期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 218, 期 2, 页码 382-391出版社
ELSEVIER
DOI: 10.1016/j.ejor.2011.10.052
关键词
Facilities planning and design; Simulated annealing; Graph-pair representation; Heuristics; Integer programming
资金
- National Science Council of Taiwan [97-2218-E-008-015]
Owing to its theoretical as well as practical significance, the facility layout problem with unequal-area departments has been studied for several decades, with a wide range of heuristic and a few exact solution procedures developed by numerous researchers. In one of the exact procedures, the facility layout problem is formulated as a mixed-integer programming (MIP) model in which binary (0/1) variables are used to prevent departments from overlapping with one another. Obtaining an optimal solution to the MIP model is difficult, and currently only problems with a limited number of departments can be solved to optimality. Motivated by this situation, we developed a heuristic procedure which uses a graph pair to determine and manipulate the relative location of the departments in the layout. The graph-pair representation technique essentially eliminates the binary variables in the MIP model, which allows the heuristic to solve a large number of linear programming models to construct and improve the layout in a comparatively short period of time. The search procedure to improve the layout is driven by a simulated annealing algorithm. The effectiveness of the proposed graph-pair heuristic is demonstrated by comparing the results with those reported in recent papers. Possible extensions to the graph-pair representation technique are discussed at the end of the paper. (C) 2011 Elsevier B.V. All rights reserved.
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