Abstract:
A discrete-continuous extremal problem of route optimization with constraints in the form of precedence conditions is considered. A version of the dynamic programming method is constructed which includes a procedure for determining the Bellman function and the realization of the quasioptimal solution in the form of a route-path couple. The first component of this couple (i.e. the route) consists in indices commutation for a given set of multifunctions, and the second one (the path) is a cortege of points in the sections of multivalued maps indexed according to the route.
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