Dursun A. Bulutoglu

Assistant Professor
Air Force Institute of Technology (AFIT)
2950 Hobson Way
Wright-Patterson AFB, OH 45433
(937) 255-3636 x4704
Email Dursun Bulutoglu

Publications:

D.A. Bulutoglu and C.S. Cheng "Hidden Projection Properties of Some Nonregular Fractional Factorial Designs and Their Applications" The Annals of Statistics 31, 1012-1026, (2003).

D.A. Bulutoglu and C.S. Cheng "Construction of E(s2)-optimal Supersaturated Designs" The Annals of Statistics 32 1662-1678, (2004).

G. Roelke, R. Baldwin and D.A. Bulutoglu "Analytical Models for the Performance of Von Neumann Mulitplexing" IEEE Transactions on Nanotechnology 6, 2007.

K.J. Ryan and D.A. Bulutoglu "E(s2)-optimal Supersaturated Designs with Good Minimax Properties" Journal of Statistical Planning and Inference 137, 2250-2262, 2007.

D.A. Bulutoglu "Cyclically Generated Supersaturated Designs" Journal of Statistical Planning and Inference 137, 2413-2428, 2007.

D.A. Bulutoglu and F. Margot "Classification of Orthogonal Arrays by Integer Programming" Journal of Statistical Planning and Inference 138, 654-666, 2008.

D.A. Bulutoglu and K. J. Ryan "E(s2)-Optimal Supersaturated Designs with Good Minimax Properties when N is Odd" Journal of Statistical Planning and Inference 138 1754-1762, 2008.

D.A. Bulutoglu and K. J. Ryan "D-Optimal and Near D-optimal 2k Fractional Factorial Designs of Resolution V" Journal of Statistical Planning and Inference Special Issue: Metaheuristics, Combinatorial Optimization and Design of Experiments 139, 15-22, 2009.

D.A. Bulutoglu and D. M. Kaziska "A counterexample to Beder's conjectures about Hadamard matrices" Journal of Statistical Planning and Inference (to appear).

K. J. Ryan and D.A. Bulutoglu "Minimum Aberration Fractional Factorial Designs with Large N" (submitted).

D.A. Bulutoglu D. M. Kaziska "Improved WLP and GWP Lower Bounds Based on Exact Integer Programming" (submitted).

D.A. Bulutoglu and K. J. Ryan "Generalized Minimum Aberration Designs with Small Run Sizes" (submitted). Designs from this paper are here. Use the unix command "tar xvzf post.tgz" to unpack.

D.A. Bulutoglu and K. J. Ryan "A Step-down Algorithm with Integer Programming for Improving E(s2) Lower Bounds" (in preperation).

Research:

Orthogonal Arrays:

All non-isomorphic OA(24,6,2,3)s

All non-isomorphic OA(24,7,2,2)s
All non-isomorphic OA(24,7,2,3)s
All non-isomorphic OA(24,8,2,3)s

All non-isomorphic OA(24,9,2,3)s  

All non-isomorphic OA(24,10,2,3)s  

All non-isomorphic OA(24,11,2,3)s  

All non-isomorphic OA(32,6,2,3)s

All non-isomorphic OA(32,7,2,3)s
All non-isomorphic OA(32,8,2,3)s
All non-isomorphic OA(32,9,2,3)s

All non-isomorphic OA(32,10,2,3)s  

All non-isomorphic OA(32,11,2,3)s  

All non-isomorphic OA(40,6,2,3)s
All non-isomorphic OA(40,7,2,3)s
All non-isomorphic OA(40,8,2,3)s
All non-isomorphic OA(40,9,2,3)s  

All non-isomorphic OA(40,10,2,3)s

All non-isomorphic OA(48,6,2,3)s
All non-isomorphic OA(48,7,2,3)s
All non-isomorphic OA(48,8,2,3)s  

All non-isomorphic OA(56,6,2,3)s  

All non-isomorphic OA(56,7,2,3)s  

All non-isomorphic OA(64,7,2,4)s  

All non-isomorphic OA(64,8,2,4)s  

All non-isomorphic OA(80,6,2,4)s  
All non-isomorphic OA(96,7,2,4)s
All non-isomorphic OA(112,6,2,4)s
All non-isomorphic OA(144,8,2,4)s

Packing Arrays with the Maximum Number of Runs:

All non-isomorphic PA*3(6,2,4)
All non-isomorphic PA*5(7,2,4)
All non-isomorphic PA*7(7,2,4)

Covering Arrays with the Minimum Number of Runs:

All non-isomorphic CA*1(3,2,2)
All non-isomorphic CA*1(4,2,2)
All non-isomorphic CA*1(5,2,2)
All non-isomorphic CA*1(6,2,2)
All non-isomorphic CA*1(7,2,2)
All non-isomorphic CA*1(8,2,2)

All non-isomorphic CA*1(9,2,2)
All non-isomorphic CA*1(10,2,2)
All non-isomorphic CA*1(11,2,2)
All non-isomorphic CA*1(4,2,3)
All non-isomorphic CA*1(5,2,3)
All non-isomorphic CA*1(6,2,3)
All non-isomorphic CA*1(7,2,3)
All non-isomorphic CA*1(8,2,3)

All non-isomorphic CA*1(9,2,3)
All non-isomorphic CA*1(10,2,3)
All non-isomorphic CA*1(5,2,4)
All non-isomorphic CA*1(6,2,4)
All non-isomorphic CA*1(7,2,4)
All non-isomorphic CA*1(8,2,4)

All non-isomorphic CA*1(9,2,4)
All non-isomorphic CA*1(10,2,4)
All non-isomorphic CA*2(8,2,2)
All non-isomorphic CA*2(9,2,2)
All non-isomorphic CA*2(10,2,2)

All non-isomorphic CA*2(8,2,3)
All non-isomorphic CA*2(9,2,3)

All non-isomorphic CA*3(6,2,4)
All non-isomorphic CA*5(7,2,4)
All non-isomorphic CA*7(7,2,4)

All non-isomorphic CA*1(3,3,2)
All non-isomorphic CA*1(4,3,2)
All non-isomorphic CA*1(5,3,2)
All non-isomorphic CA*1(6,3,2)

All non-isomorphic CA*1(4,3,3)
All non-isomorphic CA*1(5,3,3)
All non-isomorphic CA*1(6,3,3)
All non-isomorphic CA*1(5,3,4)

E(s2)-optimal Supersaturated Designs:

 

Results discussed in the paper “D-optimal and near D-optimal 2k 

fractional factorial designs of resolution V”

 

Research Interests:

Design of Experiments, Discrete Optimization and Combinatorial Optimization.

Teaching:

STAT 583 - Introduction to Probability and Statistics
STAT 696 - Linear Models
STAT 694 - Design of Experiments
MATH 509 - Mathematical Methods for the Physical Sciences
MATH 521 - Linear Algebra
MATH 633 - Graph Theory

Education:

Ph.D. (2001), Statistics, University of California, Berkeley, California.
Thesis Advisor: Ching-Shui Cheng

M.A. (1998), Statistics, University of California, Berkeley, California.

B.S. (1996), Mathematics University of Maryland, College Park, Maryland.

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      Last modifed March 2, 2006. You can e-mail me by inserting my name as specified into the address: FirstName.LastName@afit.edu