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Metrika

, Volume 14, Issue 1, pp 101–116 | Cite as

Balking and reneging in M/G/1 systems with post-ponable interruptions

  • S. Subba Rao
Article
  • 36 Downloads

Summary

This paper considers the effect of postponable interruptions on aM/G/1 queueing process where customers balk with probabilityn/N (n=0, 1, 2, …,N) and renege after having waited for a random length of time. The busy period process in which transitions from any state (m, n) to any other state are permitted without an intermediate passage to the empty state, is investigated employing the supplementary variable method and discrete transforms. Later, the general process in which busy periods alternate with idle periods has been discussed in terms of the busy period process and renewal distributions and finally the ergodic properties of the general process studied by appealing to some results of renewal theory.

Keywords

Busy Period Idle Period Ergodic Property Renewal Period Renewal Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Subba Rao, S.: Queueing models with balking, reneging and interruptions. opns. Res. Vol. 13, 596–608, 1965.zbMATHMathSciNetCrossRefGoogle Scholar
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    Subba Rao, S.: Queueing models with balking and reneging. Ann. Inst. Stat. Math. (Japan).Google Scholar

Copyright information

© Physica-Verlag 1969

Authors and Affiliations

  • S. Subba Rao
    • 1
  1. 1.R. & D. Organisation. Ministry of DefenceScientitic Evaluation GroupNew DelhiIndia

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