连锁营销的分销系统双层补货优化控制模型

Optimal Control Model of Bilevel Replenishment for Distribution System in Network Marketing

研究了由在每一补货间隔内需求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.考虑了分销系统中各零售商可独立决定所经营卖场的最优补到水平,补货周期是确定值;分销中心循环给各零售商送货,送货周期是固定的,且各零售商的补货周期等于分销中心送货周期.针对在补货间隔内零售商需求为某一区间内的均匀分布情况,假定需求是均匀发生的,通过成本优化,给出了零售商补到水平优化控制策略和分销中心进货控制策略.最后给出了一个算例证明该模型的可行性.

A regional distribution system including a distribution center and multiple retailers was studied,where the demand all replenishing intervals complied with the random variables of a certain probability distribution.Each retailer can decide its own optimal demand via replenishing in time independently with fixed replenishing intervals.So,the distribution center shall deliver goods to each retailer regularly,i.e.,the same to the fixed replenishing intervals.In view of that the demand of a retailer is in uniform distribution in a replenishing interval,where the demand is assumed to be even,the control strategres to make the replenishment optimal for retailers and make the purchase of goods optimal for the distribution center were both proposed through optimization of costs.A numerical example was given to verify the control strategies proposed.