Another look into decomposition results

Jevgenijs Ivanovs; Offer Kella

doi:10.1007/s11134-013-9347-9

Another look into decomposition results

Jevgenijs Ivanovs^*, Offer Kella

^*Corresponding author for this work

Department of Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this note, we identify a simple setup from which one may easily infer various decomposition results for queues with interruptions as well as càdlàg processes with certain secondary jump inputs. Special cases are processes with stationary or stationary and independent increments. In the Lévy process case, the decomposition holds not only in the limit but also at independent exponential times, due to the Wiener-Hopf decomposition. A similar statement holds regarding the GI/GI/1 setting with multiple vacations.

Original language	English
Pages (from-to)	19-28
Number of pages	10
Journal	Queueing Systems
Volume	75
Issue number	1
DOIs	https://doi.org/10.1007/s11134-013-9347-9
State	Published - Sep 2013

Bibliographical note

Funding Information:
Acknowledgments Jevgenijs Ivanovs study was supported by the Swiss National Science Foundation Project 200021-124635/1, and Offer Kella study was supported in part by Grant No. 434/09 from the Israel Science Foundation and the Vigevani Chair in Statistics.

Keywords

G/G/1 queue
Lévy process
Random walk
Reflection
Secondary jump input
Server vacations
Wiener-Hopf factorization

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10.1007/s11134-013-9347-9

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Another look into decomposition results

Abstract

Bibliographical note

Keywords

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