论文标题
在排队关注系统网络中负载平衡
Load balancing in a network of queueing-inventory systems
论文作者
论文摘要
我们研究了一个由普通供应商耦合的几个位置的供应链。客户需求根据泊松过程到达每个生产系统，如果本地库存耗尽（“销售损失”），则会丢失。为了满足客户的需求，生产系统中的服务器需要相关的本地库存中的原材料。供应商生产原材料以补充当地库存，这些库存由连续的审查基本股票政策控制。项目的路由取决于位置上的库存，目的是获得“负载平衡”。我们表明，固定分布具有生产子系统和库存复制子系统的边际分布的产品形式。对于生产子系统的边际分布，我们得出了一个明确的解决方案，对于库存复制子系统的边际分布，我们得出了明确的解决方案。某些特殊情况下的递归算法。
We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local inventory is depleted ("lost sales"). To satisfy a customer's demand a server at the production system needs raw material from the associated local inventory. The supplier manufactures raw material to replenish the local inventories, which are controlled by a continuous review base stock policy. The routing of items depends on the on-hand inventory at the locations with the aim to obtain "load balancing". We show that the stationary distribution has a product form of the marginal distributions of the production subsystem and the inventory-replenishment subsystem. For the marginal distribution of the production subsystem we derive an explicit solution and for the marginal distribution of the inventory-replenishment subsystem we derive an explicit solution resp. a recursive algorithm for some special cases.
