Decomposition results - the true story
نویسندگان
چکیده
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. In particular, this can be done for processes with stationary or stationary and independent increments. It resulted from an attempt to understand these kind of results after having detected an error in the literature of the much discussed G/G/1 queue with multiple server vacations. 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.
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