Stability radius of an efficient solution of a vector problem of integer linear programming in the Goelder metric

A vector (multicriterion) problem of integer linear programming is considered on a finite set of feasible solutions. A metric l(p), 1 , p , !, is defined on the parameter space of the problem. A formula of the maximum permissible level of perturbations is obtained for the parameters that preserve the efficiency (Pareto optimality) of a given solution. Necessary and sufficient conditions of two types of stability of the problem are obtained as corollaries.