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Advances in Global Optimization

  • David Gao
  • Ning Ruan
  • Wenxun Xing
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 95)

Table of contents

  1. Front Matter
    Pages i-xiii
    PDF

  2. Mathematical Programming

    1. Front Matter
      Pages 1-1
      PDF
    2. On a Reformulation of Mathematical Programs with Cardinality Constraints
      Oleg Burdakov, Christian Kanzow, Alexandra Schwartz
      Pages 3-14
    3. The Orthogonal Complement of Faces for Cones Associated with the Cone of Positive Semidefinite Matrices
      Qinghong Zhang
      Pages 15-22
    4. Optimality of Bilevel Programming Problems Through Multiobjective Reformulations
      Roxin Zhang
      Pages 23-31
    5. Global Sufficient Conditions for Nonconvex Cubic Minimization Problem with Box Constraints
      Yanjun Wang, Zhian Liang, Linsong Shen
      Pages 33-40
    6. An Outcome Space Branch-and-Bound Algorithm for a Class of Linear Multiplicative Programming Problems
      Yuelin Gao, Nihong Zhang, Xiaohua Ma
      Pages 41-50
    7. A Modified Cut-Peak Function Method for Global Optimization
      Sun Li, Wang Yuncheng
      Pages 51-56
    8. Modified Filled Function Method for Global Discrete Optimization
      You-Lin Shang, Zhen-Yang Sun, Xiang-Yi Jiang
      Pages 57-68
    9. Constrained Global Optimization Using a New Exact Penalty Function
      Fangying Zheng, Liansheng Zhang
      Pages 69-76

  3. Combinatorial Optimization

    1. Front Matter
      Pages 77-77
      PDF
    2. A Multiobjective State Transition Algorithm for Single Machine Scheduling
      Xiaojun Zhou, Samer Hanoun, David Yang Gao, Saeid Nahavandi
      Pages 79-88
    3. Model Modification in Scheduling of Batch Chemical Processes
      Xiaojun Zhou, David Yang Gao, Chunhua Yang
      Pages 89-97
    4. An Approximation Algorithm for the Two-Stage Distributionally Robust Facility Location Problem
      Chenchen Wu, Donglei Du, Dachuan Xu
      Pages 99-107
    5. Rainbow Connection Numbers for Undirected Double-Loop Networks
      Yuefang Sun
      Pages 109-116
    6. A Survey on Approximation Mechanism Design Without Money for Facility Games
      Yukun Cheng, Sanming Zhou
      Pages 117-128
    7. Approximation Algorithms for the Robust Facility Location Problem with Penalties
      Fengmin Wang, Dachuan Xu, Chenchen Wu
      Pages 129-135
    8. A Discrete State Transition Algorithm for Generalized Traveling Salesman Problem
      Xiaolin Tang, Chunhua Yang, Xiaojun Zhou, Weihua Gui
      Pages 137-145

  4. Duality Theory

    1. Front Matter
      Pages 147-147
      PDF
    2. Canonical Dual Approach for Minimizing a Nonconvex Quadratic Function over a Sphere
      Yi Chen, David Y. Gao
      Pages 149-156
    3. Application of Canonical Duality Theory to Fixed Point Problem
      Ning Ruan, David Yang Gao
      Pages 157-163
    4. Solving Facility Location Problem Based on Duality Approach
      Ning Ruan
      Pages 165-172
    5. Duality Method in the Exact Controllability of Hyperbolic Electromagnetic Equations
      Xiaojun Lu, Ziheng Tu, Xiaoxing Liu
      Pages 173-182
    6. Conceptual Study of Inter-Duality Optimization
      Shaokun Chen
      Pages 183-200

  5. Topology Optimization

    1. Front Matter
      Pages 201-201
      PDF
    2. The Interval Uncertain Optimization Strategy Based on Chebyshev Meta-model
      Jinglai Wu, Zhen Luo, Nong Zhang, Yunqing Zhang
      Pages 203-216
    3. An Element-Free Galerkin Method for Topology Optimization of Micro Compliant Mechanisms
      Yu Wang, Zhen Luo, Nong Zhang
      Pages 217-226
    4. A Level Set Based Method for the Optimization of 3D Structures with the Extrusion Constraint
      Hao Li, Liang Gao, Peigen Li, Tao Wu
      Pages 227-239
    5. Topology Optimization of Structures Using an Adaptive Element-Free Galerkin Method
      Yixian Du, Shuangqiao Yan, De Chen, Qingping Long, Xiang Li
      Pages 241-249
    6. Modeling and Multi-Objective Optimization of Double Suction Centrifugal Pump Based on Kriging Meta-models
      Yu Zhang, Sanbao Hu, Jinglai Wu, Yunqing Zhang, Liping Chen
      Pages 251-261
    7. Topology Optimization for Human Proximal Femur Considering Bi-modulus Behavior of Cortical Bones
      Kun Cai, Zhen Luo, Yu Wang
      Pages 263-270
    8. Topology Optimization of Microstructures for Multi-Functional Graded Composites
      A. Radman, X. Huang, Y. M. Xie
      Pages 271-280

