Unreliable production-inventory systems with hyper-exponential renewal demand processes

被引：0
|
作者：
Wang, JT [1 ]
Srinivasan, R
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Univ Saskatchewan, Math Sci Grp, Saskatoon, SK S7N 5E6, Canada
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 166卷 / 02期
关键词：
hyper-exponential renewal process; production-inventory system; unreliable machine;
D O I：
10.1016/j.amc.2004.06.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a production-inventory system in which an unreliable machine is susceptible to failure following which it must be repaired to make it operative again. The inter-arrival times of demand arrival processes are assumed to be hyper-exponentially distributed, demand sizes are i.i.d. random variables. An (m, M) policy is used to control the machine's setups and shutdowns. We give a stability condition of the inventory process, and then obtain its steady-state distribution which is used to calculate some performance measures of the system. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：475 / 488
页数：14
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