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Mohagheghi, Mohammadsadegh. (1404). Upper bound of Policies for Statistical Model Checking of Markov Decision Processes. پژوهشنامه مدیریت اجرایی, 3(1), 31-40. doi: 10.22080/cste.2025.28924.1025
Mohammadsadegh Mohagheghi. "Upper bound of Policies for Statistical Model Checking of Markov Decision Processes". پژوهشنامه مدیریت اجرایی, 3, 1, 1404, 31-40. doi: 10.22080/cste.2025.28924.1025
Mohagheghi, Mohammadsadegh. (1404). 'Upper bound of Policies for Statistical Model Checking of Markov Decision Processes', پژوهشنامه مدیریت اجرایی, 3(1), pp. 31-40. doi: 10.22080/cste.2025.28924.1025
Mohagheghi, Mohammadsadegh. Upper bound of Policies for Statistical Model Checking of Markov Decision Processes. پژوهشنامه مدیریت اجرایی, 1404; 3(1): 31-40. doi: 10.22080/cste.2025.28924.1025

Upper bound of Policies for Statistical Model Checking of Markov Decision Processes

Contributions of Science and Technology for Engineering
مقاله 4، دوره 3، شماره 1، اردیبهشت 2026، صفحه 31-40    اصل مقاله (706.35 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22080/cste.2025.28924.1025
نویسنده
Mohammadsadegh Mohagheghi*
Vali-e-Asr University of Rafsanjan
تاریخ دریافت: 14 فروردین 1404،  تاریخ بازنگری: 10 مرداد 1404،  تاریخ پذیرش: 07 مهر 1404 
چکیده
State explosion is a predominant challenge of model checking in all variants. Statistical model checking (SMC) is proposed to tackle this problem, which leads to promising results in most cases. Computing near-optimal policies for resolving non-deterministic choices is the main obstacle for applying SMC in the verification of Markov decision processes (MDPs). Although several solutions are available to cope with this problem they mainly suffer from memory limitation or non-accurate results with the given confidence level. In this paper, we define a criterion for the fitness of policies. We propose a novel method that provides an upper-bound for the number of policies needed to guarantee the precision of computed values with the desired level of confidence. The proposed criterion relies on statistical analysis on a set of randomly generated policies. It considers the mean and expected values of the computed reachability probabilities for the states of the model to determine an appropriate upper bound for the number of policies. We run a set of experiments for the proposed method.
کلیدواژه‌ها
Formal Verification؛ Markov Decision Process؛ Statistical Model Checking؛ Confidence Interval
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