Equilibrium analysis of Markov regenerative processes

Abstract: We present a solution to compute equilibrium probability density functions (PDFs) for the continuous component of the state in Markov regenerative processes, a class of non-Markovian processes. Equilibrium PDFs are derived as closed-form analytical expressions by applying the Key Renewal Theorem to stochastic state classes computed between regenerations. The solution, evaluated experimentally through the development of an analysis tool, provides the basis to analyze system properties from the equilibrium.

Proceedings of QEST, pp. 172-187, Springer, 2023
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