TY - JOUR

T1 - The Lexicographic Tolerable Robustness Concept for Uncertain Multi-Objective Optimization Problems

T2 - A Study on Water Resources Management

AU - Boriwan, Pornpimon

AU - Ehrgott, Matthias

AU - Kuroiwa, Daishi

AU - Petrot, Narin

PY - 2020/9/14

Y1 - 2020/9/14

N2 - In this study, we introduce a robust solution concept for uncertain multi-objective optimization problems called the lexicographic tolerable robust solution. This approach is advantageous for the practical implementation of problems in which the solution should satisfy priority levels in the objective function and the worst performance vector of the solution obtained by the proposed concept is close to a reference point of the considered problem, within an acceptable tolerance threshold. Important properties of the solution sets of this introduced concept as well as an algorithm for finding such solutions are presented and discussed. We provide the implementation of the proposed lexicographic tolerable robust solution to improve understanding for practitioners by relying on the data of the water resources master plan for Serbia from Simonovic, 2009. Moreover, we are also concerned with the method of updating a desirable solution for fitting with the preferences when compromising of the multiple groups of decision makers is needed.

AB - In this study, we introduce a robust solution concept for uncertain multi-objective optimization problems called the lexicographic tolerable robust solution. This approach is advantageous for the practical implementation of problems in which the solution should satisfy priority levels in the objective function and the worst performance vector of the solution obtained by the proposed concept is close to a reference point of the considered problem, within an acceptable tolerance threshold. Important properties of the solution sets of this introduced concept as well as an algorithm for finding such solutions are presented and discussed. We provide the implementation of the proposed lexicographic tolerable robust solution to improve understanding for practitioners by relying on the data of the water resources master plan for Serbia from Simonovic, 2009. Moreover, we are also concerned with the method of updating a desirable solution for fitting with the preferences when compromising of the multiple groups of decision makers is needed.

KW - uncertain multi-objective optimization

KW - robustness concept

KW - minmax robustness

KW - lexicographic tolerable robust

KW - water resources management planning

U2 - 10.3390/su12187582

DO - 10.3390/su12187582

M3 - Journal article

VL - 12

JO - Sustainability

JF - Sustainability

SN - 2071-1050

IS - 18

M1 - 7582

ER -