Minimax problem for quasilinear complex systems with independent priorities of cutting process during the initial stage of operation
From the recent results of I.V. Pavlov, S.I. Uglich and N.P. Krasiy it follows the existence and uniqueness of a local (and global) maximum of the objective function of some complex system of the quasilinear type with independent priorities, and these maxima are functions of a finite number of the positive parameters. In the present work, the problem of minimizing these maxima in the domain of the parameters' definition is solved. In particular, an exact solution of the minimax problem for constant priorities is given.