Title: Generating blocked fractional factorial split-plot designs using integer programming

Authors: Shay R. Capehart; Ahmet B. Keha; Murat Kulahci; Douglas C. Montgomery

Addresses: Department of Mathematics, Air Force Institute of Technology, Wright-Patterson AFB, OH 45433, USA. ' Department of Industrial, Systems and Operations Engineering, Arizona State University, Phoenix, AZ 85287, USA. ' Department of Informatics and Mathematical Modeling, Technical University of Denmark, Lyngby, 2830, Denmark. ' Department of Industrial, Systems and Operations Engineering, Arizona State University, Phoenix, AZ 85287, USA

Abstract: Split-plot designs are commonly used in industrial experiments when there are hard-to-change and easy-to-change factors. Due to the number of factors and resource limitations, it is more practical to run a fractional factorial split-plot (FFSP) design. These designs are variations of the fractional factorial (FF) design, with the restricted randomisation structure to account for the whole plots and subplots. When all the experimental runs cannot be performed under the same conditions, the designs are split into blocks. We discuss the formulation of blocked fractional factorial split-plot (BFFSP) designs using integer programming (IP) to achieve various design criteria.

Keywords: design criteria; clear effects; tailor-made designs; blocked fractional factorial split-plot designs; integer programming.

DOI: 10.1504/IJEDPO.2012.049297

International Journal of Experimental Design and Process Optimisation, 2012 Vol.3 No.2, pp.111 - 132

Available online: 29 Sep 2012 *

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