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Application of planning models in the agri-food supply chain: A review. (English) Zbl 1159.90441
Summary: The supply chain of agricultural products has received a great deal of attention lately due to issues related to public health. Something that has become apparent is that in the near future the design and operation of agricultural supply chains will be subject to more stringent regulations and closer monitoring, in particular those for products destined for human consumption (agri-foods). This implies that the traditional supply chain practices may be subject to revision and change. One of the aspects that may be the subject of considerable scrutiny is the planning activities performed along the supply chains of agricultural products. In this paper, we review the main contributions in the field of production and distribution planning for agri-foods based on agricultural crops. We focus particularly on those models that have been successfully implemented. The models are classified according to relevant features, such as the optimization approaches used, the type of crops modeled and the scope of the plans, among many others. Through our analysis of the current state of the research, we diagnose some of the future requirements for modeling the supply chain of agri-foods.

90B90 Case-oriented studies in operations research
90B06 Transportation, logistics and supply chain management
90B05 Inventory, storage, reservoirs
Full Text: DOI
[1] Abdulkadri, A.; Ajibefun, I.A., Developing alternative farm plans for cropping systems decision-making, Agricultural systems, 56, 4, 431-442, (1998)
[2] Adesina, A.A.; Sanders, J.H., Peasant farmer behavior and cereal technologies: stochastic programming analysis in niger, Agricultural economics, 5, 21-38, (1991)
[3] Aleotti, L.O.; Araujo, R.; Yahya, R., Selection of postharvest technology routes by mixed-integer linear programming, International journal of production economics, 49, 85-90, (1997)
[4] Allen, S.J.; Schuster, E.W., Controlling the risk for an agricultural harvest, Manufacturing & service operations management, 6, 3, 225-236, (2004)
[5] Alocilja, E.C.; Ritchie, J.T., The application of SIMOPT2: Rice to evaluate profit and yield-risk in upland-Rice production, Agricultural systems, 33, 315-326, (1990)
[6] Annevelink, E., Operational planning in horticulture: optimal space allocation in pot-plant nurseries using heuristic techniques, Journal of agricultural engineering research, 51, 167-177, (1992)
[7] Apaiah, R.K.; Hendrix, E.M.T., Design of supply chain network for a pea-based novel protein foods, Journal of food engineering, 70, 383-391, (2005)
[8] Aramyan, C.; Ondersteijn, O.; van Kooten, O.; Lansink, A.O., Performance indicators in agri-food production chains, Quantifying the agri-food supply chain, (2006), Springer Netherlands, (Chapter 5), pp. 49-66
[9] Backus, G.B.C.; Eidman, V.R.; Dijkhuizen, A.A., Farm decision under risk and uncertainty, Netherlands journal of agricultural science, 45, 307-328, (1997)
[10] Beamon, B.M., Supply chain design and analysis: models and methods, International journal of production economics, 55, 281-294, (1998) · Zbl 0951.90521
[11] Berge ten, H.F.M.; van Ittersum, M.K.; Rossing, W.A.H.; van de Ven, G.W.J.; Schans, J.; van de Sanden, P.A.C.M., Farming options for The Netherlands explored by multi-objective modeling, European journal of agronomy, 13, 263-277, (2000)
[12] Biere, A., 2001. Agribusiness Logistics: An Emerging Field in Agribusiness Education, International Food and Agribusiness Management Association, Agribusiness Forum and Symposium, Sydney, Australia, <http://www.ifama.org/conferences/2001Conference/Papers/Area%20I/Biere_Arlo.PDF>.
[13] Bin Deris, S.; Ohta, H., A machine-scheduling model for large-scale Rice production in Malaysia, Journal of the operational research society, 41, 8, 713-723, (1990)
[14] Biswas, A.; Pal, B.B., Application of fuzzy goal programming technique to land use planning in agricultural systems, Omega, 33, 391-398, (2005)
[15] Boehlje, M., Structural changes in the agricultural industries: how do we measure, analyze and understand them?, American journal of agricultural economics, 81, 5, 108-1041, (1999)
[16] Boehlje, M., Fulton, J., Gray, A., Nilsson, T., 2003. Strategic Issues in the Changing Agricultural Industry, Purdue University, Department of Agricultural Economics, CES-341.
