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Application of (Max, +)-algebra to the Waiting Times in Deterministic 3-node Tandem Queues with Blocking
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  • Application of (Max, +)-algebra to the Waiting Times in Deterministic 3-node Tandem Queues with Blocking
  • Application of (Max, +)-algebra to the Waiting Times in Deterministic 3-node Tandem Queues with Blocking
저자명
서동원,Seo. Dong-Won
간행물명
韓國經營科學會誌
권/호정보
2005년|30권 2호|pp.73-80 (8 pages)
발행정보
한국경영과학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

In this paper, we consider characteristics of waiting times in s1n91e-server 3-node tandem queues with finite buffers, a Poisson arrival process and deterministic service times at all nodes. There are three buffers : one at the first node is infinite and the others are finite. We obtain the fact that sojourn time or departure process is independent of the capacities of the finite buffers and does not depend on the order of service times, which are the same results in the literature. Moreover, the explicit expressions of stationary waiting times in all areas of the systems can be derived as functions of the finite buffer capacities. We also disclose a relationship of waiting times in subareas of the systems between two blocking policies communication and manufacturing. Some numerical examples are also provided.