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On stability of some lexicographic multicriteria Boolean problem

Emelichev V. A., Gurevsky E. E.

Control and Cybernetics

2007

Vol. 36, no 2

333-346

We consider a multicriteria lexicographic Boolean problem of minimizing absolute deviations of linear functions from zero. We investigate the stability radius which can be understood as a limit level of independent perturbations of the parameters, for which new lexicographic optima do not appear. Lower and upper accessible bounds of the stability radius are obtained.

The stability radius of an efficient solution in minimax Boolean programming problem

Emelichev V. A., Krichko V. N., Nikulin Y. V.

Control and Cybernetics

2004

Vol. 33, no 1

127-132

We consider a vector minimax Boolean programming problem. The problem consists in finding the set of Pareto optimal solutions. When the problem's parameters vary then the optimal solution of the problem obtained for some initial parameters may appear non-optimal. We calculate the maximal perturbation of parameters which preseves the Optimality of a given solution of the problem. The formula for the stability radius of the given Pareto optimal solution was obtained.