Statistical testing of optimality conditions in multiresponse simulation-based optimization

Bert Bettonvil, Enrique Del Castillo, Jack P C Kleijnen

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


This article studies simulation-based optimization with multiple outputs. It assumes that the simulation model has one random objective function and must satisfy given constraints on the other random outputs. It presents a statistical procedure for testing whether a specific input combination (proposed by some optimization heuristic) satisfies the Karush-Kuhn-Tucker (KKT) first-order optimality conditions. The article focuses on "expensive" simulations, which have small sample sizes. The article applies the classic t test to check whether the specific input combination is feasible, and whether any constraints are binding; next, it applies bootstrapping (resampling) to test the estimated gradients in the KKT conditions. The new methodology is applied to three examples, which gives encouraging empirical results.

Original languageEnglish (US)
Pages (from-to)448-458
Number of pages11
JournalEuropean Journal of Operational Research
Issue number2
StatePublished - Dec 1 2009

All Science Journal Classification (ASJC) codes

  • Management Science and Operations Research
  • Modeling and Simulation
  • Information Systems and Management


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