考虑补货周期偏移的最优库存控制双层规划

研究了物流系统中多产品共用仓库的存贮策略.假设库存系统的平均总费用包括每次订货的固定订购费、产品所需仓库空间决定的固定存贮费,以及实际存贮产品数量决定的可变存贮费.通过多产品补货周期的相对偏移节省存贮空间和费用.最优库存控制双层规划模型中,以库存系统的平均总费用最小为上层目标,以库存系统所需的仓库空间最小为下层目标,上下层模型的决策变量分别为补货周期和补货周期的偏移量.设计了求解该模型的粒子群优化算法,求得最优补货周期和补货周期偏移量.用算例验证了模型和算法的有效性.

Bi-level Programming for Optimal Inventory Control with Offsetting Replenishment Cycles

The inventory strategy for multiple products sharing a warehouse in a logistics system was studied.The hypotheses were that the mean total inventory cost consisted of constant ordering cost per order,fixed cost determined by the required warehouse space and variable cost determined by the stored product quantity.The offsets for replenishment cycles of multiple products were used to reduce warehouse space and the relevant cost.The upper and lower programming models are to minimize the mean total inventory cost and necessary inventory spaces,respectively;and their decision variables are the replenishment cycles and the offsets for replenishment cycles,respectively.A particle swarm optimization algorithm was designed to solve the model and calculate the optimal replenishment cycles and offsets.The effectiveness of the model and its algorithm were illustrated with a numerical example.