Asynchronous Stochastic Approximation and Q-Learning
Machine Learning
A one-measurement form of simultaneous perturbation stochastic approximation
Automatica (Journal of IFAC)
Between MDPs and semi-MDPs: a framework for temporal abstraction in reinforcement learning
Artificial Intelligence
Actor-Critic--Type Learning Algorithms for Markov Decision Processes
SIAM Journal on Control and Optimization
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Hierarchical control and learning for markov decision processes
Hierarchical control and learning for markov decision processes
SIAM Journal on Control and Optimization
Reinforcement Learning: A Tutorial Survey and Recent Advances
INFORMS Journal on Computing
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We consider the problem of control of hierarchical Markov decision processes and develop a simulation based two-timescale actor-critic algorithm in a general framework. We also develop certain approximation algorithms that require less computation and satisfy a performance bound. One of the approximation algorithms is a three-timescale actor-critic algorithm while the other is a two-timescale algorithm, however, which operates in two separate stages. All our algorithms recursively update randomized policies using the simultaneous perturbation stochastic approximation (SPSA) methodology. We briefly present the convergence analysis of our algorithms. We then present numerical experiments on a problem of production planning in semiconductor fabs on which we compare the performance of all algorithms together with policy iteration. Algorithms based on certain Hadamard matrix based deterministic perturbations are found to show the best results.