Black-Box Simulation Optimization with Quantile Constraints: An Inventory Case Study


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Angün M. E., Kleijnen J. P.

Winter Simulation Conference 2024, Florida, United States Of America, 15 - 18 December 2024, pp.3506-3517

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/wsc63780.2024.10838851
  • City: Florida
  • Country: United States Of America
  • Page Numbers: pp.3506-3517
  • Galatasaray University Affiliated: Yes

Abstract

We apply a recent variant of “efficient global optimization” (EGO). EGO is closely related to Bayesian optimization (BO): both EGO and BO treat the simulation model as a black box, and use a Kriging metamodel or Gaussian process. The recent variant of EGO combines (i) EGO for unconstrained optimization, and (ii) the Karush-Kuhn-Tucker optimality conditions for constrained optimization. EGO sequentially searches for the global optimum. We apply this variant and a benchmark EGO variant to an (s,S) inventory model. We aim to minimize the mean inventory costs—excluding disservice costs—while satisfying a prespecified threshold for the 90%-quantile of the disservice level. Our numerical results imply that the mean inventory costs increase by 2.5% if management is risk-averse instead of risk-neutral—using the mean value. Comparing the two EGO variants shows that these variants do not give significantly different results, for this application.