[17] Bourlakis, M.A.; Weightman, P.W.H., Food supply chain management, (2004), Blackwell Publishing Oxford, UK
[18] Burton, R.O.; Crisostomo, M.F.; Berends, P.T.; Kelley, K.W.; Buller, O.H., Risk/return analysis of double-cropping and alternative crop rotations with and without government programs, Review of agricultural economics, 18, 681-696, (1996)
[19] Butterworth, K., Practical application of linear/integer programming in agriculture, Journal of the operational research society, 36, 2, 99-107, (1985)
[20] Caixeta-Filho, J.V.; van Swaay-Neto, J.M.; Wagemaker, A.P., Optimization of the production planning and trade of lily flowers at jan de wit company, Interfaces, 32, 1, 35-46, (2002)
[21] Caixeta-Filho, J.V., Orange harvesting scheduling management: A case study, Journal of the operational research society, 57, 6, 637-642, (2006) · Zbl 1121.90336
[22] Chandra, P.; Fisher, M.L., Coordination of production and distribution planning, European journal of operational research, 72, 503-517, (1994) · Zbl 0805.90051
[23] Chen, I.J.; Paulraj, A., Understanding supply chain management; critical research and theoretical framework, International journal of production research, 42, 1, 131-163, (2004) · Zbl 1052.90504
[24] Chopra, S.; Meindl, P., Supply chain management: strategy, planning and operation, (2003), Pearson Education, Inc. Upper Saddle River, New Jersey
[25] Christopher, M., Logistics and supply chain management, (2005), Prentice Hall London
[26] Clarke, H.R., Combinatorial aspects of cropping pattern selection in agriculture, European journal of operational research, 40, 70-77, (1989)
[27] Council of Logistics Management (CLM), 2006. <http://www.clm1.org>, Consulted on November.
[28] Darby-Dowman, K.; Barker, S.; Audsley, E.; Parsons, D., A two-stage stochastic programming robust planting plans in horticulture, Journal of the operational research society, 51, 83-89, (2000) · Zbl 1107.90423
[29] Dent, J.B.; Harrison, S.R.; Woodford, K.B., Farm planning with linear programming: concept and practice, (1986), Butterworths
[30] Dobbins, C.L., Preckel, P.V., Han, Y., Doster, D.H., 1992. An application of linear programming to planning crop systems. In: Proceedings of fourth International Conference on computers in Agricultural Extension Programs, January 28-31, Orlando, FL.
[31] Duffy, P.A.; Taylor, C.R., Long-term planning on a corn-Soybean farm: A dynamic programming analysis, Agricultural systems, 42, 57-71, (1993)
[32] Ekman, S., Tillage system selection: A mathematical programming model incorporating weather variability, Journal of agricultural engineering research, 77, 3, 267-276, (2000)
[33] El-Nazer, T.; McCarl, B.A., The choice of crop rotation: A modeling approach and case study, American journal of agricultural economics, 127-136, (1986)
[34] Epperson, J.E.; Estes, E.A., Fruit and vegetable supply-chain management, innovations, and competitiveness: cooperative regional research project S-222, Journal of food distribution, 30, 38-43, (1999)
[35] Fleischmann, B.; Meyr, H.; Wagner, M., Advanced planning, Supply chain management and advanced planning: concepts models, software and case studies, (2005), Springer Berlin, Germany, (Chapter 4)
[36] Ferrer, J.C.; MacCawley, A.; Maturana, S.; Toloza, S.; Vera, J., An optimization approach for scheduling wine grape harvest operations, International journal of production economics, 112, 2, 985-999, (2008)