  6. Variational Inequalities and Complementarity Problems

    1. Front Matter
      Pages 281-281
      PDF
    2. Evolution Inclusions in Nonsmooth Systems with Applications for Earth Data Processing
      Michael Z. Zgurovsky, Pavlo O. Kasyanov
      Pages 283-294
    3. A Contact Problem with Normal Compliance, Finite Penetration and Nonmonotone Slip Dependent Friction
      Ahmad Ramadan, Mikäel Barboteu, Krzysztof Bartosz, Piotr Kalita
      Pages 295-303
    4. A Class of Mixed Variational Problems with Applications in Contact Mechanics
      Mircea Sofonea
      Pages 305-314
    5. A Canonical Duality Approach for the Solution of Affine Quasi-Variational Inequalities
      Vittorio Latorre, Simone Sagratella
      Pages 315-323
    6. Numerical Analysis for a Class of Non Clamped Contact Problems
      Oanh Chau
      Pages 325-333

  7. Numerical Optimization

    1. Front Matter
      Pages 335-335
      PDF
    2. A Newton-CG Augmented Lagrangian Method for Convex Quadratically Constrained Quadratic Semidefinite Programs
      Xin-Yuan Zhao, Tao Cai, Dachuan Xu
      Pages 337-345
    3. A Novel Hybrid SP-QPSO Algorithm Using CVT for High Dimensional Problems
      Ghazaleh Taherzadeh, Chu Kiong Loo, Ling Teck Chaw
      Pages 347-354
    4. A Filter-Genetic Algorithm for Constrained Optimization Problems
      Junjie Tang, Wei Wang
      Pages 355-362
    5. A Modified Neural Network for Solving General Singular Convex Optimization with Bounded Variables
      Rendong Ge, Lijun Liu, Jinzhi Wang
      Pages 363-374
    6. A Teaching–Learning-Based Cuckoo Search for Constrained Engineering Design Problems
      Jida Huang, Liang Gao, Xinyu Li
      Pages 375-386
    7. Leader-Following Consensus of Second-Order Multi-Agent Systems with Switching Topologies
      Li Xiao, Xi Shi, Huaqing Li
      Pages 387-396
    8. A Semismooth Newton Multigrid Method for Constrained Elliptic Optimal Control Problems
      Jun Liu, Tingwen Huang, Mingqing Xiao
      Pages 397-405
    9. Modified DIRECT Algorithm for Scaled Global Optimization Problems
      Qunfeng Liu, Jianxiong Zhang, Fen Chen
      Pages 407-415
    10. A Fast Tabu Search Algorithm for the Reliable P-Median Problem
      Qingwei Li, Alex Savachkin
      Pages 417-424

  8. Stochastic Models and Simulation

    1. Front Matter
      Pages 425-425
      PDF
    2. On the Implementation of a Class of Stochastic Search Algorithms
      Jiaqiao Hu, Enlu Zhou
      Pages 427-435

About these proceedings

Introduction

This proceedings volume addresses advances in global optimization—a multidisciplinary research field that deals with the analysis, characterization, and computation of global minima and/or maxima of nonlinear, non-convex, and nonsmooth functions in continuous or discrete forms. The volume contains selected papers from the third biannual World Congress on Global Optimization in Engineering & Science (WCGO), held in the Yellow Mountains, Anhui, China on July 8-12, 2013. The papers fall into eight topical sections: mathematical programming; combinatorial optimization; duality theory; topology optimization; variational inequalities and complementarity problems; numerical optimization; stochastic models and simulation; and complex simulation and supply chain analysis.

Keywords

Convex nonconvex functions Mathematical programming Structural optimization Supply chain Systems engineering World Congress

Editors and affiliations

  • David Gao
    • 1
  • Ning Ruan
    • 2
  • Wenxun Xing
    • 3
  1. 1.School of Science, Information Technology and EngineeringFederation University AustraliaBallaratAustralia
  2. 2.School Science, Inform., Tech. & Engg.Federation University AustraliaBallaratAustralia
  3. 3.Dept. of Mathematical SciencesTsinghua UniversityBeijingChina

Bibliographic information