The Queue M|G|1 with Markov Modulated Arrivals and Services
- 1 August 1986
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 11 (3) , 465-483
- https://doi.org/10.1287/moor.11.3.465
Abstract
We study an M|G|1 queue in which both the arrival rate and the service time distribution depend on the state of an underlying finite-state Markov chain. The solution is obtained by a matrix factorization method. This leads to results for waiting times and queue lengths both at arrival epochs and in continuous time. A numerical algorithm for the calculation of several quantities of interest is described and some numerical examples are given.Keywords
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