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The analysis of the time-dependent behavior of queues


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  • Product Description

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.

Product Specifications
SKU :COC99258
AuthorRieske Hadianti
Number of Pages232
Publishing Year2011-06-16T00:00:00.000
Edition1 st
Book TypeMathematics & science
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-18 00:00:00