• Anglický jazyk

The analysis of the time-dependent behavior of queues

Autor: Rieske Hadianti

This book studies the time-dependent behavior of queuing systems which has non-empty initial work load. The technique used to analyze the behavior of the queueing systems studied in this book is based on the Wiener-Hopf factorization. The first major step... Viac o knihe

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O knihe

This book studies the time-dependent behavior of queuing systems which has non-empty initial work load. The technique used to analyze the behavior of the queueing systems studied in this book is based on the Wiener-Hopf factorization. The first major step in the analysis is the derivation of the (system of) transformed Wiener-Hopf equation(s). Wiener-Hopf factorization is then applied to its symbol. Since the queueing systems we consider have a non-zero initial working load, the Wiener-Hopf factorization should be followed by a decomposition on a certain (matrix) function. The Wiener-Hopf factorization and the decomposition yields a (formal) solution of the (system of) equation(s).If the stability condition is fulfilled, then the steady-state distributions of interest can be determined by applying Abel's limit theorem to the solution of the (system of) equation(s).In this book it is shown how the time-dependent distributions converge to the steady-state distribution.

  • Vydavateľstvo: LAP LAMBERT Academic Publishing
  • Rok vydania: 2011
  • Formát: Paperback
  • Rozmer: 220 x 150 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9783844333275

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