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Queueing Systems

, Volume 5, Issue 1–3, pp 185–214 | Cite as

Workloads and waiting times in single-server systems with multiple customer classes

  • O. J. Boxma
Article

Abstract

One of the most fundamental properties that single-server multi-class service systems may possess is the property of work conservation. Under certain restrictions, the work conservation property gives rise to a conservation law for mean waiting times, i.e., a linear relation between the mean waiting times of the various classes of customers. This paper is devoted to single-server multi-class service systems in which work conservation is violated in the sense that the server's activities may be interrupted although work is still present. For a large class of such systems with interruptions, a decomposition of the amount of work into two independent components is obtained; one of these components is the amount of work in the corresponding systemwithout interruptions. The work decomposition gives rise to a (pseudo)conservation law for mean waiting times, just as work conservation did for the system without interruptions.

Keywords

Single-server multi-class service system service interruptions work decomposition conservation law 

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Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1989

Authors and Affiliations

  • O. J. Boxma
    • 1
    • 2
  1. 1.Centre for Mathematics and Computer ScienceAB AmsterdamThe Netherlands
  2. 2.Faculty of Economics, Tilburg UniversityLE TilburgThe Netherlands

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