Comparing of Utilizing “Theory of Constraints” Versus “Fuzzy Linear Programming” in Fuzzy Product-Mix Problems

In the recent years, theory of constraints (TOC) has emerged as an effective management philosophy for solving product mix problem with the aim of profit maximization by considering the bottleneck. Furthermore, Fuzzy set theory has been used to model systems that are hard to define precisely and represents an attractive tool to aid research in production management when the dynamics of the production environment limit the specification of model objectives, constraints and the precise measurement of model parameters. In this research, an algorithm based TOC is proposed for product mix problem with bottleneck(s) and fuzzy processing time and fuzzy capacity. The efficiency of this algorithm compared with Fuzzy Linear Programming(FLP), TOC heuristic, Revised-TOC(RTOC), Hybrid Tabu-SA, genetic algorithm, and tabu search through three illustrative examples but in this comparison, we focused on FLP. The results have shown inefficiency of TOC in fuzzy state.

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