Sensitivity Analysis for Fuzzy Linear Programming Problem by Mehar Method

Abstract

Numerous manufacturing companies face significant financial setbacks due to excessive raw material costs, low profits, and no taxes on imported goods. The production companies also suffer from uncertainty concerning expenses, production levels, sales figures, and the accessibility of raw materials. Therefore, in our study, we developed an innovative method to design a fuzzy linear programming model customised for the Doura Refinery of the Middle Refineries Company. We emphasised five essential products: white oil, naphtha, light puffs, heavy Jet, and liquid gas. The main goal of our approach was to achieve optimal decision-making by identifying the most favourable production quantities and evaluating the corresponding net income derived from product sales. Following the Mehar method, we employed a methodology that converts the fuzzy linear programming problem into a standard linear programming problem. Subsequently, we conducted a sensitivity analysis, focusing only on the impact of fuzzy cost changes, and successfully derived optimal solutions for this case. Therefore, we aim to resolve the challenges of fuzzy linear programming and explore how