Decomposition results for stochastic storage processes and queues with alternating Lévy inputs

O.J. Boxma, O. Kella

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Abstract

In this paper we generalize known workload decomposition results for Lévy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or more general Lévy inputs. Our main tools are new martingale results, which have been derived in a companion paper. Keywords: Lévy-type processes; Lévy storage systems; Kella–Whitt martingale; Decomposition results; Queues with server vacations
Original languageEnglish
Pages (from-to)97-112
Number of pages16
JournalQueueing Systems: Theory and Applications
Volume77
Issue number1
DOIs
Publication statusPublished - 2014

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