| Autor: |
Koh S K, Chin C H, Tan Y F, Teoh L E, Pooi A H, Goh Y K |
| Jazyk: |
English<br />French |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
MATEC Web of Conferences, Vol 189, p 02006 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
2261-236X |
| DOI: |
10.1051/matecconf/201818902006 |
| Popis: |
In this paper, a single-server queue with negative customers is considered. The arrival of a negative customer will remove one positive customer that is being served, if any is present. An alternative approach will be introduced to derive a set of equations which will be solved to obtain the stationary queue length distribution. We assume that the service time distribution tends to a constant asymptotic rate when time t goes to infinity. This assumption will allow for finding the stationary queue length of queueing systems with non-exponential service time distributions. Numerical examples for gamma distributed service time with fractional value of shape parameter will be presented in which the steady-state distribution of queue length with such service time distributions may not be easily computed by most of the existing analytical methods. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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