Linear Programming Approach to Diet Problem for Black Tiger Shrimp in Shrimp Aquaculture

Abstract

In this paper, we examine effect of dietary protein quality on the black tiger shrimp (Penaeus monodon fabricius) and how food consumption and diet quality can affect the shrimp growth and survival. This model can predict population of the shrimp under shrimp aquaculture conditions. Simple models for describing and predicting growth and feed requirement of black tiger shrimp under shrimp aquaculture conditions are presented. The main idea of this research is to predict decision making process for the aquaculture bioinformatics using proposed models. We present and disseminate the linear programming method, in order to attain optimized solutions of shrimp aquaculture problems involving economics and nutrition. First, we present the formulation of a diet at minimum cost using three different formulated feeds. Second we describe maximum growth rate of the shrimp and later, we present maximum survival rate of shrimp under various kinds of formulated shrimp feeds. In a world with increasingly scarce resources and every day more competitive, linear programming could be used to search optimized solutions for aquaculture problems.

A Mixed Integer Programming Poultry Feed Ration Optimisation Problem Using the Bat Algorithm

“…Vast literature exists that deals with the formulation of feed ration and modelling of these formulations. Several mathematical tools have been used to solve feed ration formulation problems such as Pearson's Square method [4], goal programming (GP) [5][6][7], multiobjective goal programming (MOP) [8], multiobjective fractional programming (MOFP) [9], nonlinear programming (NLP) [10], chance constrained programming (CCP) [11,12], quadratic programming (QP) [13], risk formulation (RF) [14], and linear programming (LP) [15][16][17][18].…”