첫 고객의 대기시간에 제약이 있는 M/G/1 휴가모형의 분석
- Title
- 첫 고객의 대기시간에 제약이 있는 M/G/1 휴가모형의 분석
- Other Titles
- An Analysis of M/G/1 Vacation Systems with Restriction to the Waiting Time of the First Customer
- Author
- 안선응
- Keywords
- M/G/1; vacation; NT-policy; timer and counter
- Issue Date
- 2002-06
- Publisher
- 대한산업공학회
- Citation
- 대한산업공학회지, v. 28, no. 2, page. 187-192
- Abstract
- In this paper we consider an M/G/1 queueing system with vacation. The length of
vacation period may be controlled by the waiting time of the first customer.
The server goes on vacation as soon as the system is empty, and resumes service
either when the waiting time of the leading customer reaches a predetermined value,
or when the vacation period is expired, whichever comes first. We consider two types
of vacation, say, multiple vacation type and N-policy type.
We derive the steady-state distributions of the number of customers at arbitrary
time and arbitrary customer's waiting time by means of decomposition property.
Also, the mean lengths of busy period, idle period and a cycle time are given.
- URI
- http://www.dbpia.co.kr/journal/articleDetail?nodeId=NODE01933967https://repository.hanyang.ac.kr/handle/20.500.11754/157017
- ISSN
- 1225-0988; 2234-6457
- Appears in Collections:
- COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > INDUSTRIAL AND MANAGEMENT ENGINEERING(산업경영공학과) > Articles
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