The multi-objective facility layout problem is defined in the literature as an extension of the famous quadratic assignment problem (QAP). Most previous mathematical models tried to combine both the quantitative and the qualitative objectives into a single objective by using weighting factors. This paper introduces a multi-objective mathematical model and solves it using the revised Strength Pareto Evolutionary Algorithm (SPEAII). The purpose of this paper is to find an efficient set of solutions “Pareto optimal set” which could be introduced to the decision maker to select the best alternative, while considering conflicting and noncommensurate objectives. A computer program is developed to define the mathematical model, code candidate solutions into genetic form, and use Evolutionary Multi-Objective Optimization algorithms (EMO) to find the efficient set of solutions. The problem model is built according to its customized data input. The suggested model and solution algorithms are applied to a wide set of different benchmark problems. Results showed the superiority of the suggested models and algorithms in terms of the quality of solution and objective space exploration.
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ASME 2006 International Manufacturing Science and Engineering Conference
October 8–11, 2006
Ypsilanti, Michigan, USA
Conference Sponsors:
- Manufacturing Engineering Division
ISBN:
0-7918-4762-4
PROCEEDINGS PAPER
Solving the Multi-Objective Facility Layout Problem Using Evolutionary Multi-Objective Optimization Algorithms Available to Purchase
Mohamed A. Ismail,
Mohamed A. Ismail
University of Windsor, Windsor, ON, Canada
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Attia H. Gomaa,
Attia H. Gomaa
Cairo University of Fayoum, Cairo, Egypt
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Ashraf O. Nassef
Ashraf O. Nassef
American University in Cairo, Cairo, Egypt
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Mohamed A. Ismail
University of Windsor, Windsor, ON, Canada
Attia H. Gomaa
Cairo University of Fayoum, Cairo, Egypt
Ashraf O. Nassef
American University in Cairo, Cairo, Egypt
Paper No:
MSEC2006-21067, pp. 547-555; 9 pages
Published Online:
October 2, 2008
Citation
Ismail, MA, Gomaa, AH, & Nassef, AO. "Solving the Multi-Objective Facility Layout Problem Using Evolutionary Multi-Objective Optimization Algorithms." Proceedings of the ASME 2006 International Manufacturing Science and Engineering Conference. Manufacturing Science and Engineering, Parts A and B. Ypsilanti, Michigan, USA. October 8–11, 2006. pp. 547-555. ASME. https://doi.org/10.1115/MSEC2006-21067
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