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학술지 The M/G/1 Queue with Disasters and Working Breakdowns
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저자
김보근, 이두호
발행일
201403
출처
Applied Mathematical Modelling, v.38 no.5-6, pp.1788-1798
ISSN
0307-904X
출판사
Elsevier
DOI
https://dx.doi.org/10.1016/j.apm.2013.09.016
협약과제
14MI9200, (통합)스마트 네트워킹 핵심 기술 개발, 이병선
초록
In this paper, we analyze the M/G/1 queueing system with disasters and working breakdown services. The system consists of a main server and a substitute server, and disasters only occur while the main server is in operation. The occurrence of disasters forces all customers to leave the system and causes the main server to fail. At a failure instant, the main server is sent to the repair shop and the repair period immediately begins. During the repair period, the system is equipped with the substitute server which provides the working breakdown services to arriving customers. After introducing the concept of working breakdown services, we derive the system size distribution and the sojourn time distribution. We also obtain the results of the cycle analysis. In addition, numerical works are given to examine the relation between the sojourn time and the some system parameters. © 2013 Elsevier Inc.
키워드
Disaster, M/G/1 queue, Normal service, Repair period, Working breakdown service
KSP 제안 키워드
Cycle analysis, M/G/1 queue, Sojourn time distribution, System size, queueing system, size distribution, system parameters, working breakdown