A method for generating all efficient solutions of 0–1 multi-objective linear programming problem

A method for generating all efficient solutions of 0–1 multi-objective linear programming problem

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Article ID: iaor2007944
Country: Netherlands
Volume: 169
Issue: 2
Start Page Number: 874
End Page Number: 886
Publication Date: Oct 2005
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: programming: multiple criteria
Abstract:

In this paper, a method is proposed to find all efficient solutions of 0–1 multi-objective linear programming (MOLP) problem. These solutions are specified without generating all feasible solutions. Corresponding to a feasible solution of 0–1 MOLP problem, a vector is constructed in which its components are the values of objective functions. The method consists of a one-stage algorithm. In each iteration of this algorithm, for obtaining some efficient solutions of 0–1 MOLP problem, a 0–1 single objective linear programming problem is solved.

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