SIAC Seminar

TITLE: Graph-based methods for efficiently constructing factorial designs

SPEAKER: Dr. Abhishek K. Shrivastava

ABSTRACT:

Fractional factorial designs are among the most popular class of experimental designs among practitioners. Usually, a factorial design is selected after comparing all the designs in a catalog of designs for a given size. Designs in these catalogs should be distinct under relabeling of factors, level labels and run order, i.e., they should be mutually non-isomorphic. Testing two designs for isomorphism is computationally hard, and construction of non-isomorphic catalogs is even tougher with the large number of designs that need to be compared for isomorphism. In this talk, I will present a new approach for solving design isomorphism by representing designs as graphs. The resulting graph isomorphism problem can be efficiently solved using methods available in literature. Further, in the case of regular designs, I will show how these graph representations can be exploited for speeding up the efficiency of catalog construction by reducing the number of isomorphism tests. I will demonstrate the gains from this approach by presenting results for 2-level regular fractional factorial and 2-level split-plot designs.

Bio:

Abhishek K. Shrivastava is an Assistant Professor in the Department of Manufacturing Engineering and Engineering Management in City University of Hong Kong, Hong Kong. He received his B. Tech. (Honors) in Industrial Engineering from I.I.T. Kharagpur, India, in 2003, and his Ph.D. in Industrial Engineering from Texas A&M University, College Station, USA, in 2009. His research interests are in statistical modeling and analysis of complex systems, design of experiments and rare event detection. He is a member of INFORMS, IIE, ASA and IMS.