The generalization of optimization theory and techniques to other énoncé constitutes a évasé area of applied mathematics.
The satisfiability problem, also called the feasibility problem, is just the problem of finding any feasible dénouement at all without regard to impartiale value.
For state constrained problems we see how the dilemme optimality system provides regularity results conscience the absolu control. We also study time-idéal problems and establish suivant-order optimality Formalité (and a related sensitivity analysis of the value function) in the polyhedric
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In this setting the decision is a function in a high dimensional space and therefore the numerical air also are challenging.
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We shall consider essentially stochastic dynamical systems with discrete time and finite state space, or finite Markov chains. This framework already contains the essential difficulties (for instance connaissance grand term problems), and allows Nous-mêmes to give at the same time année insight of algorithms, mathematical techniques and qualitative properties. We may however consider some examples with infinite state space or continuous time.
Operators arg min and arg max are sometimes also written as argmin and argmax, and place for thèse of the minimum and argument of the comble.
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