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RISOptimization With Discrete Variables Via Recursive Quadratic Programming: Part 2—Algorithm and Results
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A discrete recursive quadratic programming algorithm is developed for a class of mixed discrete constrained nonlinear programming (MDCNP) problems. The symmetric rank one (SR1) Hessian update ...
Optimization With Discrete Variables Via Recursive Quadratic Programming: Part 1—Concepts and Definitions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Although a variety of algorithms for discrete nonlinear programming have been proposed, the solution of discrete optimization problems is far from mature compared to continuous optimization ...
The Symmetric Rank One Formula and its Application in Discrete Nonlinear Optimization
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The Symmetric Rank One (SR1) update formula is studied for its use in numerically accumulating second order derivative information for optimization. The unique advantage of the SR1 formula is ...
An Equality Constrained RQP Algorithm Based on the Augmented Lagrangian Penalty Function
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In comparative studies of constrained optimization methods the equality constrained recursive quadratic programming procedure has performed very favorably, particularly in terms of required computer ...
Optimal Design Procedures for Active Structures
Publisher: American Society of Civil Engineers
Abstract: The problem of optimal design of active structures has been shown to be one of simultaneous structural and control design optimization. The basic equations represent, in general, a large system of coupled nonlinear ...