許多零售商發現提升的存貨量不只是改善服務水準而且還會刺激需求。市場學家也認定很多產品的需求會和零售商所陳列的產品數量成比例。 針對需求率會隨存貨量增加的產品，在有限規劃週期內，分別考慮在不允許缺貨、完全缺貨待補、部分缺貨待補且待補率與等待補貨時間相關的三種情況，提出需求與存貨相依下損耗性產品之存貨系統；且過去文獻較常忽略的購買成本會隨時間和數量變化的影響，本研究將此影響納入考慮，建構出零售商的成本函數。 藉由數學軟體Mathematica 5.2的幫助，找出零售商最佳的補貨次數、最佳短缺的時間點以及每週期的訂購數量，達到零售商成本極小化的目標。 In some retail contexts, stocking large quantities of inventory may not only improve service levels, but can also stimulate demand. Marketing researchers also recognize the demand of many retail items is proportional to the amount of inventory displayed. For products having demand rates that increase with inventory levels, we present an inventory model for deteriorating items with stock-dependent demand over a finite planning horizon. In addition, we also incorporate the effect of quantity discount and time factor of purchase cost while inventory decision making. No backorders, complete backlogged and partial backlogging are considered in the model; and further, the backlogging rate is variable and dependent on the waiting time for the next replenishment. We shall be concerned with finding the optimal number of replenishments and service rate to minimize the total relevant costs. Numerical examples are displayed to illustrate the proposed models and sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.
