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 language | English (US) |
|---|---|
| Pages (from-to) | 463-482 |
| Number of pages | 20 |
| Journal | Optimization and Engineering |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 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