In this
paper, a fish farm was modeled using the Lexicographic linear goal programming
approach due to incommensurability in objectives. The study considered the fish
farming plan with two sizes of catfish from stocking to harvesting at
four-month intervals. The multi-objective goals developed are required raw
materials feed, water, light (resource utilization), sales revenue, profit
realized, labor utilization, production costs, and pond utilization. The
developed model was tested using related data collected from the farm records
with the use of TORA 2007 software. The compromised solution from the results
showed that the developed model is an efficient tool for decision-making
process in the fish farm business organization.
References
[1]
Sophia, R. and Irine, J. (2018) Multi-Objective Linear Programming Model for Small-Scalefish Farmers in Polyculture Fish Farming. International Journal of Pure and Applied Mathematics, 119, 361-369.
[2]
Sadiq, M.S., Singh, I.P. and Kolo, M.D. (2015) Resource Optimization in Small-Scalefish Farming in Minna Agricultural Zone of Niger State, Nigeria. International Journal of Innovative Research and Development, 4, 123-128.
[3]
Niang, T. and Jubrin, S. (2001) Fish Farming in the Tropics: A Functional Approach. Quarterly Newsletter of the Nigeria Agriculture Question and Answer Service, 1, 1-7.
[4]
Anene, A. (2004) Issues on Sustainable Fish Production in Nigeria. In: Anene, A. and Nwaigbo, L.C., Eds., Issues in Sustainable Agriculture in Nigeria, Osprey Publishers, Owerri, 141-149.
[5]
Ugwumba, C.O.A. and Chukwuji, C.O. (2010) The Economics of Catfish Production in Anambra State, Nigeria: A Profit Function Approach. Journal of Agriculture and Social Sciences, 6, 105-109.
[6]
Rohman, F., Singgih, M.L. and Ciptomulyon, U. (2020) Goal Programming Model for Optimizing the Management of Brackish Water Milkfish Ponds in Gresik. The 6th International Seminar on Science and Technology, 526-532. https://doi.org/10.12962/j23546026.y2020i6.11154
[7]
Charmes, A. and Cooper, W.W. (1961) Management Models and Industrial Application of Linear Programming. Vol. 1, Wiley, New York.
[8]
Lee, S.M. (1972) Goal Programming for Decision Analysis. Auerbach, Philadelphia Mathematics, 119, 361-369.
[9]
Ignizio, J.P. (1976) Goal Programming and Extensions. Lexington Books, Lexington.
[10]
Orumie, U.C. and Ebong, D.W. (2014) A Glorious Literature on Linear Goal Programming Algorithms. American Journal of Operations Research, 4, 59-71. https://doi.org/10.4236/ajor.2014.42007
[11]
Orumie, U.C. and Ebong, D.W. (2013) An Efficient Method of Solving Lexicographic Linear Goal Programming Problem. International Journal of Scientific and Research Publications, 3, 1-8.
[12]
Arthur, J.L. and Ravindran, A. (1978) An Efficient Goal Programming Algorithm Using Constraint Partitioning and Variable Elimination. Management Science, 24, 867-886. https://doi.org/10.1287/mnsc.24.8.867
[13]
Charnes, A. and Cooper, W.W. (1977) Goal Programming and Multi-Objective Optimization. European Journal of Operational Research, 1, 39-54. https://doi.org/10.1016/S0377-2217(77)81007-2
[14]
Ignizio, J.P. (1985) An Algorithm for Solving the Linear Goal-Programming Problem by Solving Its Dual. Journal of operational Research Society, 36, 507-515. https://doi.org/10.2307/2582823
[15]
Romero, C. (1991) Handbook of Critical Issues in Goal Programming. Pergamon Press, Oxford.
[16]
Tamiz, M., Jones, D.F. and El-Darzin, E. (1995) A Review of Goal Programming and Its Applications. Annals of Operation Research, 58, 39-53. https://doi.org/10.1007/BF02032309
[17]
Schniederjans, M.J. (1984) A Glorious Literature on Linear Goal Programming Algorithms. American Journal of Operations Research, 4, 59-71. https://doi.org/10.4236/ajor.2014.42007