Abstract
This chapter presents a unified sample-path approach for deriving distribution- free relations between performance measures for processes with imbedded point processes. We consider processes with a general state space, specializing in the next chapter to a discrete state space. A unique feature of this approach is that all results are shown to follow from the three fundamental relations proved in Chapter 2: Lemma 2.1, the sample-path version of the elementary renewal theorem, and Theorems 2.2 and 2.3, the two sample-path versions of the renewal-reward theorem (Y = λX).KeywordsPoint ProcessQueueing SystemOriginal ProcessGeneral State SpaceReversed VersionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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