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math.OC2026

Dynamically Augmented CVaR for MDPs

Eugene A. Feinberg, Rui Ding

This paper studies optimization of Conditional Value-at-Risk (CVaR) for Markov Decision Processes (MDPs) with finite state and action sets. It introduces the Dynamically augmented…

math.OC2025

Computing optimal policies for managing inventories with noisy observations

Eugene Feinberg, Jefferson Huang, Pavlo Kasyanov +1

This paper implements the Deep Deterministic Policy Gradient (DDPG) algorithm for computing optimal policies for partially observable single-product periodic review inventory contr…

math.OC2025

Properties of Turnpike Functions for Discounted Finite Markov Decision Processes

Eugene A. Feinberg, Gaojin He

This paper studies convergence times of the Value Iteration Algorithm (VIA) for discounted discrete-time Markov Decision Processes (MDPs) with finite state and action sets. For eac…

math.OC2025

Continuity of Filters for Discrete-Time Control Problems Defined by Explicit Equations

Eugene A. Feinberg, Sayaka Ishizawa, Pavlo O. Kasyanov +1

Discrete time control systems whose dynamics and observations are described by stochastic equations are common in engineering, operations research, health care, and economics. For…

math.OC2025

Average-Cost MDPs with Infinite State and Action Sets: New Sufficient Conditions for Optimality Inequalities and Equations

Eugene A. Feinberg, Pavlo O. Kasyanov, Liliia S. Paliichuk

This paper studies discrete-time average-cost infinite-horizon Markov decision processes (MDPs) with Borel state and action sets. It introduces new sufficient conditions for { the}…