Process / pipelineSimulation / optimization

Robust Markov Model — Markov chain analysis under transition probability uncertainty

A Robust Markov Model applies robustness principles to Markov chains by replacing single-point transition probabilities with uncertainty sets, then optimizing against the worst-case realization. Originally developed for robust Markov decision processes in operations research, it is used wherever transition rates are estimated with noise or are subject to adversarial variation, ensuring decisions remain safe across the full uncertainty range.

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Sources

  1. Nilim, A., El Ghaoui, L. (2005). Robust control of Markov decision processes with uncertain transition matrices. Operations Research, 53(5), 780-798. DOI: 10.1287/opre.1050.0216
  2. Iyengar, G. N. (2005). Robust dynamic programming. Mathematics of Operations Research, 30(2), 257-280. DOI: 10.1287/moor.1040.0129

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Referenced by

ScholarGateRobust Markov Model (Robust Markov Model — Markov chain analysis under transition probability uncertainty). Retrieved 2026-06-04 from https://scholargate.app/tr/simulation/robust-markov-model