Abstract
Security and emergency services are among the biggest concerns for both authorities and citizens. Better adapting those services to inhabitants is a key goal for smart cities. All emergency services have their own peculiarities, and in particular, the control of police patrols in urban areas is a complex problem connected to the dynamic vehicle routing and traveling salesman problems. We propose in this paper two bi-objective integer linear programming formulations for the police patrol routing problem, which differs from the vehicle routing and travelling salesman problems in which not all the nodes in the city must be served, and there is no “depot”. The first formulation is more precise but computationally costly, and the second one is a relaxation that standard integer linear programming solvers can easily solve. The experimental analysis shows that the complete Pareto front can be computed for the relaxed formulation, providing valuable information to solve the precise formulation in future work. In particular, we analyze the number of patrols and the length of the routes they traverse.
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Notes
- 1.
In theory, for any value of \(\lambda >0\) the solution found is efficient, but in practice numerical errors in floating point operations can result in non-efficient solutions.
- 2.
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Acknowledgements
This research is partially funded by the Universidad de Málaga, Andalucía Tech, Consejería de Economía y Conocimiento de la Junta de Andaluía and FEDER under grant numbers UMA18-FEDERJA-003 (PRECOG) and UMA-CEIATECH-07 (DataPol). It was also funded by MCIN/AEI/ 10.13039/501100011033 under grant number PID 2020-116727RB-I00 (HUmove) and TAILOR ICT-48 Network (No 952215) funded by EU Horizon 2020 research and innovation programme. Thanks to the Supercomputing and Bioinnovation Center (SCBI) of the University of Málaga for their provision of computational resources and support.
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Toutouh, J., Chicano, F., Gil-Merino, R. (2023). Distribution of Police Patrols as a Covering Problem in Smart Cities: Fuengirola Use Case. In: Nesmachnow, S., Hernández Callejo, L. (eds) Smart Cities. ICSC-CITIES 2022. Communications in Computer and Information Science, vol 1706. Springer, Cham. https://doi.org/10.1007/978-3-031-28454-0_4
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