5 Scopus citations

Abstract

This is the second paper in a series presenting case studies in modern large-scale constrained optimization (Vanderbei,2001). In this paper, we consider the shape of a hanging chain, which, in equilibrium, minimizes the potential energy of the chain. In addition to the tutorial aspects of this paper, we also emphasize the importance of certain modeling issues such as convex vs. nonconvex formulations of given problem. We will present several models of the problem and demonstrate differences in the number of iterations and solution time.

Original languageEnglish (US)
Pages (from-to)463-482
Number of pages20
JournalOptimization and Engineering
Volume6
Issue number4
DOIs
StatePublished - Dec 1 2005

All Science Journal Classification (ASJC) codes

  • Software
  • Civil and Structural Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering

Keywords

  • Catenary problem
  • Constrained optimization
  • Optimal design
  • Shape optimization

Fingerprint Dive into the research topics of 'Case studies in optimization: Catenary problem'. Together they form a unique fingerprint.

  • Cite this