Response time in a tandem queue with blocking, Markovian arrivals and phase-type services

Authors:
B. Van Houdt;Attahiru Sule Alfa
Affiliations:
Department of Mathematics and Computer Science, University of Antwerp, Performance Analysis of Telecommunication Systems Research Group, Middelheimlaan 1, B-2020 Antwerp, Belgium;Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, R3T 5V6, Canada
Venue:
Operations Research Letters
Year:
2005

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Abstract

A novel approach for obtaining the response time in a discrete-time tandem-queue with blocking is presented. The approach constructs a Markov chain based on the age of the leading customer in the first queue. We also provide a stability condition and carry out several numerical examples.