A perishable inventory system with retrial demands and a finite population

A perishable inventory system with retrial demands and a finite population
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DOI:
10.1016/j.cam.2008.03.041
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发表时间:
2009-02
影响因子:
2.4
通讯作者:
B. Sivakumar
B. Sivakumar
中科院分区:
数学2区
文献类型:
--
作者:
B. Sivakumar

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在这篇文章中,我们考虑了一个连续的审查易腐库存系统与有限个齐次需求源。最大存储容量为S。每个项目的生命时间被假定为指数。经营策略是(s,S)策略,也就是说,每当库存水平下降到s时,就下Q(= S-s)个项目的订单。有序项在按指数分布的随机时间之后被接收。我们假设在缺货期间发生的需求进入轨道。这些轨道需求发出信号,以竞争他们的需求,这是指数分布。在稳态情况下,得到了轨道上的库存水平和需求数量的联合概率分布。各种系统性能的措施,推导出的结果进行了数值说明。
In this article, we consider a continuous review perishable inventory system with a finite number of homogeneous sources of demands. The maximum storage capacity is S. The life time of each items is assumed to be exponential. The operating policy is (s,S) policy, that is, whenever the inventory level drops to s, an order for Q(=S−s) items is placed. The ordered items are received after a random time which is distributed as exponential. We assume that demands occurring during the stock-out period enter into the orbit. These orbiting demands send out signal to compete for their demand which is distributed as exponential. The joint probability distribution of the inventory level and the number of demands in the orbit are obtained in the steady state case. Various system performance measures are derived and the results are illustrated numerically.