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Journal of the Operational Research Society Volume 42, 1991 - Issue 1
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Theoretical Paper

An Analysis of M/M/s Queueing Systems Based on the Maximum Entropy Principle

Ikuo ArizonoDepartment of Industrial EngineeringUniversity of Osaka PrefectureJapan
,
Yusheng CuiDepartment of Industrial EngineeringUniversity of Osaka PrefectureJapan
&
Hiroshi OhtaDepartment of Industrial EngineeringUniversity of Osaka PrefectureJapan
Pages 69-73 | Published online: 20 Dec 2017

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Read on this site (2)

Ryosuke Hirata, Ikuo Arizono & Yasuhiko Takemoto. (2021) On reliability analysis in priority standby redundant systems based on maximum entropy principle. Quality Technology & Quantitative Management 18:1, pages 117-133.
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Jau-Chuan Ke, Chuen-Horng Lin & Hsin-I Huang. (2009) Entropy maximization and vacation M/G/1 model with a startup and unreliable server: comparative analysis on the first two moments of system size. International Journal of Computer Mathematics 86:4, pages 703-718.
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Articles from other publishers (16)

Ikuo Arizono & Yasuhiko Takemoto. (2022) Statistical mechanics approach for steady-state analysis in M/M/s queueing system with balking. Journal of Industrial & Management Optimization 18:1, pages 25.
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Ikuo Arizono & Yasuhiko Takemoto. (2021) An analysis of steady-state distribution in M/M/ 1 queueing system with balking based on concept of statistical mechanics . RAIRO - Operations Research 55, pages S327-S341.
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Jia-Yu Chen, Kuo-Hsiung Wang, Shin-Pyng Sheu & Wen-Kuang Chou. (2015) Maximum Entropy Analysis to the N Policy M/G/1 Queue with Working Breakdowns . Journal of Testing and Evaluation 43:5, pages 1211-1220.
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Dayi He, Ran Li, Qi Huang & Ping Lei. (2014) Maximum Entropy Principle Based Estimation of Performance Distribution in Queueing Theory. PLoS ONE 9:9, pages e106965.
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Charan Jeet Singh, Madhu Jain & Binay Kumar. (2013) Analysis of unreliable bulk queue with statedependent arrivals. Journal of Industrial Engineering International 9:1.
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Dong-Yuh Yang, Kuo-Hsiung Wang & W. L. Pearn. (2009) Steady-state probability of the randomized server control system with second optional service, server breakdowns and startup. Journal of Applied Mathematics and Computing 32:1, pages 39-58.
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Jau-Chuan Ke & Chuen-Horng Lin. (2008) Maximum entropy approach for batch-arrival queue under policy with an un-reliable server and single vacation . Journal of Computational and Applied Mathematics 221:1, pages 1-15.
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Kuo-Hsiung Wang, Mei-Chuan Chan & Jau-Chuan Ke. (2007) Maximum entropy analysis of the M[x]/M/1 queueing system with multiple vacations and server breakdowns. Computers & Industrial Engineering 52:2, pages 192-202.
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Jau-Chuan Ke & Chuen-Horng Lin. (2006) Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacations. Applied Mathematics and Computation 183:2, pages 1328-1340.
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Kuo-Hsiung Wang, Tsung-Yin Wang & Wen-Lea Pearn. (2005) Maximum entropy analysis to the N policy M/G/1 queueing system with server breakdowns and general startup times. Applied Mathematics and Computation 165:1, pages 45-61.
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Kuo-Hsiung Wang, Shu-Lung Chuang & Wen-Lea Pearn. (2002) Maximum entropy analysis to the N policy M/G/1 queueing system with a removable server. Applied Mathematical Modelling 26:12, pages 1151-1162.
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M.J. Lopez-Herrero. (2002) On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach. Computers & Operations Research 29:12, pages 1739-1757.
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J.R. Artalejo & A. Gómez-Corral. (1995) Information theoretic analysis for queueing systems with quasi-random input. Mathematical and Computer Modelling 22:3, pages 65-76.
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Demetres Kouvatsos & Nasredine Tabet-Aouel. (1994) An ME-based approximation for multi-server queues with preemptive priority. European Journal of Operational Research 77:3, pages 496-515.
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Demetres D. Kouvatsos. (1994) Entropy maximisation and queueing network models. Annals of Operations Research 48:1, pages 63-126.
Crossref
Demetres Kouvatsos. 1993. Performance Evaluation of Computer and Communication Systems. Performance Evaluation of Computer and Communication Systems 245 290 .

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