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Application of level crossing analysis to discrete state processes in queueing systems

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  • J. G. Shanthikumar
  • M. Jeya Chandra

Abstract

In this paper we introduce a discrete state level crossing analysis and present some basic results and a key theorem of level crossings. We illustrate the fertility of the discrete state level crossing analysis by applying it to queueing systems with (i) bulk arrival, (ii) instantaneous feedback, (iii) limited waiting space, and (iv) to machine interference problems.

Suggested Citation

  • J. G. Shanthikumar & M. Jeya Chandra, 1982. "Application of level crossing analysis to discrete state processes in queueing systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 593-608, December.
    • Handle: RePEc:wly:navlog:v:29:y:1982:i:4:p:593-608
    DOI: 10.1002/nav.3800290407
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    Cited by:

    1. J. George Shanthikumar, 1989. "Level crossing analysis of priority queues and a conservation identity for vacation models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 797-806, December.

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