A Multivariate Partition Approach to Optimization Problems

  • Authors:

  • H. X. Huang;P. M. Pardalos

  • Affiliations:

  • Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China hhuang@math.tsinghua.edu.cn;Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA pardalos@ufl.edu

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2002

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Abstract

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.