Optimal Customer Return Rate for an M/M/1 Queueing System with Retrials
- 1 October 1994
- journal article
- research article
- Published by Cambridge University Press (CUP) in Probability in the Engineering and Informational Sciences
- Vol. 8 (4) , 521-539
- https://doi.org/10.1017/s0269964800003600
Abstract
The zero capacity M/M/1 queue with returning customers is examined. Performance measures are calculated and an imposed optimal return rate is determined for customers who return until served. The optimal rate is then calculated for an arbitrary customer as a function of the return rate of the other customers, and limiting cases are analyzed. The other customers may then adjust their return rate each time the arbitrary customer adjusts his/hers until a fixed point solution is obtained. A comparison between systems is made.Keywords
This publication has 12 references indexed in Scilit:
- Optimal control of the service rate of an exponential queuing network using Markov decision theoryInternational Journal of Systems Science, 1990
- Optimal Incentive-Compatible Priority Pricing for the M/M/1 QueueOperations Research, 1990
- Retrial queues with server subject to breakdowns and repairsQueueing Systems, 1990
- A survey of retrial queuesQueueing Systems, 1990
- M/G/1 queueing systems with returning customersJournal of Applied Probability, 1989
- Poisson Arrivals See Time AveragesOperations Research, 1982
- New results in the theory of repeated orders queueing systemsJournal of Applied Probability, 1979
- Aggregate arrival of customers in a one-line system with repeated callsUkrainian Mathematical Journal, 1977
- A Service System with Unfilled Requests RepeatedOperations Research, 1968
- A Proof for the Queuing Formula: L = λWOperations Research, 1961