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Survey of closed queueing networks with blocking

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Raif O. OnvuralAuthors Info & Claims

ACM Computing Surveys (CSUR), Volume 22, Issue 2

Pages 83 - 121

https://doi.org/10.1145/78919.78920

Published: 01 June 1990 Publication History

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Abstract

Closed queueing networks are frequently used to model complex service systems such as production systems, communication systems, computer systems, and flexible manufacturing systems. When limitations are imposed on the queue sizes (i.e., finite queues), a phenomenon called blocking occurs. Queueing networks with blocking are, in general, difficult to treat. Exact closed form solutions have been reported only in a few special cases. Hence, most of the techniques that are used to analyze such queueing networks are in the form of approximations, numerical analysis, and simulation. In this paper, we give a systematic presentation of the literature related to closed queueing networks with finite queues. The results are significant for both researchers and practitioners.

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Reviews

Reviewer: Taghi J. Mirsepassi

I recommend this paper highly to both researchers and practitioners involved with queueing networks, particularly if they anticipate problems associated with limited node capacities. The first nine pages provide comprehensive coverage of queueing network applications, terminology, and basic governing equations; some practical network configurations; and definitions of network “blocking” and “deadlock.” The next 28 pages deal exclusively with blocking and deadlock problems. The author presents a systematic survey of the existing literature and its specific contributions to the analytical, numerical, and approximation solution techniques of these problems. The important mathematical conclusions and computational techniques developed in various surveyed papers are presented in the form of 16 lemmas and 10 algorithms. The last two pages provide an elaborate listing of more than 70 papers that the author has consulted and referenced throughout the paper.

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Published In

ACM Computing Surveys Volume 22, Issue 2

June 1990

87 pages

ISSN:0360-0300

EISSN:1557-7341

DOI:10.1145/78919

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 June 1990

Published in CSUR Volume 22, Issue 2

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Palmer GHarper PKnight V(2018)Modelling deadlock in open restricted queueing networksEuropean Journal of Operational Research10.1016/j.ejor.2017.10.039266:2(609-621)Online publication date: Apr-2018
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Recommendations

Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence

Reversibility of Tandem Blocking Queueing Systems

Higher-order distributional properties in closed queueing networks

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