Design and analysis of computer experiments with branching and nested factors

Ying Hung, V. Roshan Joseph, Shreyes N. Melkote

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


In many experiments, some of the factors exist only within the level of another factor. Such factors are often called nested factors. A factor within which other factors are nested is called a branching factor. Suppose, for example, that we want to experiment with two processing methods. The factors involved in these two methods can be different. Thus in this experiment, the processing method is a branching factor, and the other factors are nested within the branching factor. The design and analysis of experiments with branching and nested factors are challenging and have not received much attention in the literature. Motivated by a computer experiment in a machining process, we have developed optimal Latin hypercube designs and kriging methods that can accommodate branching and nested factors. Through the application of the proposed methods, optimal machining conditions and tool edge geometry are attained, which resulted in a remarkable improvement in the machining process.

Original languageEnglish (US)
Pages (from-to)354-365
Number of pages12
Issue number4
StatePublished - Nov 1 2009

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics


  • Finite element model
  • Kriging
  • Latin hypercube design

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