Open AccessBook
Multiple Criteria Optimization: Theory, Computation, and Application
Reads0
Chats0
TLDR
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.Abstract:
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 Optimal Weighting Vectors, Scaling and Reduced Feasible Region Methods Vector-Maximum Algorithms Goal Programming Filtering and Set Discretization Multiple Objective Linear Fractional Programming Interactive Procedures Interactive Weighted Tchebycheff Procedure Tchebycheff/Weighted-Sums Implementation Applications Future Directions Index.read more
Citations
More filters
Proceedings ArticleDOI
Load balance vs energy efficiency in traffic engineering: A game Theoretical Perspective
TL;DR: This work induces a Nash bargaining framework which treats the two objectives of load balance and energy efficiency as two virtual players in a game theoretic model, who negotiate how traffic should be routed in order to optimize both objectives.
Journal ArticleDOI
Primal-Dual Simplex Method for Multiobjective Linear Programming
TL;DR: In this paper, a primal-dual simplex algorithm for multicriteria linear programming is presented. But the algorithm is based on the scalarization theorem of Pareto optimal solutions of multicritical linear programs.
Journal ArticleDOI
Interactive multiobjective optimization under uncertainty
TL;DR: A general multiobjective algorithm which accommodates uncertainty is proposed which is appropriate for use in a multiple criteria framework with a discrete number of states of nature.
Journal ArticleDOI
Adaptable Robust Design of Multi-Scale Convective Systems Applied to Energy Efficient Data Centers
TL;DR: A design approach is presented to bring adaptability and robustness to multi-scale convective systems through proper orthogonal decomposition-based reduced order thermal modeling, robust design principles, and the compromise decision support problem construct.