Boundary value methods for transient solutions of queueing networks with variant vacation policy

Raymond H. CHAN, Spike T. LEE, Hai Wei SUN*

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

3 Citations (Scopus)

Abstract

Boundary value methods are applied to find transient solutions of MM2 queueing systems with two heterogeneous servers under a variant vacation policy. An iterative method is employed to solve the resulting large linear system and a Crank-Nicolson preconditioner is used to accelerate the convergence. Numerical results are presented to demonstrate the efficiency of the proposed method.

Original languageEnglish
Pages (from-to)3948-3955
Number of pages8
JournalJournal of Computational and Applied Mathematics
Volume236
Issue number16
Early online date28 Jan 2012
DOIs
Publication statusPublished - Oct 2012
Externally publishedYes

Keywords

  • Boundary value method
  • Crank-Nicolson preconditioner
  • Heterogeneous servers
  • Queueing systems
  • Variant vacation policy

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