[37] Glen, J.J., A linear programming model for an integrated crop and intensive beef production enterprise, Journal of the operational research society, 37, 5, 487-494, (1986)
[38] Glen, J.J., Mathematical-models in farm-planning – a survey, Operations research, 35, 5, 641-666, (1987)
[39] Glen, J.J.; Tipper, R., A mathematical programming model for improvement planning in a semi-subsistence farm, Agricultural systems, 70, 295-317, (2001)
[40] Gigler, J.K.; Hendrix, E.M.T.; Heesen, R.A.; van den Hazelkamp, V.G.W.; Meerdink, G., On optimization of agri chains by dynamic programming, European journal of operational research, 139, 613-625, (2002) · Zbl 0995.90048
[41] Goetschalckx, M.; Vidal, C.J.; Dogan, K., Modeling and design of global logistics systems: A review of integrated strategic and tactical models and design algorithms, European journal of operational research, 143, 1-18, (2002) · Zbl 1073.90501
[42] Goyal, S.K.; Giri, B.C., Recent trends in modeling of deteriorating inventory, European journal of operational research, 134, 1, 1-16, (2001) · Zbl 0978.90004
[43] Hamer, P.J.C., A decision support system for the provision of planting plans for Brussels sprouts, Computers and electronics in agriculture, 11, 97-115, (1994)
[44] Hardaker, J.; Pendey, S.; Patten, L., Farm planning under uncertainty: A review of alternative programming models, Review of marketing and agricultural economics, 59, 1, 9-22, (1991)
[45] Hayashi, K., Multicriteria analysis for agricultural resource management: A critical survey and future perspectives, European journal of operational research, 122, 486-500, (2000) · Zbl 0961.90041
[46] Hazell, P.B.R.; Norton, R.D., Mathematical programming for economic analysis in agriculture, (1986), Macmillan Publishing Company New York, NY
[47] Helo, P.; Szekely, B., Logistics information systems: an analysis of software solutions for supply chain co-ordination, Industrial management & data systems, 105, 5, (2005)
[48] Higgins, A.J., Optimizing cane supply decisions within a sugar mill region, Journal of scheduling, 2, 229-244, (1999) · Zbl 0956.90017
[49] Higgins, A.J., Australian sugar Mills optimize harvester roster to improve production, Interfaces, 32, 3, 15-26, (2002)
[50] Higgins, A.J.; Laredo, L.A., Improving harvesting and transport planning within a sugar value chain, Journal of the operational research society, 57, 367-376, (2006) · Zbl 1086.90534
[51] Higgins, A.J.; Muchow, R.C.; Rudd, A.V.; Ford, A.W., Optimising harvest date in sugar production: A case study for the mossman mill region in Australia, Field crops research, 57, 153-162, (1998)
[52] Higgins, A.; Thorburn, P.; Archer, A.; Jakku, E., Opportunities for value chain research in sugar industries, Agricultural systems, 94, 611-621, (2007)
[53] Higgins, A.; Antony, G.; Sandell, G.; Davies, I.; Prestwidge, D.; Andrew, B., A framework for integrating a complex harvesting and transport system for sugar production, Agricultural systems, 82, 99-115, (2004)
[54] Hobbs, J.E.; Young, L.M., Closer vertical co-ordination in agri-food supply chains: A conceptual framework and some preliminary evidence, Supply chain management, 5, 3, 131-142, (2000)
[55] Huang, Sophia W., 2004. Global Trade Patterns in Fruits and Vegetables, United States Department of Agriculture, Agriculture and Trade Report No. WRS-04-06.
