| Title:
|
On a discrete modified $M/GI/c/\infty$ queue (English) |
| Author:
|
Dvurečenskij, Anatolij |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1987 |
| Pages:
|
214-223 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
The busy period distribution of a discrete modified queue $M/GI/c/\infty$, with finitely or infinitely many severs , and with different distribution functions of customer service times is derived. (English) |
| Keyword:
|
discrete modified queue |
| Keyword:
|
busy period |
| Keyword:
|
idle period |
| Keyword:
|
geometrically distributed interarrival times |
| MSC:
|
60K25 |
| MSC:
|
60K30 |
| MSC:
|
90B22 |
| idZBL:
|
Zbl 0633.60105 |
| idMR:
|
MR0895879 |
| DOI:
|
10.21136/AM.1987.104252 |
| . |
| Date available:
|
2008-05-20T18:32:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104252 |
| . |
| Reference:
|
[1] A. Dvurečenskij, al.: On a problem of the busy period determination in queues with infinitely many servers.J. Appl. Probab., 21 (1984), 201-206. MR 0732687, 10.2307/3213680 |
| Reference:
|
[2] A. Dvurečenskij G. A. Ososkov: A discrete modified counter with prolonging dead time.JINR, E 5-84-823, Dubna (1984). |
| Reference:
|
[3] В. В. Калашников: О совместном распределении пероидов занятости и простоев для систем обслуживания.Изв. АН СССР Техн. киб. № 6 (1971), 106-109. Zbl 1170.92344 |
| Reference:
|
[4] В. Б Ивановский: О свойствах выходных потоков в дискретных системах массового обслуживания.Авт. и Телемех. № 11 (1984) 32-39. Zbl 1170.01392 |
| Reference:
|
[5] A. G. Pakes: A GI/M/1 queue with a modified service mechanisms.Ann. Inst. Stát. Math. 24 (1972), 589-597. MR 0336844, 10.1007/BF02479785 |
| Reference:
|
[6] A. G. Pakes: On the busy period of the modified GI/G/1 queue.J. Appl. Prob. 10 (1973), 192-197. Zbl 0265.60091, MR 0350902, 10.2307/3212506 |
| Reference:
|
[7] J. G. Shanthikumar: Level crossing analysis of some variants of GI/M/1 queues.Opsearch. 19 (1982), 148-159. Zbl 0506.60094, MR 0696148 |
| Reference:
|
[8] P. D. Welch: On a generalized M/GI/1 queueing process in which the first customer of each busy period receives exceptional service.Oper. res. 12 (1964), 736-752. MR 0176544, 10.1287/opre.12.5.736 |
| Reference:
|
[9] G. F. Yeo: Single server queues with modified service mechanisms.J. Austral. Math. Soc. 3 (1962), 491-502. Zbl 0134.35302, MR 0181026 |
| . |
