On undiscounted semi-Markov decision processes with absorbing states

Prasenjit Mondal ()
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Prasenjit Mondal: Chandernagore Government College

Mathematical Methods of Operations Research, 2016, vol. 83, issue 2, No 1, 177 pages

Abstract: Abstract Limiting ratio average (undiscounted) reward finite (state and action spaces) semi-Markov decision processes (SMDPs) with absorbing states are considered where all but one states are absorbing. We propose a realistic inspection model that suitably fits into the class of undiscounted SMDPs with absorbing states. Existence of an optimal semi-stationary policy (i.e., a semi-Markov policy independent of decision epoch counts) is proved. A linear programming algorithm is provided to compute such an optimal policy.

Keywords: Semi-Markov decision processes; Limiting ratio average reward criterion; Optimal semi-stationary policies; LP algorithms; 60K15; 60K20 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00186-015-0524-y

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