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: | Shoja N., Tohidi G., Lotfi F. Hosseinzadeh, Jahanshahloo Gholamreza R. |
Keywords: | programming: multiple criteria |
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.