Enhancing stochastic kriging metamodels with gradient estimators

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42 Scopus citations

Abstract

Stochastic kriging is a new metamodeling technique for effectively representing the mean response surface implied by a stochastic simulation; it takes into account both stochastic simulation noise and uncertainty about the underlying response surface of interest. We show theoretically, through some simplified models, that incorporating gradient estimators into stochastic kriging tends to significantly improve surface prediction. To address the issue of which type of gradient estimator to use, when there is a choice, we briefly review stochastic gradient estimation techniques; we then focus on the properties of infinitesimal perturbation analysis and likelihood ratio/score function gradient estimators and make recommendations. To conclude, we use simulation experiments with no simplifying assumptions to demonstrate that the use of stochastic kriging with gradient estimators provides more reliable prediction results than stochastic kriging alone.

Original languageEnglish (US)
Pages (from-to)512-528
Number of pages17
JournalOperations Research
Volume61
Issue number2
DOIs
StatePublished - Mar 2013

Keywords

  • Gradient estimation
  • Metamodeling
  • Stochastic simulation

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research

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