Constructing uniform designs: A heuristic integer programming method

DOI10.1016/j.jco.2011.10.005zbMath1242.90114OpenAlexW1970045329MaRDI QIDQ413474

Kai-Tai Fang, Jian-Hui Ning, Yong-Dao Zhou

Publication date: 7 May 2012

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2011.10.005

zbMATH Keywords

simulated annealinguniform designquadratic integer programmingwrap-around \(L_{2}\)-discrepancy

Mathematics Subject Classification ID

Integer programming (90C10) Quadratic programming (90C20) Approximation methods and heuristics in mathematical programming (90C59)

Related Items (9)

Construction of main effects plans orthogonal through the block factor based on level permutation ⋮ Deterministic construction methods for uniform designs ⋮ Level permutation method for constructing uniform designs under the wrap-around \(L_2\)-discrepancy ⋮ Construction of uniform designs without replications ⋮ Optimal foldover plans of asymmetric factorials with minimum wrap-around \(L_2\)-discrepancy ⋮ Nearly uniform design construction on flexible region ⋮ Measures of uniformity in experimental designs: A selective overview ⋮ Uniformity criterion for designs with both qualitative and quantitative factors ⋮ Constructing uniform designs under mixture discrepancy

Cites Work

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• Multistart tabu search strategies for the unconstrained binary quadratic optimization problem
• Lower bounds of the wrap-around \(L_2\)-discrepancy and relationships between MLHD and uniform design with a large size
• Greedy and local search heuristics for unconstrained binary quadratic programming
• Introduction to global optimization
• Global optimality conditions for quadratic \(0-1\) optimization problems
• Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs
• A generalized discrepancy and quadrature error bound
• Application of Threshold-Accepting to the Evaluation of the Discrepancy of a Set of Points
• Quadratic binary programming and dynamical system approach to determine the predictability of epileptic seizures
• Performance of simulated annealing-based heuristic for the unconstrained binary quadratic programming problem

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