scholarly journals Reference Point Based Multi-Objective Optimization of Reservoir Operation: a Comparison of Three Algorithms

2020 ◽  
Vol 34 (3) ◽  
pp. 1005-1020 ◽  
Author(s):  
Rong Tang ◽  
Ke Li ◽  
Wei Ding ◽  
Yuntao Wang ◽  
Huicheng Zhou ◽  
...  
Keyword(s):  
Reference Point ◽  
Reservoir Operation ◽  
Multi Objective Optimization ◽  
Multi Objective

ROBUSTNESS OF THE MULTI‐OBJECTIVE MOORA METHOD WITH A TEST FOR THE FACILITIES SECTOR

2009 ◽  
Vol 15 (2) ◽  
pp. 325-375 ◽  
Author(s):  
Willem K. Brauers ◽  
Edmundas K. Zavadskas
Keyword(s):  
Linear Equation ◽  
Reference Point ◽  
Error Term ◽  
Cost Price ◽  
Common Language ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Definition Of ◽  
Moora Method

The definition of robustness in econometrics, the error term in a linear equation, was not only broadened, but in addition moved to the meaning of common language: from a cardinal to a qualitative one. These interpretations were tested by an application on the Facilities Sector in Lithuania. The application is multi‐objective: like costs, experience and effectiveness at the side of the contractors; quality, duration of the work and cost price at the side of the owners. These objectives having all different units the dimensionless ratios of the MOORA method avoids the difficulties of normalization. In a first part of MOORA these ratios were aggregated and in a second one they were used as distances to a reference point. The results of both parts control each other, a test on robustness. Additionally, MOORA shows a robust domination on all other methods of multi‐objective optimization. For the Facilities Sector in Lithuania, both parts of MOORA resulted in a comparable ranking. In this way a double check was made on the robustness of the results. Santrauka Patikimumo apibrėžimas ekonometrikoje, kaip neteisingas terminas tiesinėje lygtyje, buvo ne tik papildytas, bet ir išreikštas įprasta kalba: nuo kiekybinio prie kokybinio. Šios interpretacijos buvo patikrintos taikant jas Lietuvos paslaugų sektoriuje. Taikymas yra daugiatikslis: iš rangovo pusės kaip išlaidos, patirtis, efektyvumas; kokybė, darbo trukmė, kaina iš užsakovo pusės. Minėtieji tikslai turi skirtingus matavimo vienetus. O jų santykiniai dydžiai neturi mato vienetų, todėl taikant MOORA metodą yra išvengiama sunkumų juos normalizuojant. Pirmoje MOORA metodo taikymo dalyje šie santykiai yra sujungiami, o antroje dalyje ieškoma atstumo iki geriausio sprendinio. Abiejų metodo dalių rezultatai pagrindžia sprendinio teisingumą. Tai rodo aiškų MOORA metodo pranašumą, palyginti su kitais daugiatikslio optimizavimo metodais. Taikant abi MOORA metodo dalis Lietuvos paslaugų sektoriui buvo sudarytas lyginamasis rangavimas, buvo atliktas dvigubas rezultatų patikimumo patikrinimas.

On the effect of reference point in MOEA/D for multi-objective optimization

2017 ◽  
Vol 58 ◽  
pp. 25-34 ◽  
Author(s):  
Rui Wang ◽  
Jian Xiong ◽  
Hisao Ishibuchi ◽  
Guohua Wu ◽  
Tao Zhang
Keyword(s):  
Reference Point ◽  
Multi Objective Optimization ◽  
Multi Objective

scholarly journals A parallel multiple reference point approach for multi-objective optimization

2010 ◽  
Vol 205 (2) ◽  
pp. 390-400 ◽  
Author(s):  
J.R. Figueira ◽  
A. Liefooghe ◽  
E.-G. Talbi ◽  
A.P. Wierzbicki
Keyword(s):  
Reference Point ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Multiple Reference ◽  
Reference Point Approach

Improved NSGAII with a New Distribution and its Application in Multi-Objective Reservoir Operation

2011 ◽  
Vol 90-93 ◽  
pp. 2734-2739
Author(s):  
Ruan Yun ◽  
Cui Song Yu
Keyword(s):  
Genetic Algorithms ◽  
Control Strategy ◽  
Reservoir Operation ◽  
Large Scale ◽  
Pareto Front ◽  
Optimization Problem ◽  
Shape Parameter ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
New Distribution

