Implementing SELC (sequential elimination of level combinations) for practitioners

Genetic algorithms (GAs) are a popular technology to search for an optimum in a large search space. Wu, Mao and Ma prosposed the sequential elimination of levels (SEL) method to find an optimal setting. Using the new ideas of a forbidden array and weighted mutation, Mandal, Wu and Johnson used elements of both SEL and GAs to introduce a new global optimization technique called sequential elimination of level combinations (SELC) to find optima more quickly. SELC has direct applications in pharmaceutical industries and hence, it is of importance to write statistical software to implement SELC automatically. In this thesis, we have implemented SELC in SAS, Matlab and R. INDEX WORDS: Orthogonal array; Forbidden array; Weighted mutation; SAS; Matlab; R. IMPLEMENTING SELC (SEQUENTIAL ELIMINATION OF LEVEL COMBINATIONS) FOR PRACTITIONERS  NEW STATISTICAL SOFTWARES

[1]  Rudra Pratap,et al.  Getting started with MATLAB : a quick introduction for scientists and engineers : version 6 , 1998 .

[2]  A. Maureen Ouhi CUSTOM SYNTHESIS FOR DRUG DISCOVERY , 2003 .

[3]  Brian R. Hunt,et al.  A Guide to MATLAB®: For Beginners and Experienced Users , 2014 .

[4]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[5]  Frank C. DiIorio,et al.  Quick Start to Data Analysis with SAS , 1995 .

[6]  John Maindonald,et al.  Data Analysis and Graphics Using R: Contents , 2006 .

[7]  Lora D. Delwiche,et al.  The Little SAS Book: A Primer, Third Edition , 2003 .

[8]  J. Gasteiger,et al.  Chemoinformatics: A Textbook , 2003 .

[9]  Colin R. Reeves,et al.  Genetic Algorithms and the Design of Experiments , 1999 .

[10]  Eva Riccomagno,et al.  Experimental Design and Observation for Large Systems , 1996, Journal of the Royal Statistical Society: Series B (Methodological).

[11]  Andrew R. Leach,et al.  An Introduction to Chemoinformatics , 2003 .

[12]  Connie M. Borror,et al.  Genetic Algorithms for the Construction of D-Optimal Designs , 2003 .

[13]  William N. Venables,et al.  An Introduction To R , 2004 .

[14]  Abhyuday Mandal,et al.  SELC: Sequential Elimination of Level Combinations by Means of Modified Genetic Algorithms , 2006, Technometrics.

[15]  Karen A. F. Copeland Experiments: Planning, Analysis, and Parameter Design Optimization , 2002 .

[16]  Michael D. Vose,et al.  The simple genetic algorithm - foundations and theory , 1999, Complex adaptive systems.

[17]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .