| Abstract: | The article is devoted to the problem of finding an optimal schedule for a class of functionals ƒ which allows for the existence of a structural set of activities. The functionalƒ(R), where , is defined in the following way: where { i(t)} is a structural set of functions, and the function F is defined on any finite set of arguments and satisfies the following conditions: 1)F(x)= (x); 2) F(x1,x2)= (x1,x2), F(x1,x2,...x3)= (x1, F(x2,...,xs)), S 2; 3) and do not decrease in each of their arguments, and moreover, 3a) strictly increases with the increase of both arguments, 3b) if (x 1,x2)>(x1, x2 (x 2, x3)> (x2,x3), then F(x1,x2,x3)>F(x1,x2,x3).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 124, pp. 5–20, 1983. |
