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2 results

  • A Note on M/G/1 Vacation Systems with Sojourn Time Limits

  • Part of
  • Tsuyoshi Katayama
  • Journal:
    Journal of Applied Probability / Volume 49 / Issue 4 / December 2012
    Published online by Cambridge University Press:
    30 January 2018, pp. 1194-1199
    Print publication:
    December 2012
    • Article
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  • In this paper we deal with an M/G/1 vacation system with the sojourn time (wait plus service) limit and two typical vacation rules, i.e. multiple and single vacation rules. Using the level crossing approach, we derive recursive equations for the steady-state distributions of the virtual waiting times in M/G/1 vacation systems with a general vacation time and two vacation rules.

  • Some Results for Vacation Systems with Sojourn Time Limits

  • Part of
  • Tsuyoshi Katayama
  • Journal:
    Journal of Applied Probability / Volume 48 / Issue 3 / September 2011
    Published online by Cambridge University Press:
    14 July 2016, pp. 679-687
    Print publication:
    September 2011
    • Article
      • You have access
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  • In this paper we deal with an M/G/1 vacation system with the sojourn time (wait plus service) limit and two typical vacation rules, i.e. multiple and single vacation rules. Using the level crossing approach, explicit expressions for the steady-state distributions of the virtual waiting times are obtained in vacation systems with exponential and constant service times, a general vacation time, and two vacation rules.