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On a Slow Server Problem

Chapter
Part of the Lecture Notes in Statistics book series (LNS, volume 208)

Abstract

The slow server problem is generalized for the case of additional cost structure. With the help of special partial ordering of the system state space it is shown that the optimal policy for the problem has a monotone property consisting in the following: an additional server should be switched on only in the case if the queue length exceeds some level depending on the system state, and in this case the server with minimal service cost should be used.

Keywords

Optimal Policy Queue Length Sojourn Time Monotonicity Property Qualitative Property 
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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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Applied Mathematics and Computational ModelingGubkin Russian State University of Oil and GasMoscowRussia

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