Correct Approximation of Stationary Distributions.

Meggendorfer, Tobias (2023) Correct Approximation of Stationary Distributions. In: Tools and Algorithms for the Construction and Analysis of Systems - 29th International Conference, TACAS 2023, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022, Proceedings :. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) . Springer, pp. 489-507. ISBN 9783031308222

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Abstract

A classical problem for Markov chains is determining their stationary (or steady-state) distribution. This problem has an equally classical solution based on eigenvectors and linear equation systems. However, this approach does not scale to large instances, and iterative solutions are desirable. It turns out that a naive approach, as used by current model checkers, may yield completely wrong results. We present a new approach, which utilizes recent advances in partial exploration and mean payoff computation to obtain a correct, converging approximation.

Item Type:
Contribution in Book/Report/Proceedings
ID Code:
213829
Deposited By:
Deposited On:
26 Feb 2024 14:35
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 05:25