Non-dominated sorting genetic algorithms II (NSGAII) has been widely used for multi- objective optimizations. To overcome its premature shortcoming, an improved NSGAII with a new distribution was proposed in this paper. Comparative to NSGAII, improved NSGAII uses an elitist control strategy to protect its lateral diversity among current non-dominated fronts. To implement elitist control strategy, a new distribution (called dogmatic distribution) was proposed. For ordinary multi-objective optimization problem (MOP), an ordinary exploration ability of improved NSGAII should be maintained by using a larger shape parameter r; while for larger-scale complex MOP, a larger exploration ability of improved NSGAII should be maintained by using a less shape parameter r. The application of improved NSGAII in multi-objective operation of Wohu reservoir shows that improved NSGAII has advantages over NSGAII to get better Pareto front especially for large-scale complex multi-objective reservoir operation problems.

RDS-NSGA-II: a memetic algorithm for reference point based multi-objective optimization

2016 ◽  
Vol 49 (5) ◽  
pp. 828-845 ◽  
Author(s):  
Jesus Alejandro Hernández Mejía ◽  
Oliver Schütze ◽  
Oliver Cuate ◽  
Adriana Lara ◽  
Kalyanmoy Deb
Keyword(s):  
Reference Point ◽  
Memetic Algorithm ◽  
Multi Objective Optimization ◽  
Nsga Ii ◽  
Multi Objective

scholarly journals MULTI-OBJECTIVE OPTIMIZATION FOR FACILITIES MANAGEMENT

2004 ◽  
Vol 5 (4) ◽  
pp. 173-182 ◽  
Author(s):  
Willem K. Brauers
Keyword(s):  
Decision Maker ◽  
Reference Point ◽  
Creative Thinking ◽  
Point Theory ◽  
Facilities Management ◽  
Multi Objective Optimization ◽  
Dimensionless Numbers ◽  
Short Text ◽  
Multi Objective ◽  
Desk Research

The main point of this article is to present in a short text all aspects of Multi ‐ Objective Optimization for Facilities Management, so to say from the cradle until the grave. Additionally, the combination of Multi ‐ Objective Optimization with Nominal Methods and Scenario Writing represents an innovation. It is also stated that all stakeholders interested in the issue, instead of one decision maker, have to be involved. First, desk research will discover all the surrounding conditions of the issue under consideration. Therefore, during a period of creative thinking in a nominal exercise all the main influencing events are recorded and finally ranked. From this information, scenarios for the future of the facilities sector are deduced. On basis of all these data, objectives and alternatives are simulated. A Multi ‐ Objective Optimization for the facilities sector is made possible by two methods: an additive method with ratios and the application of Reference Point Theory. Automatically, using these methods, all objectives are normalized to dimensionless numbers between zero and one. Nevertheless, a problem of importance for each objective may remain. Therefore, two methods are proposed. First, weights are granted in a nonlinear way. Secondly, an objective becomes more important by introducing different attributes for the same objective. The latter method seems to be more refined. In this way, a final ranking of the alternatives for the fulfillment of the objectives is obtained.

scholarly journals HOW TO INVEST IN BELGIAN SHARES BY MULTIMOORA OPTIMIZATION

2013 ◽  
Vol 14 (5) ◽  
pp. 940-956 ◽  
Author(s):  
Willem K. M. Brauers ◽  
Romualdas Ginevičius
Keyword(s):  
Reference Point ◽  
Point Theory ◽  
Multiple Objectives ◽  
Ratio Analysis ◽  
Multi Objective Optimization ◽  
Dimensionless Numbers ◽  
Multi Objective ◽  
Multiplicative Form ◽  
Objective Reference ◽  
Alternative Solutions

Different multiple objectives expressed in different units make optimization difficult. Therefore, the internal mechanical solution of a Ratio System, producing dimensionless numbers, is preferred to weights, which are most of the time used to compare the different units. In addition, the ratio system creates the opportunity to use a second approach: a non-subjective Reference Point Theory. Therefore, the Reference Point Theory uses the ratios found in the ratio system as co-ordinates for the alternative solutions, which are then compared to a Maximal Objective Reference Point. The two approaches form a control on each other. This overall theory is called MOORA (Multi-Objective Optimization by Ratio Analysis). The results are still more convincing if a Full Multiplicative Form is added, three methods assembled under the name of MULTIMOORA. At that moment, the control by three different approaches forms a guaranty for a solution being as non-subjective as possible. As to calculate the sum of three obtained ranks is not allowed, a theory of Ordinal Dominance is developed in order to remain in the ordinal sphere.

Sign in / Sign up

Export Citation Format

Share Document