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A goal programming approach for farm planning with resources dimensionality

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  • M. Ortuño
  • B. Vitoriano

Abstract

Crop production entails many decision making processes aimed at improving productivity and achieving the best yield from scarce resources, which are normally limited. Assuming that there is a certain technical path of tasks to be carried out within a period, and that each task can be done in different ways, the problem addressed in this paper consists of choosing how and when to carry out each one, in such a way that the tasks are scheduled in sequence at the lowest possible cost, taking account of any relations of precedence among them, and in such a way that each task is done within its time window and with the resources being assigned in a feasible way. Time windows are usually defined in a strict way, and thus, if adjusted, can be a cause of infeasibility for some of the problems, implying the need to acquire new resources. Nevertheless, in most cases small deviations from time windows could be acceptable. In this paper a mixed 0-1 programming model to attain the proposed objective is proposed, applying goal programming to model time windows in a more flexible way. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • M. Ortuño & B. Vitoriano, 2011. "A goal programming approach for farm planning with resources dimensionality," Annals of Operations Research, Springer, vol. 190(1), pages 181-199, October.
  • Handle: RePEc:spr:annopr:v:190:y:2011:i:1:p:181-199:10.1007/s10479-009-0524-5
    DOI: 10.1007/s10479-009-0524-5
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    References listed on IDEAS

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    1. Kvanli, Alan H, 1980. "Financial planning using goal programming," Omega, Elsevier, vol. 8(2), pages 207-218.
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    6. Vitoriano, B. & Ortuno, M. T. & Recio, B. & Rubio, F. & Alonso-Ayuso, A., 2003. "Two alternative models for farm management: Discrete versus continuous time horizon," European Journal of Operational Research, Elsevier, vol. 144(3), pages 613-628, February.
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    1. Kate, Joeri ten & Teunter, Ruud & Kusumastuti, Ratih Dyah & van Donk, Dirk Pieter, 2017. "Bio-diesel production using mobile processing units: A case in Indonesia," Agricultural Systems, Elsevier, vol. 152(C), pages 121-130.
    2. Jaka ZGAJNAR & Stane KAVCIC, 2016. "Optimal allocation of production resources under uncertainty: Application of the muliticriteria approach," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 62(12), pages 556-565.
    3. Shiwei Yu & Shuwen Zhang & Lawrence Agbemabiese & Fukun Zhang, 2017. "Multi-stage goal programming models for production optimization in the middle and later periods of oilfield development," Annals of Operations Research, Springer, vol. 255(1), pages 421-437, August.
    4. Kusumastuti, Ratih Dyah & Donk, Dirk Pieter van & Teunter, Ruud, 2016. "Crop-related harvesting and processing planning: a review," International Journal of Production Economics, Elsevier, vol. 174(C), pages 76-92.
    5. Şeyda Gür & Tamer Eren, 2018. "Scheduling and Planning in Service Systems with Goal Programming: Literature Review," Mathematics, MDPI, vol. 6(11), pages 1-16, November.

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