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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11030

Title: Busy period, virtual waiting time and number of customers in G (delta)
Authors: Kadankov, Victor
Issue Date: 2010
Publisher: SPRINGER
Citation: QUEUEING SYSTEMS, 65(2). p. 175-209
Abstract: In this article, we determine the integral transforms of several two-boundary functionals for a difference of a compound Poisson process and a compound renewal process. Another part of the article is devoted to studying the above-mentioned process reflected at its infimum. We use the results obtained to study a G (delta)
(I degrees)
system with batch arrivals and finite buffer in the case when delta similar to ge(lambda). We derive the distributions of the main characteristics of the queuing system, such as the busy period, the time of the first loss of a customer, the number of customers in the system, the virtual waiting time in transient and stationary regimes. The advantage is that these results are given in a closed form, namely, in terms of the resolvent sequences of the process.
Notes: [Kadankov, Victor] Ukrainian Natl Acad Sci, Inst Math, UA-01601 Kiev 4, Ukraine. [Kadankova, Tetyana] Hasselt Univ, Ctr Stat, B-3590 Diepenbeek, Belgium. kadankov@voliacable.com; tetyana.kadankova@uhasselt.be
URI: http://hdl.handle.net/1942/11030
DOI: 10.1007/s11134-010-9170-5
ISI #: 000277182200004
ISSN: 0257-0130
Category: A1
Type: Journal Contribution
Validation: ecoom, 2011
Appears in Collections: Research publications

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