A magnetic resonance device designed via global optimization techniques

• 成果类型: Article
• 署名作者: Liuzzi, G; Lucidi, S; Piccialli, V; Sotgiu, A
• 署名单位: Sapienza University Rome; Consiglio Nazionale delle Ricerche (CNR); Istituto Nazionale per la Fisica della Materia (INFM-CNR); University of L'Aquila
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-004-0528-5
• 发表日期: 2004
• 页码: 339-364
• 关键词: unconstrained minimization; Random search; CONVERGENCE; algorithms; motors

摘要

In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved by means of a new derivative free global optimization method which is a distributed multi-start type algorithm controlled by means of a simulated annealing criterion. In particular, the proposed method employs, as local search engine, a derivative free procedure. Under reasonable assumptions, we prove that this local algorithm is attracted by global minimum points. Additionally, we show that the simulated annealing strategy is able to produce a suitable starting point in a finite number of steps with probability one.