A MODIFIED METHOD TO DETERMINE A WELL-DISPERSED SUBSET OF NON-DOMINATED VECTORS OF AN MOMILP PROBLEM

Subject Areas : International Journal of Mathematical Modelling & Computations

Ghasem Tohidi ¹ , Shabnam Razavyan ²

1 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of
2 -

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: L1−norm, Multi-objective mixed integer linear programming (MOMILP) problem, well-dispersed non-dominated vectors,

Abstract :

This paper uses the L1−norm and the concept of the non-dominated vector, topropose a method to find a well-dispersed subset of non-dominated (WDSND) vectorsof a multi-objective mixed integer linear programming (MOMILP) problem.The proposed method generalizes the proposed approach by Tohidi and Razavyan[Tohidi G., S. Razavyan (2014), determining a well-dispersed subset of non-dominatedvectors of multi-objective integer linear programming problem, International Journalof Industrial Mathematics, (Accepted for publication)] to find a WDSND vectors of anMOMILP problem.