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Optimization and Engineering

, Volume 6, Issue 4, pp 463–482 | Cite as

Case Studies in Optimization: Catenary Problem

  • Igor A. Griva
  • Robert J. Vanderbei
Article

Abstract

This is the second paper in a series presenting case studies in modern large-scale constrained optimization 9 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.

Keywords

shape optimization optimal design constrained optimization catenary problem 

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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • Igor A. Griva
    • 1
  • Robert J. Vanderbei
    • 1
  1. 1.Operations Research and Financial Engineering, Princeton UniversityUSA

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