International Journal of Reliability and Applications
- 제3권4호
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- Pages.165-171
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- 2002
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Optimization of theM/M/1 Queue with Impatient Customers
- Lee, Eui-Yong (Department of Statistics, Sookmyung Women's University) ;
- Lim, Kyung-Eun (Department of Statistics, Sookmyung Women's University)
- 발행 : 2002.12.01
초록
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.