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American Journal of Mathematical and Management Sciences Volume 33, 2014 - Issue 2
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Original Articles

Efficient Incomplete Block Designs Through Linear Integer Programming

B. N. MandalIndian Agricultural Statistics Research Institute, New Delhi, 110012, IndiaCorrespondence[email protected]
,
V. K. GuptaIndian Agricultural Statistics Research Institute, New Delhi, 110012, India
&
R. ParsadIndian Agricultural Statistics Research Institute, New Delhi, 110012, India
Pages 110-124 | Published online: 02 Jun 2014

References

  • Berkelaar, M., and others. (2011). lpSolve: Interface to Lp_solve v. 5.5 to solve linear/integer programs. R package version 5.6.6. Available at http://CRAN.R-project.org/package=lpSolve.
  • Cheng, C.S., & Wu, C.F. (1981). Nearly balanced incomplete block designs. Biometrika, 68(2), 493–500.
  • John, J.A., & Mitchell, T. (1977). Optimal incomplete block designs. Journal of Royal Statistical Society, Series B 39, 39–43.
  • Mandal, B.N. (2013). Linear integer programming approach to construct balanced incomplete block designs. Communications in Statistics—Simulation and Computation, . accepted. . Available at http://www.tandfonline.com/doi/abs/10.1080/03610918.2013.821482.
  • Mandal, B.N., Parsad, R., & Gupta, V.K. (2013). Incomplete block designs for making all possible pairwise treatment comparisons: Design resources server. New Delhi, India: Indian Agricultural Statistics Research Institute. . Available at www.iasri.res.in/design/ibd/ibd.htm.
  • Morgan, J.P. (2007). Optimal incomplete block designs. Journal of American Statistical Association, 102(478), 655–663.
  • Nguyen, N.K. (1994). Construction of optimal block designs by computer. Technometrics, 36(3), 300–307.
  • Parsad, R., Gupta, V.K., Batra, P.K., Satpati, S.K., & Biswas, P. (2007). Monograph on α-designs. New Delhi, India: Indian Agricultural Statistics Research Institute.
  • Rathore, A., Parsad, R., & Gupta, V.K. (2006). Computer aided search of efficient block designs for making all possible pairwise treatment comparisons. Journal of Statistics and Applications, 1(1), 15–33.
  • Whitaker, D., Triggs, C.M., & John, J.A. (1990). Construction of block designs using mathematical programming. Journal of Royal Statistical Society, Series B 52(3), 497–503.
  • Yokoya, D., & Yamada, T. (2011). A mathematical programming approach to the construction of bibds. International Journal of Computer Mathematics, 88(5), 1067–1082.

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