Conditional Value-at-Risk for Random Immediate Reward Variables in Markov Decision Processes

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DOI: 10.4236/ajcm.2011.13021   PDF   HTML     4,046 Downloads   8,091 Views   Citations

Abstract

We consider risk minimization problems for Markov decision processes. From a standpoint of making the risk of random reward variable at each time as small as possible, a risk measure is introduced using conditional value-at-risk for random immediate reward variables in Markov decision processes, under whose risk measure criteria the risk-optimal policies are characterized by the optimality equations for the discounted or average case. As an application, the inventory models are considered.

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M. Kageyama, T. Fujii, K. Kanefuji and H. Tsubaki, "Conditional Value-at-Risk for Random Immediate Reward Variables in Markov Decision Processes," American Journal of Computational Mathematics, Vol. 1 No. 3, 2011, pp. 183-188. doi: 10.4236/ajcm.2011.13021.

Conflicts of Interest

The authors declare no conflicts of interest.

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