[56] Itoh, T.; Hiroaki, I.; Teruaki, N., A model of crop planning under uncertainty in agricultural management, International journal of production economics, 81-82, 555-558, (2003)
[57] Jiao, Z.; Higgins, A.J.; Prestwidge, D.B., An integrated statistical and optimization approach to increasing sugar production within a mill region, Computers and electronics in agriculture, 48, 170-181, (2005)
[58] Jones, P.C.; Lowe, T.J.; Traub, R., Matching supply and demand: the value of a second chance in producing seed corn, Review of agricultural economics, 24, 1, 222-238, (2001)
[59] Jones, P.C.; Lowe, T.J.; Traub, R., Managing the seed-corn supply chain at sygenta, Interfaces, 33, 1, 80-90, (2003)
[60] Kader, A.A. (Eds.), 2001. Postharvest Technology of Horticultural Crops, University of California Division of Agriculture and Natural Resources, Publication 3311, pp. 5-30.
[61] Kaiser, H.M.; Apland, J., DSSP: A model of production and marketing decisions on a midwestern crop farm, North central journal of agricultural economics, 11, 1, 105-115, (1989)
[62] Kaiser, H.M.; Riha, S.J.; Wilks, D.S.; Rossiter, D.G.; Sampath, R., A farm-level analysis of economic and agronomic impacts of gradual climate warming, American journal of agricultural economics, 75, 387-398, (1993)
[63] Kaufman, P., Handy, C., McLaughlin, E.W., 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, August.
[64] Kazaz, B., Production planning under yield and demand uncertainty with yield-dependent cost and price, Manufacturing & service operations management, 6, 3, 209-224, (2004)
[65] Kinsey, J.D., The new food economy: consumers, farms, pharms and science, American journal of agricultural economics, 83, 5, 1113-1130, (2001)
[66] Kobzar, O.A., van Asseldonk, M.A.P.M., Huirne, R.B.M., 2005. Whole-farm planning under risk: Application of alternative risk programming techniques to support portfolio-decisions in Dutch agriculture. In: Agricultural Economics Society Annual Conference, University of Nottingham, England.
[67] Kouvelis, P.; Chambers, C.; Wang, H., Supply chain management research and production and operations management: review, trends, and opportunities, Production and operations management, 15, 3, 449-469, (2006)
[68] Lambert, D.K.; McCarl, B.A., Sequential modeling of white wheat marketing strategies, North central journal of agricultural economics, 11, 2, 157-169, (1989)
[69] Lazzari, M.; Mazzetto, F., A PC model for selecting multicropping farm machinery system, Computers and electronics in agriculture, 14, 43-59, (1996)
[70] Leutscher, K.J.; Renkema, J.A.; Challa, H., Modeling operational adaptations of tactical production plans on pot plan nurseries: A simulation approach, Agricultural systems, 59, 67-78, (1999)
[71] Lien, G.; Hardaker, J.B., Whole farm planning under uncertainty: impacts of subsidy scheme and utility function on portfolio choice in Norwegian agriculture, European review of agricultural economics, 28, 1, 17-36, (2001)
[72] Lowe, T.J.; Preckel, P.V., Decision technologies for agribusiness problems: A brief review of selected literature and a call for research, Manufacturing & service operations management, 6, 3, 201-208, (2004)
[73] Lucas, M.T.; Chhajed, D., Applications of location analysis in agriculture: A survey, Journal of the operational research society, 55, 561-578, (2004) · Zbl 1060.90678
[74] Maatman, A.; Schweigman, C.; Ruijs, A.; van der Vlerk, M.H., Modeling farmer’s response to uncertain rain fall in burkina faso: A stochastic programming approach, Operations research, 50, 3, 399-414, (2002)
[75] MacDonald, J., Perry, J., Ahearn, M., Banker, D., Chambers, W., Dimitri, C., Key, N., Nelson, K., Southard, L., 2004. Contracts, Markets, and Prices: Organizing the Production and Use of Agricultural Commodities, United States. Department of Agriculture, Economic Research Service, Agricultural Economic Report No. 837.
[76] Marcelis, L.F.M.; Heuvelink, E.; Goudriaan, J., Modelling biomass production and yield of horticultural crops: A review, Scientia horticultusrae, 74, 83-111, (1998)
[77] McCarl, B.A.; Nuthall, P., Linear-programming for repeated use in the analysis of agricultural systems, Agricultural systems, 8, 1, 17-39, (1982)
[78] McLaughlin, E.W., Green, G.M., Park, K., 1999. Changing Distribution Patterns in the US Fresh Produce Industry: Mid/Late-70s to Mid/Late-90s, Department of Agricultural, Resource, and Managerial Economics, Cornell University, Ithaca, NY 14853, June.
