NDLI: Mean value analysis by chain of product form queueing networks

Content Provider	IEEE Xplore Digital Library
Author	Conway, A.E. de Souza e Silva, E. Lavenberg, S.S.
Copyright Year	1968
Abstract	A computational algorithm is developed for closed multichain product-form queueing networks. For networks that consist of only single-server fixed rate and infinite-server service centers, it involves only mean performance measures. The algorithm, called mean value analysis by chain (MVAC), is based on a recursion that is quite different in form from the recursion used in the well-known mean value analysis (MVA) algorithm and has quite different computational and storage costs. For networks with few service centers and many chains, MVAC typically has much lower costs than MVA, although it becomes more costly than MVA as the number of service centers increases. The MVAC recursion is similar in structure to a recursion involving normalizing constants that was derived by A.E. Conway and N.D. Georganas (1986). That recursion formed the basis for their recursion by chain (RECAL) algorithm for computing the normalizing constant and from it the mean performance measures. The computational and storage costs for MVAC are shown to be similar to those for RECAL.<>
Sponsorship	IEEE Computer Society Technical Committee on Distributed Process IEEE Computer Society Technical Committee on VLSI IEEE Technical Committee on Computer Architecture IEEE Computer Society
Starting Page	432
Ending Page	442
Page Count	11
File Size	982291
File Format	PDF
ISSN	00189340
Volume Number	38
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1989-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Queueing analysis Costs Network servers Computer networks Convolution Algorithm design and analysis Computational efficiency Performance analysis Analytical models Routing
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Software Hardware and Architecture

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