Optimizing Production Mix Involving Linear Programming with Fuzzy Resources and Fuzzy Constraints

Abstract

In this paper, Fuzzy Linear Programming (FLP) was used to model the production processes at a university-based bakery for optimal decisions in the daily productions of the bakery. Using the production data of five products from the bakery, a fuzzy linear programme was developed to help make decisions when fuzzy resources were involved. As usual, classical linear programme gave only one feasible solution. However, while it was established that solving the linear programme from the production mix when fuzzy constraints were introduced (Verdegay's model) gave a more robust and alternative set of decisions than the classical model, it was equally established that a better result could be obtained when all the constraints and the objective function were fuzzy (Werners' Model).

Keywords

• Fuzzy resources
• Fuzzy constraints
• Fuzzy objective function
• Fuzzy optimization