[79] Meixell, M.J.; Gargeya, V.B., Global supply chain design: A literature review and critique, Transportation research part E, 41, 531-550, (2005)
[80] Miller, W.A.; Leung, L.C.; Azhar, T.M.; Sargent, S., Production planning for fresh tomato packing, International journal of production economics, 53, 227-238, (1997)
[81] Min, H.; Zhou, G., Supply chain modeling: past, present and future, Computers & industrial engineering, 43, 231-249, (2002)
[82] Nanseki, T.; Morooka, Y., Risk preference and optimal crop combinations in upland Java, Indonesia: an application of stochastic programming, Agricultural economics, 5, 39-58, (1991)
[83] Nevo, A.; Oad, R.; Podmore, T., An integrated expert system for optimal crop planning, Agricultural systems, 45, 73-92, (1994)
[84] Perosio, D.J.; McLaughlin, E.W.; Cuellar, S.; Park, K., Supply chain management in the produce industry, Produce marketing association, newark, delaware, 22-32, (2001)
[85] Perry, G.M.; McCarl, B.A.; Rister, M.E.; Richardson, J.W., Modeling government program participation decisions at the farm level, American journal of agricultural economics, 71, 4, 1011-1020, (1989)
[86] Porteus, E.L., Case analysis: analyses of the national cranberry cooperative - 1. tactical options, Interfaces, 23, 4, 21-39, (1993)
[87] Porteus, E.L., Case analysis: analyses of the national cranberry cooperative - 2. environmental changes and implementation, Interfaces, 23, 6, 81-92, (1993)
[88] Purcell, D.L.; Turner, S.C.; Houston, J.; Hall, C., A portfolio approach to landscape plant production and marketing, Journal of agriculture and applied economics, 25, 2, 13-26, (1993)
[89] Raju, K.S.; Kumar, D.N., Multicriterion decision-making in irrigation planning, Agricultural systems, 62, 117-129, (1999)
[90] Rantala, J., Optimizing the supply chain strategy of a multi-unit finish nursery, Silva fennica, 38, 2, 203-215, (2004)
[91] Reardon, T.; Barret, C.B., Agroindustrialization, globalization, and international development: an overview of issues, patterns, and determinants, Agricultural economics, 23, 195-205, (2000)
[92] Recio, B.; Rubio, F.; Criado, J.A., A decision support system for farm planning using agrisupport II, Decision support systems, 36, 2, 189-203, (2003)
[93] Romero, C., Risk programming for agricultural resource allocation, Annals of operation research, 94, 57-68, (2000) · Zbl 0960.90045
[94] Saedt, A.P.H.; Hendriks, T.H.B.; Smits, F.M., A transition planning method applied in a decision support system for pot-plant nurseries, European journal of operations research, 52, 142-154, (1991)
[95] Salin, V., Information technology in agri-food supply chains, International food and agribusiness management review, 1, 3, 329-334, (1998)
[96] Sarmiento, A.M.; Nagi, R., A review of integrated analysis of production – distribution systems, IIE transactions, 31, 1061-1074, (1999)
[97] Schilizzi, S.G.M.; Kingwell, R.S., Effects of climatic and price uncertainty on the value of legume crops in a Mediterranean-type environment, Agricultural systems, 60, 55-69, (1999)
[98] Schepers, H.; van Kooten, O., Profitability of ‘ready-to-eat’ strategies: towards model assisted negotiation in a fresh-produce chain, Quantifying the agri-food supply chain, (2006), Springer Netherlands, (Chapter 9)
[99] Simchi-Levi, D., Designing and managing the supply chain: concepts, strategies, and case studies, (2003), McGraw-Hill New York, NY
[100] Stadler, H., Supply chain management and advanced planning-basics, overview and challenges, European journal of operational research, 163, 575-588, (2005) · Zbl 1071.90006
