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CIVIL & ENVIRONMENTAL ENGINEERING

Surrogate-based optimization approach for capacitated hub location problem with uncertainty

ORCID Icon &
Article: 2185948 | Received 04 Oct 2022, Accepted 25 Feb 2023, Published online: 05 Mar 2023

Figures & data

Figure 1. Notional sketch of a hub-and-spoke system.

Figure 1. Notional sketch of a hub-and-spoke system.

Figure 2. Overview of the proposed methodology.

Figure 2. Overview of the proposed methodology.

Figure 3. Constrained design space with hub location candidates.

Figure 3. Constrained design space with hub location candidates.

Figure 4. Schematic of the network system implemented for this research.

Figure 4. Schematic of the network system implemented for this research.

Figure 5. Diagram of the MLP-based surrogate model structure.

Figure 5. Diagram of the MLP-based surrogate model structure.

Figure 6. Actual by predicted plot for the MREs.

Figure 6. Actual by predicted plot for the MREs.

Figure 7. Notional sketch of the Monte-Carlo simulation for input–output mapping.

Figure 7. Notional sketch of the Monte-Carlo simulation for input–output mapping.

Figure 8. Monte-Carlo simulation results for transportation cost w.r.t. latitude.

Figure 8. Monte-Carlo simulation results for transportation cost w.r.t. latitude.

Figure 9. Monte-Carlo simulation results for transportation cost w.r.t. longitude.

Figure 9. Monte-Carlo simulation results for transportation cost w.r.t. longitude.

Figure 10. Near optimum exploration for the new hub facility location.

Figure 10. Near optimum exploration for the new hub facility location.

Figure 11. Diagram of the MLP-based surrogate model structure used for sensitivity analysis on hub capacity uncertainty.

Figure 11. Diagram of the MLP-based surrogate model structure used for sensitivity analysis on hub capacity uncertainty.

Figure 12. Monte-Carlo simulation results for sensitivity analysis on hub capacity uncertainty.

Figure 12. Monte-Carlo simulation results for sensitivity analysis on hub capacity uncertainty.

Data availability statement

The data are not publicly available due to restrictions (e.g., they contain company-sensitive information).