M/G/1 queueing systems with returning customers
- 1 March 1989
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 26 (1) , 152-163
- https://doi.org/10.2307/3214325
Abstract
Single-channel queues with Poisson arrivals, general service distributions, and no queue capacity are studied. A customer who finds the server busy either leaves the system for ever or may return to try again after an exponentially distributed time. Steady-state probabilities are approximated and bounded in two different ways. We characterize the service distribution by its Laplace transform, and use this characterization to determine the better method of approximation.Keywords
This publication has 2 references indexed in Scilit:
- An upper bound on the performance of queues with returning customersJournal of Applied Probability, 1987
- A Service System with Unfilled Requests RepeatedOperations Research, 1968