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Sojourn Times in a Multiclass Priority Queue with Random Feedback
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  • Sojourn Times in a Multiclass Priority Queue with Random Feedback
  • Sojourn Times in a Multiclass Priority Queue with Random Feedback
저자명
Hong. Sung-Jo,Hirayama. Tetsuji
간행물명
International journal of management science
권/호정보
1996년|2권 1호|pp.123-145 (23 pages)
발행정보
한국경영과학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

We consider a priority-based multiclass queue with probabilistic feed-back. There are J service stations. Each customer belongs to one of the several priority classes, and the customers of each class arrive at each station in a Poisson process. A single server serves queued customers on a priority basis with a nonpreemptive scheduling discipline. The customers who complete their services feed back to the system instantaneously and join one of the queues of the stations or depart from the system according to a given probability. In this paper, we propose a new method to simplify the analysis of these queueing systems. By the analysis of busy periods and regenerative processes, we clarify the underlying system structure, and systematically obtain the mean for the sojourn time, i.e., the time from the arrival to the departure from the system, of a customer at every station. The mean for the number of customers queued in each station at an arbitrary time is also obtained simultaneously.