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Fully sequential selection procedures with control variates

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  • Shing Tsai
  • Barry Nelson

Abstract

Fully sequential selection procedures have been developed in the field of stochastic simulation to find the simulated system with the best expected performance when the number of alternatives is finite. Kim and Nelson proposed the procedure to allow for unknown and unequal variances and the use of common random numbers. approximates the raw sum of differences between observations from two systems as a Brownian motion process with drift and uses a triangular continuation region to decide the stopping time of the selection process. In this paper new fully sequential selection procedures are derived that employ a more effective sum of differences, which is called a controlled sum. Two provably valid procedures and an approximate procedure are described. Empirical results and a realistic illustration are provided to compare the efficiency of these procedures with other procedures that solve the same problem.[Supplemental materials are available for this article. Go to the publisher's online edition of IIE Transactions for the following supplemental resources: Proofs and guidelines to choose appropriate parameters.]

Suggested Citation

  • Shing Tsai & Barry Nelson, 2010. "Fully sequential selection procedures with control variates," IISE Transactions, Taylor & Francis Journals, vol. 42(1), pages 71-82.
    • Handle: RePEc:taf:uiiexx:v:42:y:2010:i:1:p:71-82
    DOI: 10.1080/07408170903228942
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    Cited by:

    1. Tsai, Shing Chih & Chu, I-Hao, 2012. "Controlled multistage selection procedures for comparison with a standard," European Journal of Operational Research, Elsevier, vol. 223(3), pages 709-721.
    2. Shing Chih Tsai & Chen Hao Kuo, 2012. "Screening and selection procedures with control variates and correlation induction techniques," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(5), pages 340-361, August.
    3. Shing Chih Tsai & Jun Luo & Chi Ching Sung, 2017. "Combined variance reduction techniques in fully sequential selection procedures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(6), pages 502-527, September.
    4. Shing Chih Tsai, 2013. "Rapid Screening Procedures for Zero-One Optimization via Simulation," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 317-331, May.

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