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The LP Relaxation Orthogonal Array Polytope and its Permutation Symmetries
- Source :
- Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 91, November 2014, pp. 165-176
- Publication Year :
- 2015
-
Abstract
- Symmetry plays a fundamental role in design of experiments. In particular, symmetries of factorial designs that preserve their statistical properties are exploited to find designs with the best statistical properties. By using a result proved by Rosenberg [6], the concept of the LP relaxation orthogonal array polytope is developed and studied. A complete characterization of the permutation symmetry group of this polytope is made. Also, this characterization is verified computationally for many cases. Finally, a proof is provided.<br />Comment: 12 pages
- Subjects :
- Mathematics - Combinatorics
05B15, 52B15
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 91, November 2014, pp. 165-176
- Publication Type :
- Report
- Accession number :
- edsarx.1503.03910
- Document Type :
- Working Paper