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- Title
THE QUEUE M G 1 WITH MARKOV MODULATED ARRIVALS AND SERVICES.
- Authors
Regterschot, G. J. K.; de Smit, J. H. A.
- Abstract
We study an M|G|I 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 quantifies of interest is described and some numerical examples are given.
- Subjects
QUEUING theory; MARKOV processes; DISTRIBUTION (Probability theory); CHARACTERISTIC functions; PROBABILITY theory; MATHEMATICAL functions; MATHEMATICS; STATISTICS; FUNCTIONALS
- Publication
Mathematics of Operations Research, 1986, Vol 11, Issue 3, p465
- ISSN
0364-765X
- Publication type
Article
- DOI
10.1287/moor.11.3.465