TY - JFULL AU - Yury Nikulin PY - 2009/6/ TI - Stability Analysis for a Multicriteria Problem with Linear Criteria and Parameterized Principle of Optimality “from Lexicographic to Slater“ T2 - International Journal of Mathematical and Computational Sciences SP - 298 EP - 303 VL - 3 SN - 1307-6892 UR - https://publications.waset.org/pdf/7443 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 29, 2009 N2 - A multicriteria linear programming problem with integer variables and parameterized optimality principle "from lexicographic to Slater" is considered. A situation in which initial coefficients of penalty cost functions are not fixed but may be potentially a subject to variations is studied. For any efficient solution, appropriate measures of the quality are introduced which incorporate information about variations of penalty cost function coefficients. These measures correspond to the so-called stability and accuracy functions defined earlier for efficient solutions of a generic multicriteria combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties of such functions are studied and maximum norms of perturbations for which an efficient solution preserves the property of being efficient are calculated. ER -