Journal ArticleDOI
Solving generalized goal programming problems using a visual interactive approach
Pekka Korhonen,Jukka Laakso +1 more
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How generalized goal programming problems can be solved using the Visual Interactive Approach (Korhonen and Laakso, 1986) and how this approach can be implemented using any standard linear optimization package with a parametric optimization routine.About:
This article is published in European Journal of Operational Research.The article was published on 1986-09-01. It has received 66 citations till now. The article focuses on the topics: Goal programming & Computer graphics.read more
Citations
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Journal ArticleDOI
A pareto race
Pekka Korhonen,Jyrki Wallenius +1 more
TL;DR: A dynamic and visual “free‐search” type of interactive procedure for multiple‐objective linear programming that enables a decision maker to freely search any part of the efficient frontier by controlling the speed and direction of motion.
Journal ArticleDOI
On scalarizing functions in multiobjective optimization
Kaisa Miettinen,Marko M. Mäkelä +1 more
TL;DR: A collection of scalarizing functions that have been used in interactive methods as well as some modifications are presented and their theoretical properties and numerical behaviour are compared.
Journal ArticleDOI
Interactive multiple objective optimization: survey l—continuous case
Wan S. Shin,A. Ravindran +1 more
TL;DR: The interactive methods developed for solving continuous multiple objective optimization problems and their applications are surveyed, based on the nature of preference assessments, functional assumptions and relationships between the methods.
Journal ArticleDOI
The ‘Light Beam Search’ approach – an overview of methodology applications
TL;DR: The paper describes applications of the LBS approach to several real life problems and discusses observations made while working on these problems.
Proceedings ArticleDOI
Interactive evolutionary multi-objective optimization and decision-making using reference direction method
Kalyanmoy Deb,Abhishek Kumar +1 more
TL;DR: The concept of reference direction approach from the multi-criterion decision-making literature is borrowed and combined with an EMOprocedure to develop an algorithm for finding a single preferred solution in a multi-objective optimization scenario efficiently.
References
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Book
Management Models and Industrial Applications of Linear Programming
TL;DR: In place of a survey or evaluation of industrial studies, two broad issues which are relevant to all such applications will be discussed, including the use of linear programming models as guides to data collection and analysis and prognosis of fruitful areas of additional research, especially those which appear to have been opened by industrial applications.
The Use of Reference Objectives in Multiobjective Optimization - Theoretical Implications and Practical Experience
TL;DR: Any point in the objective space can be used instead of weighting coefficients to derive scalarizing functions which have minima at Pareto points only, and entire basic theory of multiobjective optimization can be developed with the help of reference objectives.
Journal ArticleDOI
Interactive approach for multi-criterion optimization, with an application to the operation of an academic department.
TL;DR: An interactive mathematical programming approach to multi-criterion optimization is developed, and then illustrated by an application to the aggregated operating problem of an academic department.
Book ChapterDOI
The Use of Reference Objectives in Multiobjective Optimization
TL;DR: Reference objectives are very practical means for solving a number of problems such as Paretooptimality testing, scanning the set of Pare-to-optimal solutions, computer-man interactive solving of multi-objective problems, group assessment of solutions of multiobjective optimization or cooperative game problems, or solving dynamic multiobjectivity optimization problems as discussed by the authors.