Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order | Zendy

Xiaohong Hu | Zendy; L. N. Wang | Zendy

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Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order

Author(s) -

Xiaohong Hu,

L. N. Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/573408

Subject(s) - lexicographical order , mathematics , lagrange multiplier , duality (order theory) , saddle point , multiobjective programming , mathematical optimization , multiplier (economics) , order (exchange) , lagrangian , multi objective optimization , discrete mathematics , combinatorics , geometry , finance , economics , macroeconomics

This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between the lexicographic saddle point and the lexicographic solution to a multiobjective programming problem

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