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Analyzing simulation experiments with common random numbers

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Author Info

  • Kleijnen, J.P.C.

    (Tilburg University)

Abstract

To analyze simulation runs which use the same random numbers, the blocking concept of experimental design is not needed. Instead, this paper applies a linear regression model with a nondiagonal covariance matrix. This covariance matrix does not need to have a specific pattern such as constant covariances. A simple example yields surprising results. The paper proposes a new framework for the error analysis. This framework consists of three factors (namely, common random numbers, replication, model validity), each with three levels.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-369816.

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Date of creation: 1988
Date of revision:
Publication status: Published in Management Science (1988) v.34, p.65-74
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-369816

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Web page: http://www.tilburguniversity.edu/

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Cited by:
  1. Leutscher, K. J. & Renkema, J. A. & Challa, H., 1999. "Modelling operational adaptations of tactical production plans on pot plant nurseries: a simulation approach," Agricultural Systems, Elsevier, vol. 59(1), pages 67-78, January.
  2. Vagnani, Gianluca, 2009. "The Black-Scholes model as a determinant of the implied volatility smile: A simulation study," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 103-118, October.
  3. Peter Moran & Michele Simoni & Gianluca Vagnani, 2011. "Becoming the best: by beating or ignoring the best? Toward an expanded view of the role of managerial selection in complex and turbulent environments," Journal of Management and Governance, Springer, vol. 15(3), pages 447-481, August.
  4. Safizadeh, M. Hossein, 2002. "Minimizing the bias and variance of the gradient estimate in RSM simulation studies," European Journal of Operational Research, Elsevier, vol. 136(1), pages 121-135, January.

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