Applications of Stochastic Semigroups to Queueing Models
Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of variables and non-local boundary conditions. We...
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Format: | Article |
Language: | English |
Published: |
Sciendo
2019-09-01
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Series: | Annales Mathematicae Silesianae |
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Online Access: | http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0007/amsil-2018-0007.xml?format=INT |
Summary: | Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of variables and non-local boundary conditions. We show how one can study such systems by using the theory of stochastic semigroups. |
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ISSN: | 2391-4238 |