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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1997 Volume 42, Issue 1, Pages 108–133 (Mi tvp1715)

This article is cited in 24 papers

A controlled jump discounted model with constraints

A. B. Piunovskiy

Institute for Physico-Technical Problems, Moscow

Abstract: In the problem under consideration the given functionals of the trajectories must satisfy a system of inequalities. As usual, a construction of control strategy is required to ensure attainment of the extremal value of the criterion.
The paper provides an investigation of the space of strategy measures; necessary and sufficient optimality conditions are obtained, an algorithm of constructing optimal strategy for the Markovian case is developed, and an informative exactly solved example is given.

Keywords: optimal control, jump stochastic processes, functional constraints, convex programming, queueing theory.

Received: 04.07.1994

DOI: 10.4213/tvp1715


 English version:
Theory of Probability and its Applications, 1998, 42:1, 51–72

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