A Mathematical Model for Unequal Area Stochastic Dynamic Facility Layout Problems

The present research formulates unequal area stochastic dynamic facility layout problems for minimizing the total cost of material handling while considering their upper bound. In the proposed model, the area and shape of departments are considered to be stable during the implementation of an algorithm, and product demands are normally distributed with a known expected value and variance. Since these problems are NP-hard, thus particle swarm optimization (PSO) was employed, and a theoretical problem instance was presented to evaluate the efficiency and effectiveness of the algorithm. The findings confirmed the efficiency and validity of the proposed algorithm.