Multi-objective Optimization for Logistic Distribution and Its Genetic Algorithm

A multi-objective optimization model for logistic distribution with common due date is presented with consideration of three-echelon distribution network,including customers,distribution centers and a mail post center as well as penalties to be incurred when items are delayed for any reason.Two objectives are considered,one is minimizing the total cost which consists of loading/unloading cost,delivering cost,handling cost and penalty cost,the other is balancing the workload at each distribution center.A genetic algorithm is designed to pursue the optimal results,in which the chromosome contains two parts to represent the selection decisions for distribution centers and transportation modes respectively and adaptive crossover rate and mutation rate are adopted for avoiding from local optima.Numerical experiments have been conducted finally to demonstrate the effectiveness of the algorithm.