MINLP and MILP Strategies for Discrete Sizing Structural Optimization Problemsby Omar N. Ghattas, Carnegie Mellon Univ, Pittsburgh, United States,
Ignacio E. Grossmann, Carnegie Mellon Univ, Pittsburgh, United States,
Abstract: We address an important practical problem of optimum structural design in the presence of discrete sizing constraints. In addition, the topology of the structure may vary as well. The problem can be posed as an nonconvex nonlinear discrete optimization problem. We discuss solution strategies, and circumvent the nonconvexities by reformulating the problem as a binary-linear problem. The resulting form of the problem is guaranteed to produce a global optimum. We demonstrate the linear and nonlinear formulations with two numerical examples.
Subject Headings: Structural design | Nonlinear analysis | Linear functions | Numerical methods | Numerical analysis
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