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Multiple Criteria Optimization: Theory, Computation, and Application
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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
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Journal ArticleDOI
Diversity Maximization Approach for Multiobjective Optimization
Michael Masin,Yossi Bukchin +1 more
TL;DR: A new method for generating the efficient frontier for multiobjective problems is developed, called the diversity maximization approach (DMA), which is capable of solving mixed-integer and combinatorial problems.
Journal ArticleDOI
Interactive physical programming : Tradeoff analysis and decision making in multicriteria optimization
TL;DR: The Physical Programmingi (PP) methodology has been extended to develop an Interactive Physical Programming (IPP) framework which allows for design exploration by the designer or the Decision Maker at a given Pareto design.
Journal ArticleDOI
Theory and Methodology A bicriteria approach to the two-machine flow shop scheduling problem
Serpil Sayin,Selcuk Karabati +1 more
TL;DR: This paper formulate the problem of minimizing makespan and sum of completion times simultaneously in a two-machine flow shop environment as a bicriteria scheduling problem, and develops a branch-and-bound procedure that iteratively solves single objective scheduling problems until the set of efficient solutions is completely enumerated.
Journal ArticleDOI
A fuzzy goal programming method with imprecise goal hierarchy
Onur Aköz,Dobrila Petrovic +1 more
TL;DR: A novel fuzzy goal programming method is proposed, where the hierarchical levels of the goals are imprecisely defined, and the imprecising importance relations among the Goals are modelled using fuzzy relations.
Journal ArticleDOI
Consolidating a warehouse network: a physical programming approach
TL;DR: The proposed PP model enables a decision maker to consider multiple criteria (i.e., cost, customer service and intangible benefits) and to express criteria preferences not in a traditional form of weights, but in ranges of different degrees of desirability.