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Optimization of the M/M/1 queue with impatient customers
- Authors
- Lim, Kyung-Eun; Lee, Eui-Yong
- Issue Date
- Dec-2002
- Publisher
- 한국신뢰성학회
- Citation
- International Journal of Reliability and Applications, v.3, no.4, pp 165 - 171
- Pages
- 7
- Journal Title
- International Journal of Reliability and Applications
- Volume
- 3
- Number
- 4
- Start Page
- 165
- End Page
- 171
- ISSN
- 1598-0073
2283-8914
- Abstract
- An optimization of the M/M/1 queue with impatient customers is studied. The impatient customer does not enter the system if his or her virtual waiting time exceeds the threshold K ＞ 0. After assigning three costs to the system, a cost proportional to the virtual waiting time, a penalty to each impatient customer, and also a penalty to each unit of the idle period of the server, we show that there exists a threshold K which minimizes the long-run average cost per unit time.
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