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Determination of Solvability Boundaries of Optimization Problems in Parameter Space

This paper is devoted to the determination of parameter values of optimization problems for which they are solvable. In relation to this, the concept of monotone solvability with respect to parameter is essentially used. The procedure of construction of solvability boundaries in parameter space is realized, and it is essentially reduced to decipher the monotone function. This procedure is used for the consideration of a dynamic model of simulative control of the geological-prospecting process (the resource allocation between stages of geological-prospecting work). On the basis of this procedure using the standard package of linear programming, the complex program of decision-making for personal computers compatible with IBM XT/AT is implemented.