scholarly journals A LP Relaxation based Matheuristic for Multi-objective Integer Programming

2021 ◽  
Author(s):  
Duleabom An ◽  
Sophie Parragh ◽  
Markus Sinnl ◽  
Fabien Tricoire
Keyword(s):  
Integer Programming ◽  
Multi Objective ◽  
Lp Relaxation

Solving the multi-objective stochastic interval-valued linear fractional integer programming problem

2021 ◽  
pp. 2250022
Author(s):  
Leila Younsi-Abbaci ◽  
Mustapha Moulaï
Keyword(s):  
Integer Programming ◽  
Programming Problem ◽  
Probabilistic Constraints ◽  
Chance Constrained Programming ◽  
Integer Programming Problem ◽  
Objective Functions ◽  
Programming Technique ◽  
Multi Objective ◽  
Weighted Sum Method ◽  
Interval Valued

In this paper, we consider a Multi-Objective Stochastic Interval-Valued Linear Fractional Integer Programming problem (MOSIVLFIP). We especially deal with a multi-objective stochastic fractional problem involving an inequality type of constraints, where all quantities on the right side are log-normal random variables, and the objective functions coefficients are fractional intervals. The proposed solving procedure is divided in three steps. In the first one, the probabilistic constraints are converted into deterministic ones by using the chance constrained programming technique. Then, the second step consists of transforming the studied problem objectives on an optimization problem with an interval-valued objective functions. Finally, by introducing the concept of weighted sum method, the equivalent converted problem obtained from the two first steps is transformed into a single objective deterministic fractional problem. The effectiveness of the proposed procedure is illustrated through a numerical example.

Fuzzy Bi-Level Multi-Objective Fractional Integer Programming

2014 ◽  
Vol 8 (6) ◽  
pp. 2857-2863 ◽  
Author(s):  
E. A. Youness ◽  
O. E. Emam ◽  
M. S. Hafez
Keyword(s):  
Integer Programming ◽  
Multi Objective
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