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Zbl 1015.60079
Limic, Vlada
A LIFO queue in heavy traffic. (English)
[J] Ann. Appl. Probab. 11, No.2, 301-331 (2001). ISSN 1050-5164

The author analyzes the heavy-traffic behaviour of an M/G/1 last-in-first-out preemptive resume queue using measure-valued processes developed by {\it J.-F. Le Gall} and {\it Y. Le Jan} [Ann. Probab. 26, No.~4, 1407-1432 (1998; Zbl 0945.60090)]. This approach captures all the relevant information about evolution of the queue. The heavy-traffic diffusion approximation for the residual services measure and queue-length process are derived.
[P.R.Parthasarathy (Chennai)]

MSC 2000:: *60K25 Queueing theory
90B22 Queues and service
60J80 Branching processes

Keywords: LIFO queue; heavy traffic; measure-valued process

Citations: Zbl 0945.60090

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