| Title:
|
On a non-Markovian queueing problem under a control operating policy and start-up times (English) |
| Author:
|
Borthakur, Arun |
| Author:
|
Gohain, Ruby |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
27 |
| Issue:
|
4 |
| Year:
|
1982 |
| Pages:
|
243-250 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A non-Markovian queueing system with Poisson input is studied under a modified operating rule called "control operating policy" in which the server begins "start-up" only when the queue length reaches a fixed number $n(\geq 1)$. By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse the economic behaviour of the system. (English) |
| Keyword:
|
control operating policy |
| Keyword:
|
distribution of the queue length |
| Keyword:
|
economic behaviour of systems |
| MSC:
|
60E10 |
| MSC:
|
60K25 |
| MSC:
|
90B22 |
| idZBL:
|
Zbl 0491.60097 |
| idMR:
|
MR0666903 |
| DOI:
|
10.21136/AM.1982.103969 |
| . |
| Date available:
|
2008-05-20T18:19:32Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103969 |
| . |
| Reference:
|
[1] K. R. Baker: A Cost Function for a Markovian Production - Inventory System Under Base-Stock Level Control.Technical Memo No. 707, January; (1970). |
| Reference:
|
[2] K. R. Baker: A Note on Operating Policies for the Queue M/M/1 with Exponential Start-ups.INFOR, Vol. 11, No. 1, February; (1973). MR 0339803 |
| Reference:
|
[3] D. P. Heyman: Optimal Operating Policies for M/G/1 Queueing System.O.R. Vol. 16, No. 2, March-April; (1968). |
| . |
