Control of inventories under non-convex polynomial cost functions.

Hernández Flórez, Mónica

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(s,S)-type policy for a production inventory problem with limited backlogging and with stockouts

Ryszarda Rempała (1997)

Applicationes Mathematicae

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A production inventory problem with limited backlogging and with stockouts is described in a discrete time, stochastic optimal control framework with finite horizon. It is proved by dynamic programming methods that an optimal policy is of (s,S)-type. This means that in every period the policy is completely determined by two fixed levels of the stochastic inventory process considered.

Optimal control of an inventory system with ameliorating and deteriorating items.

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Three different operations research models for the same $(s, S)$ policy.

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PDI&PDE-constrained optimization problems with curvilinear functional quotients as objective vectors.

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On localizing global Pareto solutions in a given convex set

Agnieszka Drwalewska, Lesław Gajek (1999)

Applicationes Mathematicae

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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...