MO<sup>2</sup>TOS: Multi-Fidelity Optimization with Ordinal Transformation and Optimal Sampling

Jie Xu, Si Zhang, Edward Huang, Chun‐Hung Chen, Loo Hay Lee, Nurçin Çelik

Asia Pacific Journal of Operational Research · 2016 · 88 citations · 9 references

Concepts

Abstract

Simulation optimization can be used to solve many complex optimization problems in automation applications such as job scheduling and inventory control. We propose a new framework to perform efficient simulation optimization when simulation models with different fidelity levels are available. The framework consists of two novel methodologies: ordinal transformation (OT) and optimal sampling (OS). The OT methodology uses the low-fidelity simulations to transform the original solution space into an ordinal space that encapsulates useful information from the low-fidelity model. The OS methodology efficiently uses high-fidelity simulations to sample the transformed space in search of the optimal solution. Through theoretical analysis and numerical experiments, we demonstrate the promising performance of the multi-fidelity optimization with ordinal transformation and optimal sampling (MO 2 TOS) framework.

References

9