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A Binary Grasshopper Optimisation Algorithm Applied to the Set Covering Problem Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Calculation of the Closed Multi-channel Queueing Systems

Author : Yuri Ryzhikov

Published in: Cybernetics and Algorithms in Intelligent Systems

Publisher: Springer International Publishing

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Abstract

A modification of the iterative Takahashi—Takami method is discussed to calculate the distribution of the number of requests in the closed multiphase queueing systems. A method is proposed for calculating the moments of waiting time distribution. The results of the calculations are compared with those obtained from a simulation model.

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Literature
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Vishnevsky, V.M.: Theoretical bases of designing computer networks. Technosphere, Moscow (2003). (in Russian)
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Bolch, G., Greiner, S., de Meer, H., Trivedi, K.: Queueing Networks and Markov Chains: Modeling and Performance Evaluation with the Computer Science Applications. Wiley, Hoboken (2006)CrossRef
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Shin,Y.W., Moon, D.H. Sensitivity and approximation of M/G/c Queue: Numerical Experiments. In: 8 th International Symposium on Operational Research and its Applications, China, pp. 140–147 (2009)
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Ryzhikov, Y.I.: Iterative method for calculating multi-channel service systems — bases, modifications and marginal capabilities distribution (in Russian). In: Proceedings of the 9th Russian Multiconference on Management Problems. Information Technologies in Management. State Scientific Center of the Russian Federation “Concern Elektropribor”, pp. 224–233, SPb (2016)
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Ryzhikov, Y.I.: Modifications and perspectives of the matrix-geometric progression method (in Russian). Ibid., pp. 234–243
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Takahashi, Y., Takami, Y.: A Numerical Method for the Steady-State Probability of a GI/G/c Queuing System in a General Class. J. Operat. Res. Soc. Jpn 19(2), 147–157 (1976)CrossRef
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Ryzhikov, Y.I.: A package of programs for the calculation of systems with queues and its testing. In: Proceedings of the SPIIRAN. Issue 7. Science, pp. 265–284, SPb (2008) (in Russian)
Metadata
Title
Calculation of the Closed Multi-channel Queueing Systems
Author
Yuri Ryzhikov
Copyright Year
2019
Book
Cybernetics and Algorithms in Intelligent Systems

Print ISBN: 978-3-319-91191-5

Electronic ISBN: 978-3-319-91192-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-91192-2_14

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