A Computational Approach for Fluid Queues Driven by Truncated Birth–Death Processes

R.B. Lenin, P.R. Parthasarathy

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Abstract

In this paper, we analyze fluid queues driven by truncated birth-death processes with general birth and death rates. We compute the equilibrium distribution of the content of the fluid buffer by providing efficient numerical procedures to compute the eigenvalues and the eigenvectors of the associated real sign-asymmetric tridiagonal matrix. We illustrate the effectiveness of the procedures through tables and graphs.
Original languageEnglish
Pages (from-to)373-392
Number of pages20
JournalMethodology and computing in applied probability
Volume2
Issue number4
DOIs
Publication statusPublished - 2000

Keywords

  • Tridiagonal matrices
  • Eigenvectors
  • Eigenvalues
  • Tridiagonal determinant
  • n/a OA procedure

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