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{M_1},{M_2}/M/1$ RETRIAL QUEUEING SYSTEMS WITH TWO CLASSES OF CUSTOMERS AND SMART MACHINE
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  • {M_1},{M_2}/M/1$ RETRIAL QUEUEING SYSTEMS WITH TWO CLASSES OF CUSTOMERS AND SMART MACHINE
  • {M_1},{M_2}/M/1$ RETRIAL QUEUEING SYSTEMS WITH TWO CLASSES OF CUSTOMERS AND SMART MACHINE
저자명
Han. Dong-Hwan,Park. Chul-Geun
간행물명
Communications of the Korean Mathematical Society
권/호정보
1998년|13권 2호|pp.393-403 (11 pages)
발행정보
대한수학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

We consider $M_1,M_2/M/1$ retrial queues with two classes of customers in which the service rates depend on the total number or the customers served since the beginning of the current busy period. In the case that arriving customers are bloced due to the channel being busy, the class 1 customers are queued in the priority group and are served as soon as the channel is free, whereas the class 2 customers enter the retrical group in order to try service again after a random amount of time. For the first $N(N geq 1)$ exceptional services model which is a special case of our model, we derive the joint generating function of the numbers of customers in the two groups. When N = 1 i.e., the first exceptional service model, we obtain the joint generating function explicitly and if the arrival rate of class 2 customers is 0, we show that the results for our model coincide with known results for the M/M/1 queues with smart machine.