[Stability of the optimal solution to the problem of determining optimal physicotechnical irradiation conditions]

The problem of determination of optimum physical and technical plans of irradiation often amounts to the problems of linear programming. To solve such a problem, it is necessary to calculate a matrix of conditions (dose rate in the system of distributed control points in the body during irradiation in different present directions). The purpose was to study the influence of errors of the calculation of dose rates upon the optimum irradiation plans. It has been established that though the task of determining optimum plans is a correct one, convergence of the solution of a disturbed problem to an initial one occurs extremely slowly. The optimum values of the functionals of a disturbed problem converge more rapidly to the functional of an initial problem. The comparison of optimum irradiation plans or optimum and traditional irradiation plans seems difficult. To compare different irradiation plans, it is more convenient to use the values of a specific function (optimum criteria).