Abstract
In this paper, an M|Ph|1 queueing system with server breakdowns is studied. Jobs arrive at the server according to a non-homogeneous Poisson process with a non-homogeneous service time distribution which is of phase type. The life-times of the server are non-homogeneously exponentially distributed and the repair times of the server are non-homogeneously phase type distributed. The non-homogeneity of these distributions is due to the dependence of their parameters on the number of jobs in the system as well as the interdependence of these parameters. For this model, an explicit recursive matrix representation of the stationary queue length distribution is obtained.
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© 1995 Springer-Verlag Berlin Heidelberg
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van Eenige, M.J.A., van der Wal, J. (1995). A Non-Homogeneous M|Ph|1 Queueing System Subject to Breakdowns. In: Derigs, U., Bachem, A., Drexl, A. (eds) Operations Research Proceedings 1994. Operations Research Proceedings, vol 1994. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79459-9_40
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DOI: https://doi.org/10.1007/978-3-642-79459-9_40
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