A Multivariate Partition Approach to Optimization Problems

被引:11
|
作者
H. X. Huang
P. M. Pardalos
机构
[1] Tsinghua University,Department of Mathematical Sciences
[2] University of Florida,Department of Industrial and Systems Engineering
关键词
formulation of multilevel optimization; multivariate partition approach; -coordinate partial minimizer; Lennard-Jones problem; spherical code problem;
D O I
10.1023/A:1016351614255
中图分类号
学科分类号
摘要
In this paper, a general optimization approach called the Multivariate Partition Approach (MPA) is proposed for dealing with the problem of minimization of multivariate functions. The basic idea of the MPA is to partition all the variables appearing in an optimization problem into several groups, each of which consists of some variables, and to regard each group as a set of active variables for solving the original optimization problem.
引用
收藏
页码:265 / 275
页数:10
相关论文
共 50 条
  • [1] Multivariate partition approach for optimization problems
    Huang, HX
    Pardalos, PM
    SCATTERING AND BIOMEDICAL ENGINEERING: MODELING AND APPLICATIONS, 2002, : 122 - 140
  • [2] A SVD approach to multivariate polynomial optimization problems
    Vandermeersch, Antoine
    De Moor, Bart
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 7232 - 7237
  • [3] MULTIVARIATE APPROACH TO PROBLEMS OF CREATIVITY
    ARBET, L
    STUDIA PSYCHOLOGICA, 1977, 19 (02) : 132 - 147
  • [4] Some optimization problems in multivariate statistics
    Rapcsák, T
    JOURNAL OF GLOBAL OPTIMIZATION, 2004, 28 (02) : 217 - 228
  • [5] Some optimization problems in multivariate statistics
    T. Rapcsák
    Journal of Global Optimization, 2004, 28 : 217 - 228
  • [6] Refining the partition for multifold conic optimization problems
    Ramirez C., Hector
    Roshchina, Vera
    OPTIMIZATION, 2020, 69 (11) : 2489 - 2507
  • [7] A Constraint Partition Method for Combinatorial Optimization Problems
    Onoda, Makoto
    Komatsu, Kazuhiko
    Kumagai, Masahito
    Sato, Masayuki
    Kobayashi, Hiroaki
    2023 IEEE 16TH INTERNATIONAL SYMPOSIUM ON EMBEDDED MULTICORE/MANY-CORE SYSTEMS-ON-CHIP, MCSOC, 2023, : 600 - 607
  • [8] ANALYSIS AND SOLUTION OF DISCRETE OPTIMIZATION PROBLEMS WITH LOGICAL CONSTRAINTS ON THE BASE OF L-PARTITION APPROACH
    Adelshin, A. V.
    Kolokolov, A. A.
    PRIKLADNAYA DISKRETNAYA MATEMATIKA, 2015, 30 (04): : 100 - 108
  • [9] A new approach to solve open-partition problems
    Chang, Huilan
    Hwang, Frank K.
    Rothblum, Uriel G.
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2012, 23 (01) : 61 - 78
  • [10] A new approach to solve open-partition problems
    Huilan Chang
    Frank K. Hwang
    Uriel G. Rothblum
    Journal of Combinatorial Optimization, 2012, 23 : 61 - 78