两类存货影响销售率的两货栈库存模型的比较

Comparison of two-warehouse inventory models for single product under stock-dependent selling rate

在两货栈的库存环境下,考虑销售率受瞬时库存水平的影响,不允许缺货,分别就线性形式的需求和幂函教形式的需求建立了以平均总利润最大为目标的库存模型,证明了所建模型最优库存策略的存在性和唯一性,并给出了求解模型的有效方法.数值分析结果表明:当自有货栈容量及存货影响销售参数均处于较低水平时,自有货栈容量的变化对两模型的最优平均总利润影响均较小,但相比模型1,自有货栈容量对模型2中租用货栈的订货量影响较小,稳定性更好;当自有货栈容量及存货影响销售参数均处于较高水平时,自有货栈容量的变化对模型1的影响更小,并有较好的适用性.

In this paper, two-warehouse inventory problems are investigated for single product with two differ- ent forms of stock-dependent selling rate, which are linear function of current stock level and power function of stock level. Shortages are not allowed. Inventory models with the goal of maximizing the total average profit are developed, the existence and uniqueness of the proposed models＇ optimal replenishment policies are showed, and then simply solution procedures for the proposed models＇ optimal strategies are given. Numerical analysis results are listed as follows： when the own warehouse capacity and the stock sensitive demand param- eter are at low level, the effects of the own warehouse capacity on the two inventory optimal average profits are very slight significant, but as compared to the first model, the changes of the own warehouse capacity has less affected on rented warehouse order quantity of the second model; when the own warehouse capacity and the stock sensitive demand parameter are at high level, robustness of the first model is better than the second model.