Sensitivity analysis for Markov reward structures until entrance times

Author:

van Dijk N. M.,Korezlioglu H.

Abstract

This work presents an estimate of the error on a cumulative reward function until the entrance time of a continuous-time Markov chain into a set, when the infinitesimal generator of this chain is perturbed. The derivation of an error bound constitutes the first part of the paper while the second part deals with an application where the time until saturation is considered for a circuit switched network which starts from an empty state and which is also subject to possible failures.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference30 articles.

1. Perturbation analysis and Malliavin calculus;Decreusefond;Ann. Appl. Prob.,1998

2. The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities

3. [14] Grassmann W. (1990). Finding transient solutions in Markovian event systems through randomization. In Proc. 1st Int. Conf. on Numerical Solutions of Markov Chains, Raleigh, pp. 375–395.

4. Transient error bound analysis for continuous-time Markov reward structures

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