%0 Conference Paper %A Patrinos, Panagiotis %A Sarimveis, Haralambos %B 16th IFAC World Congress %C Prague, Czech Republic %D 2005 %F eprints:1035 %T An RBF based neuro-dynamic approach for the control of stochastic dynamic systems %U http://eprints.imtlucca.it/1035/ %X This paper presents a neuro-dynamic programming methodology for the control of markov decision processes. The proposed method can be considered as a variant of the optimistic policy iteration, where radial basis function (RBF) networks are employed as a compact representation of the cost-to-go function and the ॕ-LSPE is used for policy evaluation. We also emphasize the reformulation of the Bellman equation around the post-decision state in order to circumvent the calculation of the expectation. The proposed algorithm is applied to a retailer-inventory management problem.