Journal ArticleDOI
A pareto race
Pekka Korhonen,Jyrki Wallenius +1 more
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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.Abstract:
A dynamic and visual “free-search” type of interactive procedure for multiple-objective linear programming is presented. The method enables a decision maker to freely search any part of the efficient frontier by controlling the speed and direction of motion. The objective function values are represented in numeric form and as bar graphs on a display. The method is implemented on an IBM PC/1 microcomputer and is illustrated using a multiple-objective linear-programming model for managing disposal of sewage sludge in the New York Bight. Some other applications are also briefly discussed.read more
Citations
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Journal ArticleDOI
Multiple Criteria Decision Making, Multiattribute Utility Theory: The Next Ten Years
TL;DR: In this paper, the history of MCDM and MAUT is discussed and topics are discussed for their continued development and usefulness to management science over the next decade, identifying exciting directions and promising areas for future research.
Journal ArticleDOI
The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach
TL;DR: A mathematical way to measure inconsistency is presented so that the outlying judgments may be revised by the decision maker in an acceptable way or a decision may be delayed until more consistent information is obtained.
Journal ArticleDOI
A preference-based evolutionary algorithm for multi-objective optimization
TL;DR: A preference-based evolutionary approach that can be used as an integral part of an interactive algorithm that does not have to be generated with equal accuracy is proposed.
Journal ArticleDOI
A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis
TL;DR: In this article, the authors developed a procedure and the requisite theory for incorporating preference information in a novel way in the efficiency analysis of decision making units, which is defined in the spirit of Data Envelopment Analysis (DEA), complemented with decision maker's preference information concerning the desirable structure of inputs and outputs.
Journal ArticleDOI
Multi‐criteria decision aid in financial decision making: methodologies and literature review
TL;DR: In this paper, the authors provide an in-depth presentation of the contributions of Multi-Criteria Decision Aid (MCDA) in the field of finance, focusing on the methods used and their real-world applications.
References
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Book
Multiple Criteria Optimization: Theory, Computation, and Application
TL;DR: Mathematical Background Topics from Linear Algebra Single Objective Linear Programming Determining all Alternative Optima Comments about Objective Row Parametric Programming Utility Functions, Nondominated Criterion Vectors and Efficient Points Point Estimate Weighted-sums Approach.
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.
Journal ArticleDOI
An interactive weighted Tchebycheff procedure for multiple objective programming
Ralph E. Steuer,Eng Ung Choo +1 more
TL;DR: The procedure samples the efficient set by computing the nondominated criterion vector that is closest to an ideal criterion vector according to a randomly weighted Tchebycheff metric.