On the busy period of the modified GI/G/1 queue
- 1 March 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 10 (01) , 192-197
- https://doi.org/10.1017/s0021900200042194
Abstract
Proceeding from duality results for the GI/G/1 queue, this paper obtains the probability of the number served in a busy period of aGI/G/1 system where customers initiating a busy period have a different service time distribution from other customers. Using duality arguments for processes with interchangeable increments, the Laplace transform of the busy period duration is found for a modified GI/M/1 queue.Keywords
This publication has 4 references indexed in Scilit:
- On the algebra of queuesJournal of Applied Probability, 1966
- On the Busy Period of a Single Server Bulk Queue with a Modified Service MechanismCalcutta Statistical Association Bulletin, 1964
- On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional ServiceOperations Research, 1964
- On the busy period in the queueing system GI/G/1Journal of the Australian Mathematical Society, 1961