2020/03/11 by Yacine Chaiblaine, Chaiblaine, Yacine, Mustapha Moulaï +3
Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fuzzy Systems and Optimization #Optimization and Control (math.OC) #Optimization and Mathematical Programming
paper · pdf · doi:10.48550/arxiv.2003.05364
openalex publication_date 2020/03/11 · openalex created_date 2020/03/23 · openalex updated_date 2026/07/28
In this paper, an exact method is proposed to optimize two fractional linear functions over the efficient set of a fractional multiobjective linear problem (MOILFP). This type of problems is encountered when there are two decision makers and each has his own utility function that he wants to optimize over the efficient set of multiobjective problem. The proposed method uses Branch and Bound method combined with a cutting plane technique to find the efficient solutions for both utility functions and (MOILFP) without going through all the efficient solutions of the two problems. An illustrative example and a computational study are reported.