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Response time in a tandem queue with blocking, Markovian arrivals and phase-type services |
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| Authors: | B Van Houdt Attahiru Sule Alfa |
| Institution: | a Department of Mathematics and Computer Science, University of Antwerp, Performance Analysis of Telecommunication Systems Research Group, Middelheimlaan 1, B-2020 Antwerp, Belgium b Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, R3T 5V6, Canada |
| 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. |
| Keywords: | Tandem queue Blocking Markovian arrivals Phase-type services Response time Matrix analytic method |
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