Sensitivity analysis in multiple objective linear programming: The tolerance approach

1989 ◽  
Vol 38 (1) ◽  
pp. 63-69 ◽  
Author(s):  
Pierre Hansen ◽  
Martine Labbé ◽  
Richard E. Wendell
Keyword(s):  
Sensitivity Analysis ◽  
Linear Programming ◽  
Multiple Objective ◽  
Multiple Objective Linear Programming ◽  
Tolerance Approach

SENSITIVITY ANALYSIS OF WEAK EFFICIENCY IN MULTIPLE OBJECTIVE LINEAR PROGRAMMING

2011 ◽  
Vol 28 (04) ◽  
pp. 445-455 ◽  
Author(s):  
SEBASTIAN SITARZ
Keyword(s):  
Sensitivity Analysis ◽  
Linear Programming ◽  
Extreme Point ◽  
Efficient Solution ◽  
Multiple Objective ◽  
Weak Efficiency ◽  
Multiple Objective Linear Programming ◽  
Weakly Efficient Solution ◽  
Extreme Solutions

This paper, studies the sensitivity analysis of weakly efficient extreme solutions in multiple objective linear programming (MOLP). The aim of the paper is to compute the set of the parameters (corresponding to one coefficient) for which a given extreme point is a weakly efficient solution. We also focus on the properties of the parameters set by proving convexity and closeness of this set. Moreover, we compare the results of the sensitivity analysis of efficiency and of weak efficiency in MOLP.

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