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Modeling of Catfish Farm Using Lexicographic Linear Goal Programming
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
Department of Statistics, Federal University of Technology Owerri, Owerri, Nigeria
- 1 Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
- 2 Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
- 3 Department of Statistics, Federal University of Technology Owerri, Owerri, Nigeria
American Journal of Operations Research·Volume 12 (2022)·Pages 94–110·Published 29 April 2022·DOI10.4236/ajor.2022.123006
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Abstract
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.
KeywordsGoal ProgrammingIncommensurabilityLexicographicMulti-ObjectiveCompromised Solution
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