Semigroup Forum

, Volume 75, Issue 3, pp 609–623 | Cite as

A Semigroup Approach to Queueing Systems

Article

Abstract

We prove asymptotic stability of the solutions of equations describing a simple queueing system consisting of two machines separated by a finite storage buffer. Following an approach by G. Gupur, we apply the theory of C0-semigroups and spectral theory of positive operators.

Keywords

Service Time Asymptotic Stability Positive Operator Boundary Condition Abstract Cauchy Problem 
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Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.College of Mathematics and System Sciences, Xinjiang UniversityUrumqi 830046China
  2. 2.Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10D-72076 TubingenGermany

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