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학술지 Analysis of the GI/Geo/1 Queue with N-Policy
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저자
임대은, 이두호, 양원석, 채경철
발행일
201304
출처
Applied Mathematical Modelling, v.37 no.7, pp.4643-4652
ISSN
0307-904X
출판사
Elsevier
DOI
https://dx.doi.org/10.1016/j.apm.2012.09.037
협약과제
13PS1500, 다수의 이종 클라우드 자원을 통합 관리하는 서비스 브로커 및 개방형 빅데이터 분석?협업 플랫폼 개발, 정성인
초록
We consider a discrete-time single server N-policy GI/. Geo/1 queueing system. The server stops servicing whenever the system becomes empty, and resumes its service as soon as the number of waiting customers in the queue reaches N. Using an embedded Markov chain and a trial solution approach, the stationary queue length distribution at arrival epochs is obtained. Furthermore, we obtain the stationary queue length distribution at arbitrary epochs by using the preceding result and a semi-Markov process. The sojourn time distribution is also presented. © 2012 Elsevier Inc.
키워드
Busy period, Discrete-time queue, General input queue, N-policy
KSP 제안 키워드
Busy period, Discrete-time queue, N-policy, Queue length distribution, Semi-Markov Process, Sojourn time distribution, embedded Markov chain, queueing system, single server