在一个有缺陷产品和销售损失的生产库存系统上

M. R.
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引用次数: 1

摘要

本文考虑了一个生产-库存系统,该系统生产的产品以δ概率被接收(添加到库存中),而在服务结束时,从库存中向客户提供的产品以γ概率被接收。遵循(s, s)控制策略。在假设库存水平为零时客户不加入的情况下,我们得到了客户数量和库存物品数量作为其边际乘积的联合分布。获得影响系统的性能指标。得到了一些平交结果。特别地,对于集合{0.1,0.2,…]上的(γ, δ)值,通过数值过程得到了最优对(s, s)。, 1} ×{0.1, 0.2,…, 1}。给出了几个(γ, δ)对值的性能度量的比较。最后,讨论了M/M/1/1生产库存系统的第一次空化时间分布。
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On a production-inventory system with defective items and lost sales
A production-inventory system with the item produced being admitted (added to the inventory) with probability δ as well as an item from the inventory supplied to the customer with probability γ at the end of a service, is considered in this paper. The (s, S) control policy is followed. We obtain the joint distribution of the number of customers and the number of items in the inventory as the product of their marginals under the assumption that customers do not join when the inventory level is zero. Performance measures that impact the system are obtained. A few level-crossing results are derived. In particular optimal pairs (s, S) are obtained through numerical procedures for values of (γ, δ) on the set {0.1, 0.2, . . . , 1} × {0.1, 0.2, . . . , 1} . A comparison of the performance measures for a few (γ, δ) pair values is provided. Finally, we discuss the first emptiness time distribution for the M/M/1/1 production-inventory system.
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