需求服从位相分布的供应链的协调控制

从需求服从位相分布角度研究一个生产商和多个零售商构成的供应链. 将其模型成Markov过程,通过分析供应链上各状态间的转移关系给出一个生产商与三个零售商的状态转移矩阵的表达式,并推出零售商在各个不同位相上的缺货概率及满货概率的计算公式,为供应链的协调控制提供了理论依据. 数值实验说明不同需求变化可以引起零售商服务水平变化.

Supply Chain Coordination and Control of Demands thatFollow a Phase Distribution

From the perspective of demands that follow a phase distribution, a supply chain that contains a manufacturer and several retailers is studied. It was modeled into a Markov process. Then, by analyzing the transition relationship of all the states of the supply chain, an expression of the transfer matrix about the states of manufacturer and three retailers is given. And the expressions for calculating the probability of out of stock and full stock of the retailers in all the different phases are given. So the theoretical basis is given for coordination and control of the supply chain. Numerical experiments explain the regularity of change of the retailers' service level with the change in different demands.