基于合作和竞争的供货商与销售商库存模型

Vendor-buyer inventory models based on cooperative and competitive situations

在一般的供货商与销售商联合生产库存模型中均做了如下假定:1)系统不允许缺货发生;2)在一个生产周期内供货商向销售商任意连续两次供货量之间的比值相同.文章放松上述假定,针对供货商与销售商合作和竞争这两种情形,分别建立了不同的库存模型,给出了寻求模型最优策略的分析方法.并证明了竞争情形下,由供货商与销售商所构成的两人一般和博弈在约束条件下Nash均衡的存在性,最后给出数字实例以说明上述模型的求解过程.

In the general vendor-buyer integrated production inventory models, there exist two common assumptions ： First, shortages are not allowed to occur in the system. Second, the successive shipments to the buyer within a production batch increase by a fixed factor. In this paper, we relax these assumptions and develop two different vendor-buyer inventory models under the cooperative and competitive situations, respectively. An analytical solution is provided for finding the optimal production and shipment policies. The existence of Nash equilibrium in the game for vendor and buyer is proved under competitive situation. Numerical example is given to illustrate the solution procedure.