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A maximum entropy approach for the busy period of the M/G /1 retrial queue

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  • M. Lopez-Herrero

Abstract

This paper concerns the busy period of a single server queueing model with exponentially distributed repeated attempts. Several authors have analyzed the structure of the busy period in terms of the Laplace transform but, the information about the density function is limited to first and second order moments. We use the maximum entropy principle to find the least biased density function subject to several mean value constraints. We perform results for three different service time distributions: 3-stage Erlang, hyperexponential and exponential. Also a numerical comparative analysis between the exact Laplace transform and the corresponding maximum entropy density is presented. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • M. Lopez-Herrero, 2006. "A maximum entropy approach for the busy period of the M/G /1 retrial queue," Annals of Operations Research, Springer, vol. 141(1), pages 271-281, January.
    • Handle: RePEc:spr:annopr:v:141:y:2006:i:1:p:271-281:10.1007/s10479-006-5302-z
    DOI: 10.1007/s10479-006-5302-z
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    Cited by:

    1. Lyes Ikhlef & Ouiza Lekadir & Djamil Aïssani, 2016. "MRSPN analysis of Semi-Markovian finite source retrial queues," Annals of Operations Research, Springer, vol. 247(1), pages 141-167, December.
    2. Siddhartha Chakraborty & Biswabrata Pradhan, 2024. "On cumulative residual extropy of coherent and mixed systems," Annals of Operations Research, Springer, vol. 340(1), pages 59-81, September.

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