Mathematical Modelling for an Optimal Monitoring Design in Quality Control of Traffic

  1. Vázquez-Méndez, Miguel E. 1
  2. Alvarez-Vázquez, Lino J. 2
  3. Casal, Gerardo 1
  4. García-Chan, Néstor 3
  5. Martínez, Aurea 2
  1. 1 Departamento de Matemática Aplicada, EPS de Enxeñaría, Universidade de Santiago de Compostela, 27002, Lugo, Spain
  2. 2 Departamento de Matemática Aplicada II, EI Telecomunicación, Universidade de Vigo, 36310, Vigo, Spain
  3. 3 Departamento de Física, CU Ciencias Exactas e Ingenierías, Universidad de Guadalajara, 44420, Guadalajara, Mexico
Libro:
EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

ISBN: 9783319977720 9783319977737

Ano de publicación: 2018

Páxinas: 342-351

Tipo: Capítulo de libro

DOI: 10.1007/978-3-319-97773-7_31 GOOGLE SCHOLAR lock_openAcceso aberto editor

Resumo

This paper deals with the monitoring of traffic flow and air pollution on an urban road. Specifically, the location of monitoring stations is studied, looking for points where obtained measures can be representative of the surrounding areas. In order to do it, a 1D mathematical model for obtaining the traffic flow on an urban road network is combined with a 2D model for air pollution. From the numerical estimations of these parameters, the problem of designing the monitoring strategy is formulated as a Mixed Integer Multiobjective Optimization Problem (MIMOP), which is solved by an ad-hoc procedure. Finally, this technique is applied to a simplified but realistic situation in the Guadalajara Metropolitan Area (Mexico).

Referencias bibliográficas

  • Alvarez-Vázquez, L.J., García-Chan, N., Martínez, A., Vázquez-Méndez, M.E.: Numerical simulation of air pollution due to traffic flow in urban networks. J. Comput. Appl. Math. 326, 44–61 (2017). https://doi.org/10.1016/j.cam.2017.05.017
  • Alvarez-Vázquez, L.J., Casal, G., Martínez, A., Vázquez-Méndez, M.E.: A novel formulation for designing a monitoring strategy: application to the design of a river quality monitoring system. Environ. Model. Assess. 22, 279–289 (2017). https://doi.org/10.1007/s10666-016-9537-z
  • Alvarez-Vázquez, L.J., García-Chan, N., Martínez, A., Vázquez-Méndez, M.E.: Optimal control of urban air pollution related to traffic flow in road networks. Math. Control Rel. Fields 8, 177–193 (2018). https://doi.org/10.3934/mcrf.2018008
  • Goatin, P., Göttlich, S., Kolb, O.: Speed limit and ramp meter control for traffic flow networks. Eng. Optim. 48, 1121–1144 (2016). https://doi.org/10.1080/0305215X.2015.1097099
  • Garavello, M., Han, K., Piccoli, B.: Models for Vehicular Traffic on Networks. AIMS Series on Applied Mathematics, vol. 9. American Institute of Mathematical Sciences (2016)
  • Krishnamurthy, P., Khorrami, F.: Optimal sensor placement for monitoring of spatial networks. IEEE T. Autom. Sci. Eng. 15, 33–44 (2018). https://doi.org/10.1109/TASE.2016.2573818
  • Nelder, J.A., Mead, R.: A simplex method for function minimization. Computer J. 7, 308–313 (1965). https://doi.org/10.1093/comjnl/7.4.308
  • Ramírez-Sánchez, H.U., Andrade-García, M.D., Bejaran, R., García-Guadalupe, M.E., Wallo-Vázquez, A., Pompa-Toledano, A.C., De la Torre-Villasenor, O.: The spatial-temporal distribution of the atmospheric polluting agents during the period 2000-2005 in the Urban Area of Guadalajara, Jalisco, Mexico. J. Hazard. Mater. 165, 1128–1141 (2009). https://doi.org/10.1016/j.jhazmat.2008.10.127
  • Vázquez-Méndez, M.E., Alvarez-Vázquez, L.J., García-Chan, N., Martínez, A.: Optimal management of an urban road network with an environmental perspective. Comput. Math. Appl. (2018, in Press). https://doi.org/10.1016/j.camwa.2018.06.021
  • Zaldei, A., Camilli, F., De Filippis, T., Di Gennaro, F., Di Lonardo, S., Dini, F., Gioli, B., Gualtieri, G., Matese, A., Nunziati, W., Rocchi, L., Toscano, P., Vagnoli, C.: An integrated low-cost road traffic and air pollution monitoring platform for next citizen observatories. Transp. Res. Procedia 24, 531–538 (2017). https://doi.org/10.1016/j.trpro.2017.06.002