连锁营销的分销系统双层库存优化控制模型

研究了每一补货间隔内需求为服从某一概率分布的随机变量的各零售商集体和一个地区分销中心组成的地区分销系统.分销系统中各零售商可独立决定自身的最优补到水平,补货周期是确定值;分销中心巡回给各零售商送货,循环周期是固定的,且各零售商的补货周期等于分销中心送货循环周期.针对在补货间隔内零售商需求为某一区间内的均匀分布和某一泊松分布两种情况,假定零售商的顾客需求是均匀发生的,给出了零售商补到水平最优控制策略和分销中心库存控制策略.最后通过一个算例验证了模型的有效性.

Optimal Control Model to Linked-Together Selling with Bilevel Inventory in Regional Distribution System

Studies a regional distribution system composed of a distribution center and multiple retailers among whom each plans its own demand in a fixed replenishment interval as a random variable obeying a certain probability distribution and is able to determine independently its optimal replenish-up-to level.In such a case the distribution center shall replenish the retailer's inventories circularly and periodically,and its fixed period is the same to the fixed replenishment interval as the retailers planned.Either the uniform distribution or Poisson distribution is taken into account for retailers'demand in a certain replenishment interval,and the retailer's customer demand is assumed to take place evenly.The control policies are thus schemed out to both retailer's optimal replenish-up-to level and distribution center's inventory.Finally,the effectiveness of the model is illustrated with a practical example.