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Axford, Roy A. Rahn, Regina DeMers 2011-05-07T12:21:49Z 2011-05-07T12:21:49Z 10000-01-01 1995 Advanced optimization techniques, based on analogies related to physical systems rather than on classical mathematical theory, are becoming more widely used than ever before. One such type of technique is simulated annealing, a Monte Carlo (stochastic) method. Although it has been used primarily for the solution of combinatorial optimization problems, it is just starting to be applied to problems with continuous domains as well as to linear programming problems. This dissertation investigates the simulated annealing technique and its application to problems other than those of the combinatorial optimization type. The first problem implements a modified simulated annealing type algorithm for the solution of a dynamic control problem in position and velocity space. The second one involves a nuclear engineering cost minimization problem for gas tagging, a promising way of detecting leaks while on line. The specific problem solved is a linear one. These implementations allow the technique to be benchmarked for both problem types and, thereby, to check the robustness of the algorithm. The acceptance criteria of the algorithm, namely, the use of the Boltzmann distribution, is also investigated. A modification to this criteria is accomplished by implementing a two-tailed alternative distribution, the Fermi-Dirac distribution. Made available in DSpace on 2011-05-07T12:21:49Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9543700.pdf: 3868814 bytes, checksum: 4e4823c956356e18fa7d758d62ee9ee9 (MD5) Previous issue date: 1995 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:40:06Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:17:05-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9543700 (UMI)AAI9543700 http://hdl.handle.net/2142/19886 eng Copyright 1995 Rahn, Regina DeMers Engineering, Industrial Engineering, Mechanical Engineering, Nuclear Modification of the simulated annealing optimization technique and its application to both a dynamic control and gas tagging problem text Nuclear, Plasma, and Radiological Engineering Nuclear, Plasma, and Radiological Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.