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Multiple Criteria Optimization: Theory, Computation, and Application

R. S. Laundy
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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.

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Proceedings ArticleDOI

Solving goal programming problems using multi-objective genetic algorithms

TL;DR: This paper poses the goal programming problem as a multi-objective optimization problem of minimizing deviations from individual goals and suggests that the proposed approach is a unique, effective, and practical tool for solving goal programming problems.
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Solving a bi-objective Transportation Location Routing Problem by metaheuristic algorithms

TL;DR: This work presents a mathematical formulation for the bi-objective TLRP and proposes a new representation for the TLRP based on priorities, which lets us manage the problem easily and reduces the computational effort.
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Determining location and size of medical departments in a hospital network: a multiobjective decision support approach.

TL;DR: The proposed two-phase solution procedure for the corresponding mathematical programming model does not require a priori preference information, and seeks efficient solutions by means of multiobjective tabu search in the first phase, while applying clustering in the second phase to allow the decision makers to interactively explore the solution space until the “best” configuration is determined.
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A review of multi-criteria optimization techniques for agricultural land use allocation

TL;DR: This study provides an overview of optimization methods used for targeting land use decisions in agricultural areas, exploring their relative abilities for the integration of stakeholders and the identification of ecosystem service trade-offs since these are especially pertinent to land use planners.
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A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods

TL;DR: This paper surveys surrogate-based methods proposed in the literature, where the methods are independent of the underlying optimization algorithm and mitigate the computational burden to capture different types of Pareto frontiers.