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Optimal stocking and harvesting of size-structured farmed fish: A multi-period linear programming approach

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  • Forsberg, Odd Inge

Abstract

In this paper, a new approach to the production planning problem in fish farms is developed. Production planning problems include: the determination of the optimal number of fry to transfer into the grow-out system, the estimation of population growth and production costs, and the determination of the optimal harvesting schedule in order to maximise profits from the operation. Fish growth has been modelled as a series of transitions through different size-classes. The probability of an individual belonging to a certain size-class at a given future time can then be estimated. Both the growth model and the minimum feed requirements of fish can be determined as linear functions of fish growth. A multi-period linear programming model was then developed to optimise the number of fry and number of harvested individuals from various size-classes, that maximises the net present value of the fish stock.

Suggested Citation

  • Forsberg, Odd Inge, 1996. "Optimal stocking and harvesting of size-structured farmed fish: A multi-period linear programming approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(2), pages 299-305.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:2:p:299-305
    DOI: 10.1016/0378-4754(95)00132-8
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    References listed on IDEAS

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    1. PingSun Leung & Hochman, Eithan & Rowland, Lawrence W. & Wyban, James A., 1990. "Modeling shrimp production and harvesting schedules," Agricultural Systems, Elsevier, vol. 32(3), pages 233-249.
    2. Leung, PingSun & Shang, Yung C., 1989. "Modeling prawn production management system: A dynamic Markov decision approach," Agricultural Systems, Elsevier, vol. 29(1), pages 5-20.
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    Cited by:

    1. Peng-Sheng YOU & Yi-Chih HSIEH, 2018. "A study of production and harvesting planning for the chicken industry," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 64(7), pages 316-327.
    2. Hary, I., 2004. "Derivation of steady state herd productivity using stage-structured population models and mathematical programming," Agricultural Systems, Elsevier, vol. 81(2), pages 133-152, August.
    3. Yu, Run & Leung, PingSun, 2005. "Optimal harvesting strategies for a multi-cycle and multi-pond shrimp operation: A practical network model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(4), pages 339-354.
    4. Yu, Run & Leung, PingSun, 2009. "Optimal harvest time in continuous aquacultural production: The case of nonhomogeneous production cycles," International Journal of Production Economics, Elsevier, vol. 117(2), pages 267-270, February.

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