Abstract
A new method is presented for optimization of facility layout. The pedestrian flow is modeled by using Markov chains, where the distribution of existence probability in the stationary state is calculated by solving an eigenvalue problem. In the proposed method, the pedestrian distribution in the path between every pair of the facilities is first considered, and the large generator matrix is condensed to a small one before carrying out the eigenvalue analysis to find the stationary state. A genetic algorithm (GA) is used for optimization, and a hybrid GA is presented for simultaneously optimizing the assignment and the locations of the facilities. In the examples, characteristics of the distribution of the utilities of the facitilies are discussed.
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