Enhanced Model Formulations for Optimal Facility Layout
Operations Research
An ε-accurate model for optimal unequal-area block layout design
Computers and Operations Research
Applying the sequence-pair representation to optimal facility layout designs
Operations Research Letters
A new mixed integer programming formulation for facility layout design using flexible bays
Operations Research Letters
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The facility layout problem is typically solved in what is referred to as a ''top-down approach'' of block layout design followed by detailed layout determination. However, a number of research efforts recently have challenged this approach, producing a reformulated bottom-up approach to the facility layout problem. In this paper we consider the bottom-up approach, applying a tighter formulation than prior efforts and investigating the solvability limits of the new model. Empirical testing of the new bottom-up layout model indicates that although this model produces more usable output, as judged by industry experts, it is approximately three times harder to solve. Valid inequalities and special cases are identified to help improve the formulation's solvability.