Conference paper

The stochastics of threshold accepting: analysis of an application to the uniform design problem


Authors listWinker, P.

Appeared inCompstat 2006 - Proceedings in Computational Statistics

Editor listRizzi, A.; Vichi, M.

Publication year2006

Pages495-503

ISBN978-3-7908-1708-9

eISBN978-3-7908-1709-6

DOI Linkhttps://doi.org/10.1007/978-3-7908-1709-6_40

ConferenceCompstat 2006, 17th Symposium


Abstract

Threshold Accepting is a powerful optimization heuristic from the class of stochastic local search algorithms. It has been applied successfully to several problems in statistics and econometrics, including the uniform design problem. Using the latter application as an example, the stochastic properties of a TA implementation are analyzed. We provide a formal framework for the analysis of optimization heuristics, which can be used to estimate lower bounds and to derive convergence results. It is also helpful for tuning real applications. Empirical results are presented for the uniform design problem. In particular, the rate of convergence of the algorithm is estimated to be of the order of one over square root of the number of iterations.




Authors/Editors




Citation Styles

Harvard Citation styleWinker, P. (2006) The stochastics of threshold accepting: analysis of an application to the uniform design problem, in Rizzi, A. and Vichi, M. (eds.) Compstat 2006 - Proceedings in Computational Statistics. Heidelberg: Physica-Verlag HD. pp. 495-503. https://doi.org/10.1007/978-3-7908-1709-6_40

APA Citation styleWinker, P. (2006). The stochastics of threshold accepting: analysis of an application to the uniform design problem. In Rizzi, A., & Vichi, M. (Eds.), Compstat 2006 - Proceedings in Computational Statistics. (pp. 495-503). Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-1709-6_40


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