On the reduced-set pareto-lipschitzian optimization
Computational Science and Techniques, 2013 A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Remigijus Paulavičius
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On Pareto Set for a Bi-criterion Scheduling Problem Under Fuzziness [PDF]
المجلة العراقية للعلوم الاحصائية, 2021 In this paper a bi-criterion fuzzy scheduling problem was presented and the problem under consideration is total fuzzy completion time and maximum earliness, where the processing times and the due dates are triangular fuzzy numbers.
Ayad Ramadan
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Design Mode Analysis of Pareto Solution Set for Decision-Making Support [PDF]
Journal of Applied Mathematics, 2014 Decision making in engineering design problems is challenging because they have multiple and conflicting criteria and complex correlation between design parameters.
Satoru Hiwa +2 more
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On the invariance of the Pareto optimal set [PDF]
Computer Science Journal of Moldova, 1993 In the previous paper presented at the 11th SOR, Darmstadt 1986, the authors had shown that the Pareto optimal set of a multicriteria problem remains invariable if on the objective vector function operates a strictly monotone operator of strictly ...
Vincentiu Dumitru, Florica Luban
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Multi-objective automatic optimization of crystallography beamline based on NSGA-II
He jishu, 2021 BackgroundThe beam quality determined by the beamline status greatly affects the experimental results of macromolecular X-ray crystallography (MX). At present, the optimization of the crystallography beamline of Shanghai Synchrotron Radiation Facility ...
ZHANG Ding +5 more
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Method of Achieving the Goal on a Graph Model with Two Quality Criteria
Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki, 2023 The features of the construction and application of graph models for solving applied problems are considered. A graph model with two quality criteria is proposed, on which the search for optimal paths between given graph vertices is performed.
S. V. Chebakov, L. V. Serebryanaya
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Multi-Objective Optimization of an Elastic Rod with Viscous Termination
Mathematical and Computational Applications, 2022 In this paper, we study the multi-objective optimization of the viscous boundary condition of an elastic rod using a hybrid method combining a genetic algorithm and simple cell mapping (GA-SCM).
Siyuan Xing, Jian-Qiao Sun
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Finding algorithm of optimal subset structure based on the Pareto layers in the knapsack problem
Журнал Белорусского государственного университета: Математика, информатика, 2020 An algorithm is developed for finding the structure of the optimal subset in the knapsack problem based on the proposed multicriteria optimization model.
Sergey V. Chebakov +1 more
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Speeding up Martins' algorithm for multiple objective shortest path problems [PDF]
, 2013 The latest transportation systems require the best routes in a large network with respect to multiple objectives simultaneously to be calculated in a very short time.
Audenaert, Pieter +4 more
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Singular Continuation: Generating Piece-wise Linear Approximations to Pareto Sets via Global Analysis [PDF]
, 2011 We propose a strategy for approximating Pareto optimal sets based on the global analysis framework proposed by Smale (Dynamical systems, New York, 1973, pp. 531-544). The method highlights and exploits the underlying manifold structure of the Pareto sets,
Alberto Lovison, Debreu G.
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