Optimal design of truss structures by logic-based branch and cut
成果类型：
Article
署名作者：
Bollapragada, S; Ghattas, O; Hooker, JN
署名单位：
General Electric; Carnegie Mellon University; Carnegie Mellon University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.49.1.42.11196
发表日期：
2001
页码：
42-51
关键词：
摘要：
The truss design problem is to find the optimal placement and size of structural bars that can support a given lend. The problem is nonlinear and, in the version addressed here, the bars must take certain discrete sizes. It is shown that a logic-based method that dispenses with integer variables and branches directly on logical disjunctions can solve substantially larger problems than mixed integer programming, even though the nonlinearities disappear in the mixed integer model. A primary purpose of the paper is to investigate whether advantages of logic-based branching that have been demonstrated elsewhere for linear problems extend to nonlinear programming.