Author(s)

Ukamaka Cynthia Orumie¹, Egenti Francis Nzerem¹, Chekwube Bartholomew Desmond^2*

¹Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
²Department of Statistics, Federal University of Technology Owerri, Owerri, Nigeria.

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.

Goal Programming, Incommensurability, Lexicographic, Multi-Objective, Compromised Solution

Orumie, U. , Nzerem, E. and Desmond, C. (2022) Modeling of Catfish Farm Using Lexicographic Linear Goal Programming. American Journal of Operations Research, 12, 94-110. doi: 10.4236/ajor.2022.123006.