scholarly journals On the properties of lexicographic tolerable robust solution sets for uncertain multi-objective optimization problems

2021 ◽  
Vol 37 (3) ◽  
pp. 417-426
Author(s):  
PORNPIMON BORIWAN ◽  
◽  
DAISHI KUROIWA ◽  
NARIN PETROT ◽  
◽  
...  
Keyword(s):  
Water Resources ◽  
Water Resources Management ◽  
Optimization Problems ◽  
Solution Concept ◽  
Multi Objective Optimization ◽  
Robust Solution ◽  
Solution Sets ◽  
Resources Management ◽  
Multi Objective ◽  
The Relationship

This study provides the important properties of the lexicographic tolerable robust solution for uncertain multi-objective optimization problems which was introduced by Boriwan et al. [Boriwan, P.; Ehrgott, M.; Kuroiwa, D.; Petrot, N. The lexicographic tolerable robustness concept for uncertain multi-objective optimization problems: a study on water resources management. Sustainability. 12 (2020), no. 18, article number 7582.]. Also, the relationship between the lexicographic tolerable solution concept and the well-known robust solution, as the set-based robust efficiency [Ehrgott, M.; Ide, J.; Schöbel, A. Minmax robustness for multi-objective optimization problems. Eur. J. Oper. Res. 239 (2014), no. 1, 17–31.], are provided.

scholarly journals On the properties of lexicographic tolerable robust solution sets for uncertain multi-objective optimization problems

2021 ◽  
Vol 38 (1) ◽  
pp. 57-66
Author(s):  
PORNPIMON BORIWAN ◽  
◽  
DAISHI KUROIWA ◽  
NARIN PETROT ◽  
◽  
...  
Keyword(s):  
Water Resources Management ◽  
Operational Research ◽  
Optimization Problems ◽  
Solution Concept ◽  
Multi Objective Optimization ◽  
Robust Solution ◽  
Solution Sets ◽  
Resources Management ◽  
Multi Objective ◽  
The Relationship

This study provides the important properties of the lexicographic tolerable robust solution for uncertain multi-objective optimization problems which was introduced by Boriwan et al. [Boriwan, P.; Ehrgott, M.; Kuroiwa, D.; Petrot, N. The lexicographic tolerable robustness concept for uncertain multi-objective optimization problems: a study on water resources management. Sustainability. 12 (2020), no. 18, article number 7582.]. Also, the relationship between the lexicographic tolerable solution concept and the well-known robust solution, as the set-based robust efficiency [Ehrgott, M.; Ide, J.; Schöbel, A. Minmax robustness for multi-objective optimization problems. European Journal of Operational Research. 239 (2014), no. 1, 17-31.], are provided.

scholarly journals The Lexicographic Tolerable Robustness Concept for Uncertain Multi-Objective Optimization Problems: A Study on Water Resources Management

2020 ◽  
Vol 12 (18) ◽  
pp. 7582
Author(s):  
Pornpimon Boriwan ◽  
Matthias Ehrgott ◽  
Daishi Kuroiwa ◽  
Narin Petrot
Keyword(s):  
Water Resources ◽  
Optimization Problems ◽  
Solution Concept ◽  
Decision Makers ◽  
Practical Implementation ◽  
Multi Objective Optimization ◽  
Robust Solution ◽  
Resources Management ◽  
Multi Objective ◽  
Priority Levels

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.

Valuing hydrological alteration in multi-objective water resources management

2012 ◽  
Vol 472-473 ◽  
pp. 277-286 ◽  
Author(s):  
Simone Bizzi ◽  
Francesca Pianosi ◽  
Rodolfo Soncini-Sessa
Keyword(s):  
Water Resources ◽  
Water Resources Management ◽  
Resources Management ◽  
Multi Objective ◽  
Hydrological Alteration

scholarly journals Usos múltiplos da água por usuários outorgados nas bacias hidrográficas dos Rios Aguapeí e Peixe

2021 ◽  
Vol 14 (4) ◽  
pp. 2172-2185
Author(s):  
Fernanda Buono da Silva ◽  
Timóteo Ramos Queiroz ◽  
Denilson Burkert ◽  
Rodrigo Lilla Manzione
Keyword(s):  
Statistical Analysis ◽  
Water Resources ◽  
Water Resources Management ◽  
Rural Areas ◽  
Descriptive Statistics ◽  
Resources Management ◽  
Multiple Uses ◽  
The Right ◽  
The Relationship ◽  
Water Uses

The growing demand for water resources can generate conflicts between different users. To this end, water resources management instruments were implemented, in particular the granting of the right to use, which prioritize the multiple and rational use of water. The work was carried out with the objective of analyzing the profile and the distribution of water uses granted in relation to socioeconomic aspects in the municipalities that make up the Hydrographic Basins Committee of the Aguapeí and Peixe Rivers (CBH-AP). Grant data from 58 municipalities with which descriptive statistics were analysed and prepared for the discussion on the scenario of the multiple uses of water granted. Subsequently, the data were given to the multiple regression statistical analysis, in which the relationship between the number of grants per municipality and its socioeconomic parameters was analyzed. The results demonstrated the grants in the municipalities that comprise an area covered by the Hydrographic Basins Committee of the Aguapeí and Peixe rivers are mainly related to the use of groundwater in rural areas. In the three municipalities (Bastos, Dracena and Tupã) concentrate 26% of the analyzed grants. The increase in MHDI and population, at the same time, stimulates the growth in the number of grants. Thus, there is a need to implement public policies that collaborate directly or indirectly to increase the regularization of water use.

scholarly journals Proposition of New Metaphor-Less Algorithms for Reservoir Operation

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Vartika Paliwal ◽  
Aniruddha D. Ghare ◽  
Ashwini B. Mirajkar ◽  
Neeraj Dhanraj Bokde ◽  
Zaher Mundher Yaseen
Keyword(s):  
Water Resources ◽  
Water Resources Management ◽  
Reservoir Operation ◽  
Heuristic Algorithms ◽  
Optimization Problems ◽  
Computational Time ◽  
Benchmark Problems ◽  
Operation System ◽  
Resources Management ◽  
Operation Optimization

Based on the current water crisis scenario, effective water resources management can play an essential role. Reservoir operation optimization is part of water resources management. Reservoir operation optimization is difficult as it involves a large number of variables and constraints to achieve this goal. The present study aims at exploring the performance of recently developed heuristic algorithms—Rao algorithms as applied to the reservoir operation studies for the first time. Rao algorithms are metaphor-less algorithms that require only basic parameters—population size and function evaluations. In the present study, Rao algorithms have been applied to two case studies: discrete four-reservoir operation system problem and continuous four-reservoir operation system problem (benchmark problems) for the assessment of their performance vis-à-vis other algorithms from the literature. The results showed that the Rao-1 algorithm provided the optimal solution with the least function evaluations when compared to Rao-2, Rao-3, and other algorithms applied in the past to the same benchmark problem. Consequently, the Rao-1 model is found to be superior to these approaches by taking less computational time. Hence, the Rao-1 algorithm can be considered suitable for application to reservoir operation optimization problems.

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