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A Comparative Study of Procedures for the Multinomial Selection Problem

In: Essays in Production, Project Planning and Scheduling

Author

Listed:
  • Eric Tollefson

    (Georgia Institute of Technology)

  • David Goldsman

    (Georgia Institute of Technology)

  • Anton J. Kleywegt

    (Georgia Institute of Technology)

  • Craig A. Tovey

    (Georgia Institute of Technology)

Abstract

This paper is concerned with the multinomial selection problem (MSP) originally formulated by Bechhofer, Elmaghraby, and Morse (1959). Over the past 50 years, numerous procedures have been developed for finding the most probable multinomial alternative; these procedures attempt to minimize the expected number of trials while exceeding a lower bound on the probability of making a correct selection when the multinomial probabilities satisfy an indifference-zone probability requirement. We examine such MSP procedures, including optimal procedures based on new linear and integer programming methods, provide more accurate and extensive parameter and performance tables for several procedures, and calculate and compare the exact efficiencies of the procedures.

Suggested Citation

  • Eric Tollefson & David Goldsman & Anton J. Kleywegt & Craig A. Tovey, 2014. "A Comparative Study of Procedures for the Multinomial Selection Problem," International Series in Operations Research & Management Science, in: P. Simin Pulat & Subhash C. Sarin & Reha Uzsoy (ed.), Essays in Production, Project Planning and Scheduling, edition 127, chapter 6, pages 123-160, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-9056-2_6
    DOI: 10.1007/978-1-4614-9056-2_6
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