On a bulk queueing system with impatient customers
We consider a bulk arrival, bulk service queueing system. Customers are served in batches of r units if the queue length is not less than r. Otherwise, the server delays the service until the number of units in the queue reaches or exceeds level r. We assume that unserved customers may get impat...
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| Format: | Article |
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Hindawi Limited
1998-01-01
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| Series: | Mathematical Problems in Engineering |
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| Online Access: | http://dx.doi.org/10.1155/S1024123X97000677 |
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doaj-8d83006c6c2c4269b5a820b80e9733802020-11-24T22:31:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471998-01-013653955410.1155/S1024123X97000677On a bulk queueing system with impatient customersLotfi Tadj0Lakdere Benkherouf1Lakhdar Aggoun2Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe consider a bulk arrival, bulk service queueing system. Customers are served in batches of r units if the queue length is not less than r. Otherwise, the server delays the service until the number of units in the queue reaches or exceeds level r. We assume that unserved customers may get impatient and leave the system. An ergodicity condition and steady-state probabilities are derived. Various system characteristics are also computed.http://dx.doi.org/10.1155/S1024123X97000677Queue; Impatience; Embedded Markov chain; Semi-regenerative process; Steady-state distribution. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lotfi Tadj Lakdere Benkherouf Lakhdar Aggoun |
| spellingShingle |
Lotfi Tadj Lakdere Benkherouf Lakhdar Aggoun On a bulk queueing system with impatient customers Mathematical Problems in Engineering Queue; Impatience; Embedded Markov chain; Semi-regenerative process; Steady-state distribution. |
| author_facet |
Lotfi Tadj Lakdere Benkherouf Lakhdar Aggoun |
| author_sort |
Lotfi Tadj |
| title |
On a bulk queueing system with impatient customers |
| title_short |
On a bulk queueing system with impatient customers |
| title_full |
On a bulk queueing system with impatient customers |
| title_fullStr |
On a bulk queueing system with impatient customers |
| title_full_unstemmed |
On a bulk queueing system with impatient customers |
| title_sort |
on a bulk queueing system with impatient customers |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
1998-01-01 |
| description |
We consider a bulk arrival, bulk service queueing system. Customers are served in batches of r
units if the queue length is not less than r. Otherwise, the server delays the service until the number of units in the queue reaches or exceeds level r. We assume that unserved customers may get impatient and leave the system. An ergodicity condition and steady-state probabilities are derived. Various system characteristics are also computed. |
| topic |
Queue; Impatience; Embedded Markov chain; Semi-regenerative process; Steady-state distribution. |
| url |
http://dx.doi.org/10.1155/S1024123X97000677 |
| work_keys_str_mv |
AT lotfitadj onabulkqueueingsystemwithimpatientcustomers AT lakderebenkherouf onabulkqueueingsystemwithimpatientcustomers AT lakhdaraggoun onabulkqueueingsystemwithimpatientcustomers |
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