[101] Stadler, H.; Kilger, C., Supply chain management and advanced planning: concepts models, software and case studies, (2005), Springer Berlin, Germany
[102] Stoecker, A.L.; Seidmann, A.; Lloyd, G.S., A linear dynamic programming approach to irrigation system management with depleting groundwater, Management science, 31, 4, 422, (1985)
[103] Stokes, J.; Mjelde, J.; Hall, C., Optimal marketing of nursery crops from container-based production systems, American journal of agricultural economics, 79, 235-245, (1997)
[104] Sumanatra, J.; Ramirez, J.A., Optimal stochastic multi-crop seasonal and intraseasonal irrigation control, Journal of water resources planning and management, 123, 1, 39-48, (1997)
[105] Tan, L.P.; Fong, C.O., Determination of the crop mix of a rubber and oil palm plantation – a programming approach, European journal of operations research, 34, 362-371, (1988)
[106] ()
[107] Thomas, D.J.; Griffin, P.M., Coordinated supply chain management, European journal of operations research, 94, 1-15, (1996) · Zbl 0929.90004
[108] Tijskens, L.M.M.; Polderdijk, J.J., A generic model for keeping quality of vegetable produce during storage and distribution, Agricultural systems, 51, 4, 431-452, (1996)
[109] Torkamani, J.; Hardaker, J.B., A study of economic efficiency of Iranian farmers in ramjerd district: an application of stochastic programming, Agricultural economics, 14, 73-83, (1996)
[110] Torkamani, J., Using whole-farm modeling approach to assess prospective technologies under uncertainty, Agricultural systems, 138-154, (2005)
[111] Turvey, C.G.; Driver, H.C.; Baker, T.G., Systematic and nonsystematic risk in farm portfolio selection, American journal agricultural economics, 70, 4, 831-835, (1988)
[112] Turvey, C.G.; Baker, T.G., A farm-level financial analysis of farmer’s use of futures and options under alternative farm programs, American journal of agricultural economics, 946-957, (1990)
[113] United States Department of Agriculture (USDA), 2007. Fruits and Vegetables (farm weight): Per Capita Availability, 1970-2005, http://www.ers.usda.gov/Data/FoodConsumption/spreadsheets/fruitveg.xls.
[114] van Berlo, M. Jules, A decision support tool for the vegetable processing industry; an integrative approach of market, industry and agriculture, Agricultural systems, 43, 91-109, (1993)
[115] van der Vorst, J.G.A.J., Product traceability in food-supply chains, Acreditation and quality assurance, 11, 33-37, (2006)
[116] van Ittersum, M.K.; Leffelaar, P.A.; van Keulen, H.; Kropff, M.J.; Bastiaans, L.; Goudriaan, J., On approaches and applications of the wageningen crop models, European journal of agronomy, 18, 201-234, (2003)
[117] Vidal, C.J.; Goetschalckx, M., Strategic production – distribution models: A critical review with emphasis on global supply chain models, European journal of operational research, 98, 1-18, (1997) · Zbl 0922.90062
[118] Visagie, S.E.; de Kock, H.C.; Ghebretsadik, A.H., Optimising an integrated crop-livestock farm using risk programming, Operations research society of south africa, 20, 1, 29-54, (2004)
[119] Vitoriano, B.; Ortuño, M.T.; Recio, B.; Rubio, F.; Alonso-Ayuso, A., Two alternative models for farm management: discrete versus continuous time horizon, European journal of operational research, 114, 613-628, (2003) · Zbl 1012.90014
[120] Widodo, K.H.; Nagasawa, H.; Morizawa, K.; Ota, M., A periodical flowering-harvesting model for delivering agricultural fresh products, European journal of operational research, 170, 24-43, (2006) · Zbl 1079.90575
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.