An AHP-based decision-making tool for the solution of multiproduct batch plant design problem under imprecise demand

• Published in: Computers & operations research 2009-03, Vol.36 (3), p.711-736
• Main Authors: Aguilar-Lasserre, Alberto A., Bautista Bautista, Marco A., Ponsich, Antonin, González Huerta, Magno A.
• Format: Article
• Language: English
• Subjects: Analytic hierarchy process (AHP); Applied sciences; Assembly lines; Batch plant design; Decision making; Decision support systems; Decision theory. Utility theory; Design optimization; Exact sciences and technology; Fuzzy arithmetic; Fuzzy logic; Genetic Algorithm; Genetic algorithms; Hierarchies; Mathematical programming; Multi-objective optimization; Multiple criteria decision making; Operational research and scientific management; Operational research. Management science; Studies
• ISSN: 0305-0548; 1873-765X; 0305-0548
• DOI: 10.1016/j.cor.2007.10.029

This paper addresses the problem of the optimal design of batch plants with imprecise demands in product amounts. The design of such plants necessarily involves the way that equipment may be utilized, which means that plant scheduling and production must form an integral part of the design problem. This work relies on a previous study, which proposed an alternative treatment of the imprecision (demands) by introducing fuzzy concepts, embedded in a multi-objective Genetic Algorithm (GA) that takes into account simultaneously maximization of the net present value ( NPV) and two other performance criteria, i.e. the production delay/advance and a flexibility criterion. The results showed that an additional interpretation step might be necessary to help the managers choosing among the non-dominated solutions provided by the GA. The analytic hierarchy process (AHP) is a strategy commonly used in Operations Research for the solution of this kind of multicriteria decision problems, allowing the apprehension of manager subjective judgments. The major aim of this study is thus to propose a software integrating the AHP theory for the analysis of the GA Pareto-optimal solutions, as an alternative decision-support tool for the batch plant design problem solution.