A Bayesian approach for multiple criteria decision making with applications in Design for Six Sigma

R. Rajagopal, E. Del Castillo

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Linking end-customer preferences with variables controlled at a manufacturing plant is a main idea behind popular Design for Six Sigma management techniques. Multiple criteria decision making (MCDM) approaches can be used for such purposes, but in these techniques the decision-maker's (DM) utility function, if modelled explicitly, is considered known with certainty once assessed. Here, a new algorithm is proposed to solve a MCDM problem with applications to Design for Six Sigma based on a Bayesian methodology. At a first stage, it is assumed that there are process responses that are functions of certain controllable factors or regressors. This relation is modelled based on experimental data. At a second stage, the utility function of one or more DMs or customers is described in a statistical model as a function of the process responses, based on surveys. This step considers the uncertainty in the utility function(s) explicitly. The methodology presented then maximizes the probability that the DM's or customer's utility is greater than some given lower bound with respect to the controllable factors of the first stage. Both stages are modelled with Bayesian regression techniques. The advantages of using the Bayesian approach as opposed to traditional methods are highlighted.Journal of the Operational Research Society (2007) 58, 779-790. doi:10.1057/palgrave.jors. 2602184 Published online 12 April 2006.

Original languageEnglish (US)
Pages (from-to)779-790
Number of pages12
JournalJournal of the Operational Research Society
Issue number6
StatePublished - Jun 2007

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Strategy and Management
  • Statistics, Probability and Uncertainty
  • Management Science and Operations Research


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