Journal ArticleDOI
The weighted sum method for multi-objective optimization: new insights
TLDR
This paper investigates the fundamental significance of the weights in terms of preferences, the Pareto optimal set, and objective-function values and determines the factors that dictate which solution point results from a particular set of weights.Abstract:
As a common concept in multi-objective optimization, minimizing a weighted sum constitutes an independent method as well as a component of other methods. Consequently, insight into characteristics of the weighted sum method has far reaching implications. However, despite the many published applications for this method and the literature addressing its pitfalls with respect to depicting the Pareto optimal set, there is little comprehensive discussion concerning the conceptual significance of the weights and techniques for maximizing the effectiveness of the method with respect to a priori articulation of preferences. Thus, in this paper, we investigate the fundamental significance of the weights in terms of preferences, the Pareto optimal set, and objective-function values. We determine the factors that dictate which solution point results from a particular set of weights. Fundamental deficiencies are identified in terms of a priori articulation of preferences, and guidelines are provided to help avoid blind use of the method.read more
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Proceedings ArticleDOI
Decision Analysis for Long-term and Short-term Production Optimization Applied to the Voador Field
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Solving multi-objective optimization problems in conservation with the reference point method.
Yann Dujardin,Iadine Chadès +1 more
TL;DR: Reference point approaches as discussed by the authors solve multi-objective optimization problems by interactively representing the preferences of the decision-maker with a point in the criteria (objectives) space, called the reference point.
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Multiobjective fuzzy vehicle routing using Twitter data: Reimagining the delivery of essential goods
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Resource‐efficient load‐balancing framework for cloud data center networks
TL;DR: A novel load‐balancing framework that utilizes a modified genetic algorithm for realizing the optimal allocation of virtual machines (VMs) over physical machines with the objective of minimizing the operational cost of data centers through improved resource utilization.
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Multi-objective bike-way network design problem with space–time accessibility constraint
Siying Zhu,Feng Zhu +1 more
TL;DR: This paper investigates a bike-way network design problem for retrofitting existing cycling infrastructure for commuter cyclists and formulation of a multi-objective integer linear programming model to maximize the accessibility, minimize the number of intersections, maximize bicycle level of service, and minimize total construction cost subject to space–time constraint and monetary budget.
References
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Journal ArticleDOI
A Scaling Method for Priorities in Hierarchical Structures
TL;DR: A method of scaling ratios using the principal eigenvector of a positive pairwise comparison matrix is investigated, showing that λmax = n is a necessary and sufficient condition for consistency.
Book
Nonlinear Multiobjective Optimization
TL;DR: This paper is concerned with the development of methods for dealing with the role of symbols in the interpretation of semantics.
Journal ArticleDOI
Survey of multi-objective optimization methods for engineering
R.T. Marler,Jasbir S. Arora +1 more
TL;DR: A survey of current continuous nonlinear multi-objective optimization concepts and methods finds that no single approach is superior and depends on the type of information provided in the problem, the user's preferences, the solution requirements, and the availability of software.
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.
Book
Multiple Objective Decision Making ― Methods and Applications: A State-of-the-Art Survey
Ching-Lai Hwang,Kwangsun Yoon +1 more
TL;DR: On MADM Methods Classification.