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PRODUCT-FORM MARKOVIAN QUEUEING SYSTEMS WITH MULTIPLE RESOURCES
| Content Provider | Scilit |
|---|---|
| Author | Naumov, Valeriy Samouylov, Konstantin |
| Copyright Year | 2019 |
| Description | In the paper, we study general Markovian models of loss systems with random resource requirements, in which customers at arrival occupy random quantities of various resources and release them at departure. Customers may request negative quantities of resources, but total amount of resources allocated to customers should be nonnegative and cannot exceed predefined maximum levels. Allocating a negative volume of a resource to a customer leads to a temporary increase in its volume in the system. We derive necessary and sufficient conditions for the product-form of the stationary probability distribution of the Markov jump process describing the system. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6674EC65E1F4D1E6E4477361BC9B1A10/S026996481900024Xa.pdf/div-class-title-product-form-markovian-queueing-systems-with-multiple-resources-div.pdf |
| Ending Page | 188 |
| Page Count | 9 |
| Starting Page | 180 |
| ISSN | 02699648 |
| e-ISSN | 14698951 |
| DOI | 10.1017/s026996481900024x |
| Journal | Probability in the Engineering and Informational Sciences |
| Issue Number | 1 |
| Volume Number | 35 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2021-01-01 |
| Access Restriction | Open |
| Subject Keyword | Probability in the Engineering and Informational Sciences Cybernetical Science Loss System Markovian Models Multiple Resources Random Resource Requirements |
| Content Type | Text |
| Resource Type | Article |
| Subject | Industrial and Manufacturing Engineering Statistics and Probability Management Science and Operations Research Statistics, Probability and Uncertainty |
