Supply Chain for Perishable Agriculture Products by Possibilistic Linear Programming

Abstract

This paper proposes mathematical programming models for supply chain of perishable products using Possibilistic Linear Programming (PLP) and Preemptive Possibilistic Linear Programming (PPLP) models. The possible ranges of unit price and unit costs were used to increase flexibility of obtaining the better supply chain imprecise information. Three crisp objective functions were generated, which are maximizing the most possible value of profit, minimizing the risk of obtaining the lower profit and maximizing the opportunity of obtaining the higher profit. The objective functions of the presented model looked for the maximum total profit with low risk in getting the lower profit and higher opportunity to get the better profit. Product shelf-life, time of all processes and quantity of products were determined. The numerical experiment was illustrated for an aromatic coconut supply chain. PPLP model is easier to select the preferred solution than PLP model. These models can find the effective solution for the problem.