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- Title
Another look into decomposition results.
- Authors
Ivanovs, Jevgenijs; Kella, Offer
- 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.
- Subjects
QUEUEING networks; WIENER-Hopf equations; LEVY processes; BANKRUPTCY prevention; DECOMPOSITION method
- Publication
Queueing Systems, 2013, Vol 75, Issue 1, p19
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-013-9347-9