On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow
The authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the server capacity is r≥1 and that any service act will not begin until the queue ac...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000759 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567339793514496 |
|---|---|
| author | Jewgeni H. Dshalalow Gary Russell |
| author_facet | Jewgeni H. Dshalalow Gary Russell |
| author_sort | Jewgeni H. Dshalalow |
| collection | DOAJ |
| description | The authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the server capacity is r≥1 and that any service act will not begin until the queue accumulates at least r units. In this model, therefore, idle periods also depend upon the queue length. |
| format | Article |
| id | doaj-art-d79537277e2f47af8b17ce9abe8f61f5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d79537277e2f47af8b17ce9abe8f61f52025-02-03T01:01:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115359360010.1155/S0161171292000759On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flowJewgeni H. Dshalalow0Gary Russell1Department of Applied Mathematics, Florida Institute of Technology, Melbourne 32901, FL, USADepartment of Applied Mathematics, Florida Institute of Technology, Melbourne 32901, FL, USAThe authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the server capacity is r≥1 and that any service act will not begin until the queue accumulates at least r units. In this model, therefore, idle periods also depend upon the queue length.http://dx.doi.org/10.1155/S0161171292000759queueing processsemi-Markov processsemi-regenerative processembedded Markov chainsemi-Markov modulated Poisson processequilibriumcontinuous time parameter processservice cycleidle periodbusy periodintensity of the process. |
| spellingShingle | Jewgeni H. Dshalalow Gary Russell On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow International Journal of Mathematics and Mathematical Sciences queueing process semi-Markov process semi-regenerative process embedded Markov chain semi-Markov modulated Poisson process equilibrium continuous time parameter process service cycle idle period busy period intensity of the process. |
| title | On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow |
| title_full | On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow |
| title_fullStr | On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow |
| title_full_unstemmed | On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow |
| title_short | On a single-server queue with fixed accumulation level, state dependent service, and semi-Markov modulated input flow |
| title_sort | on a single server queue with fixed accumulation level state dependent service and semi markov modulated input flow |
| topic | queueing process semi-Markov process semi-regenerative process embedded Markov chain semi-Markov modulated Poisson process equilibrium continuous time parameter process service cycle idle period busy period intensity of the process. |
| url | http://dx.doi.org/10.1155/S0161171292000759 |
| work_keys_str_mv | AT jewgenihdshalalow onasingleserverqueuewithfixedaccumulationlevelstatedependentserviceandsemimarkovmodulatedinputflow AT garyrussell onasingleserverqueuewithfixedaccumulationlevelstatedependentserviceandsemimarkovmodulatedinputflow |