The discrete-time Geo/Geo/1 queue with negative customers and disasters
- 作者：Atencia ; I. ; Moreno ; P.
- 关键词：Discrete-time model ; Markov chain ; Ergodicity ; Negative customers ; Disasters
- 刊名：Computers and Operations Research
- 出版年：2004
- 期刊代码：3_03050548
- 类别：dec
- 出版时间：August, 2004
- 卷：31
- 期：9
- 页码：1537-1548
- 文件大小：425 K
摘要
The arrival of a negative customer to a queueing system causes one ordinary customer to be removed (or killed) if any is present. The arrival of a disaster, on the other hand, kills all the customers in the system if any. In this paper, we extend the queueing theory on negative arrivals and disasters to the discrete-time Geo/Geo/1 queueing system. Specifically, we find the ergodicity condition and give explicit formulae for the stationary distribution. We also provide some numerical results to illustrate the effect of the parameters on several performance characteristics.