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December 2012 A note on M/G/1 vacation systems with sojourn time limits
Tsuyoshi Katayama
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J. Appl. Probab. 49(4): 1194-1199 (December 2012). DOI: 10.1239/jap/1354716667

Abstract

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.

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Tsuyoshi Katayama. "A note on M/G/1 vacation systems with sojourn time limits." J. Appl. Probab. 49 (4) 1194 - 1199, December 2012. https://doi.org/10.1239/jap/1354716667

Information

Published: December 2012
First available in Project Euclid: 5 December 2012

zbMATH: 1255.90055
MathSciNet: MR3058998
Digital Object Identifier: 10.1239/jap/1354716667

Subjects:
Primary: 45D05 , 60G17 , 60K25

Keywords: balking , integral equation , level crossing , Sojourn time limit , vacation system

Rights: Copyright © 2012 Applied Probability Trust

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Vol.49 • No. 4 • December 2012
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