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20232025
most citedA Counterexample and a Corrective to the Vector Extension of the Bellman Equations of a Markov Decision Process

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math.OC2025

Linear programming for finite-horizon vector-valued Markov decision processes

Anas Mifrani, Dominikus Noll

We propose a vector linear programming formulation for a non-stationary, finite-horizon Markov decision process with vector-valued rewards. Pareto efficient policies are shown to c…

math.OC2025

Proof of Soland's conjecture on the efficient solutions to a multicriteria optimization problem

Anas Mifrani

This note proves Richard M. Soland's conjecture that given an efficient solution to a multicriteria optimization problem, there need not exist a continuous, strictly increasing and…