Manifold mapping: a two-level optimization technique

Manifold mapping: a two-level optimization technique

In this paper, we analyze in some detail the manifold-mapping optimization technique introduced recently [Echeverría and Hemker in space mapping and defect correction. Comput Methods Appl Math 5(2): 107-–136, 2005]. Manifold mapping aims at accelerating optimal design procedures that otherwise require many evaluations of time-expensive cost functions. We give a proof of convergence for the mani...

A Two Level Approximation Technique for Structural Optimization

This work presents a method for optimum design of structures, where the design variables can he considered as Continuous or discrete. The variables are chosen as sizing variables as well as coordinates of joints. The main idea is to reduce the number of structural analyses and the overal cost of optimization. In each design cycle, first the structural response quantities such as forces, displac...

A trust-region strategy for manifold-mapping optimization

Studying the space-mapping technique by Bandler et al. [J. Bandler, R. Biernacki, S. Chen, P. Grobelny, R.H. Hemmers, Space mapping technique for electromagnetic optimization, IEEE Trans. Microwave Theory Tech. 42 (1994) 2536–2544] for the solution of optimization problems, we observe the possible difference between the solution of the optimization problem and the computed space-mapping solutio...

Order quantity optimization in a two-level pharmaceutical supply chain

Drug has a great and crucial role inboth the health systems and the quality of life, and thereforeits shortage can cause death.In order to the important role of drugs,pharmaceutical supply chain(PSC) shouldensure that drugs are delivered to people in the right time with the best quality.On the other hand, thesupply chain (SC) members depend on each other for resources and information, and it ha...

Manifold mapping optimization with or without true gradients