| Title:
|
On a class of queue disciplines (English) |
| Author:
|
Dufková, Věra |
| Author:
|
Zítek, František |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
20 |
| Issue:
|
5 |
| Year:
|
1975 |
| Pages:
|
345-358 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the paper is to investigate queueing systems of the type $M/Mn$ (in equilibrium) in which customers to be served are selected from the queue: with fixed probabilities either the first customer or the last one is chosen. Using the standard method of generating functions the waiting time distribution and the outtaking probabilities are derived. () |
| MSC:
|
60K25 |
| idZBL:
|
Zbl 0324.60074 |
| idMR:
|
MR0386051 |
| DOI:
|
10.21136/AM.1975.103600 |
| . |
| Date available:
|
2008-05-20T18:02:00Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103600 |
| . |
| Reference:
|
[1] F. Ferschl: Zufallsabhängige Wirtschaftsprozesse.Physica Veriag, Wien-Würzburg 1964. Zbl 0146.38701, MR 0177801 |
| Reference:
|
[2] J. F. C. Kingman: The effect of queue discipline on waiting time variance.Proceed. Cambridge Phil. Soc., 58 (1962), 163-164. Zbl 0107.13101, MR 0138137, 10.1017/S0305004100036331 |
| Reference:
|
[3] D. G. Tambouratzis: On a property of the variance of the waiting time of a queue.Journal of Applied Probability, 5 (1968), 702-703. Zbl 0179.47905, MR 0246392, 10.2307/3211932 |
| Reference:
|
[4] O. Vašíček: Poznámka k čekací disciplíně v systémech hromadné obsluhy.Aplikace matematiky, 10 (1965), 423 - 427. MR 0205350 |
| Reference:
|
[5] F. Zítek: Über die Kundenreihenfolge in Bedienungssystemen.Aplikace matematiky, 15 (1970), 356-383. MR 0267667 |
| Reference:
|
[6] F. Zítek: Über die Kundenreihenfolge in Systemen $M/E_r/1$.Aplikace matematiky, 17 (1972), 191-208. MR 0297041 |
| Reference:
|
[7] F. Zítek: Sur l'ordre des clients dans les systèmes d'attente.Proceedings of the Fourth Conference on Probability Theory - Braşov, September 1971. Editura Academiei R. S. R., Bucureşti 1973, 607-619. MR 0405641 |
| Reference:
|
[8] F. Zítek: On a class of queue disciplines.Proceedings of the Fifth Conference on Probability Theory - Braşov, September 1974. (In print.) |
| . |
