Some bounds for many-server systems GI/G/s
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 5 (2) , 117-129
- https://doi.org/10.1080/02331887408801152
Abstract
In the paper some bounds are proved for the mean waising time in reany server queues, especially in M/G/s queues which are more precise than those of KINGMAL and BRUMELLE. For M/G/s queues bounds are given for the probility that an arriving customor has to loss probility in G/M/s loss systems using a semi-ordering relation.Keywords
This publication has 9 references indexed in Scilit:
- Monotonieeigenschaften stochastischer ModelleZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1972
- Einführung' in die BedienungstheoriePublished by Walter de Gruyter GmbH ,1971
- Some Inequalities for Parallel-Server QueuesOperations Research, 1971
- Inequalities in the Theory of QueuesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1970
- On Erlang's FormulaThe Annals of Mathematical Statistics, 1969
- Monotonieeigenschaften der Kundenwartezeiten im Modell GI/G/1ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1969
- Some Inequalities in QueuingOperations Research, 1968
- Two-Sided Inequalities for Waiting Time and Queue Size Distributions in $GI/G/1$Theory of Probability and Its Applications, 1968
- Some inequalities for the queue GI/G/1Biometrika, 1962