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Optimal multi-level supersaturated designs through integer programming

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  • Mandal, B.N.
  • Koukouvinos, C.

Abstract

This article proposes a novel approach to construct optimal balanced multi-level supersaturated designs using linear integer programming. We illustrate the approach with an example. Using the proposed approach, we construct and catalogue optimal balanced multi-level supersaturated designs in the parametric range m≤100,n≤20 and q≤10.

Suggested Citation

  • Mandal, B.N. & Koukouvinos, C., 2014. "Optimal multi-level supersaturated designs through integer programming," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 183-191.
    • Handle: RePEc:eee:stapro:v:84:y:2014:i:c:p:183-191
    DOI: 10.1016/j.spl.2013.10.007
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    References listed on IDEAS

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    1. Yamada, Shu & Lin, Dennis K. J., 1999. "Three-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 45(1), pages 31-39, October.
    2. Koukouvinos, C. & Stylianou, S., 2004. "Optimal multi-level supersaturated designs constructed from linear and quadratic functions," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 199-211, August.
    3. Kai-Tai Fang & Dennis K. J. Lin & Min-Qian Liu, 2003. "Optimal mixed-level supersaturated design," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 58(3), pages 279-291, December.
    4. Vieira Jr., Hélcio & Sanchez, Susan & Kienitz, Karl Heinz & Belderrain, Mischel Carmen Neyra, 2011. "Generating and improving orthogonal designs by using mixed integer programming," European Journal of Operational Research, Elsevier, vol. 215(3), pages 629-638, December.
    5. S. Georgiou & C. Koukouvinos, 2006. "Multi-level k-circulant Supersaturated Designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(2), pages 209-220, October.
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    Cited by:

    1. Chasiotis, Vasilis & Kounias, Stratis & Farmakis, Nikolaos, 2017. "Upper bound on the number of multi-level columns in equally replicated optimal designs minimizing the E(fNOD) criterion," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 269-274.

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