Indirect cycle time quantile estimation using the Cornish-Fisher expansion

Jennifer M. Bekki, John W. Fowler, Gerald T. MacKulak, Barry L. Nelson

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

This paper proposes a technique for estimating steady-state quantiles from discrete-event simulation models, with particular attention paid to cycle time quantiles of manufacturing systems. The technique is based on the Cornish-Fisher expansion, justified through an extensive empirical study, and is supported with mathematical analysis. It is shown that the technique provides precise and accurate estimates for the most commonly estimated quantiles with minimal data storage and low computational requirements.

Original languageEnglish (US)
Pages (from-to)31-44
Number of pages14
JournalIIE Transactions (Institute of Industrial Engineers)
Volume42
Issue number1
DOIs
StatePublished - Jan 2010

Funding

This research was supported in part by grant 04-F1-1224 from the Factory Operations Research Center (FORCe) that is jointly funded by the Semiconductor Research Corporation (SRC) and by International SEMATECH and in part by a doctoral fellowship sponsored by Intel Corporation and SRC. We also want to thank the referees for their comments and suggestions, which undoubtedly improved the quality of the manuscript.

Keywords

  • Cornish-Fisher expansion
  • Lead time setting
  • Manufacturing
  • Quantile estimation
  • Simulation

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering

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