R2L: Reliable Reinforcement Learning: Guaranteed Return & Reliable Policies in Reinforcement Learning

📄 Abstract

Abstract: In this work, we address the problem of determining reliable policies in reinforcement learning (RL), with a focus on optimization under uncertainty and the need for performance guarantees. While classical RL algorithms aim at maximizing the expected return, many real-world applications - such as routing, resource allocation, or sequential decision-making under risk - require strategies that ensure not only high average performance but also a guaranteed probability of success. To this end, we propose a novel formulation in which the objective is to maximize the probability that the cumulative return exceeds a prescribed threshold. We demonstrate that this reliable RL problem can be reformulated, via a state-augmented representation, into a standard RL problem, thereby allowing the use of existing RL and deep RL algorithms without the need for entirely new algorithmic frameworks. Theoretical results establish the equivalence of the two formulations and show that reliable strategies can be derived by appropriately adapting well-known methods such as Q-learning or Dueling Double DQN. To illustrate the practical relevance of the approach, we consider the problem of reliable routing, where the goal is not to minimize the expected travel time but rather to maximize the probability of reaching the destination within a given time budget. Numerical experiments confirm that the proposed formulation leads to policies that effectively balance efficiency and reliability, highlighting the potential of reliable RL for applications in stochastic and safety-critical environments.