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Modeling and analysis of the facility layout problem

Kirkizoğlu, Zeynep
The facilities layout problem, which is an integral part of facilities design, aims to spatially locate the production units within a facility subject to some design criteria and area limitations, with one or multiple objectives. In this study, the layout problem is reviewed in detail, with an emphasis on the dynamic environment it operates in. Despite the fact that layouts within the context of changing manufacturing requirements represent the problem better, the single period block layout problem is observed to have remained worth analyzing. In this thesis, a hybrid model that combines the strong aspects of the available models in the literature is constructed for the single period block layout problem. The LP relaxation of this model and the effect of adding valid inequalities to the model are studied. A rounding heuristic based on the LP relaxation of the problem is proposed and computational experimentation is made. Also, an evolutionary algorithm scheme that uses the sequence pair representation is proposed. Three mutation operators are developed to be used in this scheme. Preliminary test are made for implementations of these operators and results are given.