An enhanced lognormal selection procedure

  • Authors:
  • E. Jack Chen

  • Affiliations:
  • BASF Corporation, Rockaway, USA 07866-0909

  • Venue:
  • Discrete Event Dynamic Systems
  • Year:
  • 2011

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Abstract

John and Chen (IEEE Trans Reliab 55(1):135---148, 2006) propose an exact two-stage solution based on the Least Favorable Configuration (LFC) to the ranking and selection problem of determining the best system from k lognormal populations. Lognormal density is commonly used to model certain lifetimes in reliability and survival analysis. It is known that selection procedures that are developed based on the LFC are conservative and become inefficient when the number of systems is large. We propose to take into account the differences of sample values within the parameter of interest when determining sample sizes, which can significantly increase the efficiency of the selection procedures. We also sequentialize the selection procedure and provide a procedure for estimating the constant needed to apply the solution. An experimental performance evaluation demonstrates the validity and efficiency of the enhanced lognormal selection procedure.