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Performance analysis for queueing systems with close down periods and server under maintenance

Author

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  • B. Krishna Kumar
  • S. Anbarasu
  • S.R. Anantha Lakshmi

Abstract

A single server queue subject to maintenance of the server and the close down period is considered. We obtain explicit expressions for the transient probabilities of the system size, the server under maintenance state and the close down period. The time-dependent performance measures of the system and the probability density function of the first-passage-time to reach the maintenance state are discussed. The corresponding steady state analysis and key performance measures of the system are also presented. Finally, the effect of various parameters on system performance measures is demonstrated by a numerical example.

Suggested Citation

  • B. Krishna Kumar & S. Anbarasu & S.R. Anantha Lakshmi, 2015. "Performance analysis for queueing systems with close down periods and server under maintenance," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 88-110, January.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:88-110
    DOI: 10.1080/00207721.2013.775384
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    Cited by:

    1. Sabri-Laghaie, Kamyar & Karimi-Nasab, Mehdi, 2019. "Random search algorithms for redundancy allocation problem of a queuing system with maintenance considerations," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 144-162.
    2. Priyanka Kalita & Gautam Choudhury & Dharmaraja Selvamuthu, 2020. "Analysis of Single Server Queue with Modified Vacation Policy," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 511-553, June.

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