of produce markets: consumption and consolidation grow. US Department of Agriculture-Economic Research Service, Market and Trade Economics Division. Agricultural Information Bulletin No. 758.
Lowe, T. J., & Preckel, P. V. (2004). Decision technologies for agribusiness problems: a brief review of selected literature and a call for research. Manufacturing & Service Operations Management, 6(3), 201–208.
Nahmias, S. (1982). Perishable inventory theory: a review. Operations Research, 30(4), 680–708.
Osvald, A., & Stirn, L. Z. (2008). A vehicle routing algorithm for the distribution of fresh vegetables and similar perishable food. Journal of Food Engineering, 85, 285–295.
Perosio, D. J., McLaughlin, E. W., Cuellar, S., & Park, K. (2001). Supply chain management in the produce industry. Produce Marketing Association: Newark (pp. 22–32).
Raafat, F. (1991). Survey of literature on continuously deteriorating inventory models. Journal of the Operational Research Society, 42(1), 27–37.
Robles, M. H., & Santana, L. (1997). Programación de siembra de tomate temporada 1997–1998. Comisión para la Investigación y Defensa de las Hortalizas (CIDH). Unpublished study of the Commission for the Research and Defense of Horticultural Crops of the State of Sinaloa (http://www.cidh.org.mx). Copies of this document available upon request.
Sanchez, O. (2007). Strategic design of a logistics platform for fresh produce. Master of Science Thesis, Arizona State University.
Thompson, G. D., & Wilson, P. N. (1997). The organizational structure of the North American fresh tomato market: implications for seasonal trade disputes. Agribusiness, 13(5), 533–547.
United States Department of Agriculture (1991). United States Standards for Grades of Fresh Tomatoes. http://www.ams.usda.gov/AMSv1.0/getfile?dDocName=STELPRDC5050331. Accessed May 15, 2007.
United States Department of Agriculture (2006). Fruit and Vegetable Truck Rate Report, WA_FV190. http://www.ams.usda.gov/fv/mnmovement.htm. Accessed May 15, 2009.
United States Department of Agriculture (2007). Shipping point Report, Agricultural Marketing Services. http://marketnews.usda.gov/portal/fv. Accessed May 15 2009.
Van Berlo, J. M. (1993). A decision support tool for the vegetable processing industry; an integrative approach of market, industry and agriculture. Agricultural Systems, 43, 91–109.
Welby, E. M., & McGregor, B. (2004). Agricultural export transportation handbook. Agricultural Marketing Service. US Department of Agriculture.
Wolsey, L. A. (1998). Integer programming. New York: Wiley.
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Ahumada, O., Villalobos, J.R. A tactical model for planning the production and distribution of fresh produce. Ann Oper Res 190, 339–358 (2011). https://doi.org/10.1007/s10479-009-0614-4
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DOI: https://doi.org/10.1007/s10479-009-0614-4