Probabilities for Queueing Systems with Embedded Markov Chains |
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Authors: | Saralees Nadarajah |
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Institution: | 1. School of Mathematics , University of Manchester , Manchester, United Kingdom mbbsssn2@manchester.ac.uk |
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Abstract: | Abstract Transition probabilities of embedded Markov chain for single-server queues are considered when the distribution of the inter-arrival time or that of the service time is specified. A comprehensive collection of formulas is derived for the transition probabilities, covering some seventeen flexible families. The corresponding estimation procedures are also derived by the method of moments. It is expected that this work could serve as a useful reference for the modeling of queuing systems with embedded Markov chains. |
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Keywords: | Embedded Markov chains Poisson distribution Queuing systems Special functions |
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