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An artificial neural network meta-model for constrained simulation optimization

Ali Mohammad Nezhad and Hashem Mahlooji
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Ali Mohammad Nezhad: Sharif University of Technology, Tehran, Iran
Hashem Mahlooji: Sharif University of Technology, Tehran, Iran

Journal of the Operational Research Society, 2014, vol. 65, issue 8, 1232-1244

Abstract: This paper presents artificial neural network (ANN) meta-models for expensive continuous simulation optimization (SO) with stochastic constraints. These meta-models are used within a sequential experimental design to approximate the objective function and the stochastic constraints. To capture the non-linear nature of the ANN, the SO problem is iteratively approximated via non-linear programming problems whose (near) optimal solutions obtain estimates of the global optima. Following the optimization step, a cutting plane-relaxation scheme is invoked to drop uninformative estimates of the global optima from the experimental design. This approximation is iterated until a terminating condition is met. To study the robustness and efficiency of the proposed algorithm, a realistic inventory model is used; the results are compared with those of the OptQuest optimization package. These numerical results indicate that the proposed meta-model-based algorithm performs quite competitively while requiring slightly fewer simulation observations.

Date: 2014
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