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An accelerated-time simulation of car traffic on a motorway using a CAS

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Listed:
  • Aguilera, Gabriel
  • Galán, José Luis
  • García, José Manuel
  • Mérida, Enrique
  • Rodríguez, Pedro

Abstract

In this paper we introduce a new model, called the GRAM model, that provides an accelerated-time simulation of traffic on a motorway. The model provides an accelerated-time simulation using ideas and techniques from both cellular automata and neural network models. It has been implemented in a package using a Computer Algebra System (CAS) for the development of algorithms and a Java environment to display the simulated results graphically.

Suggested Citation

  • Aguilera, Gabriel & Galán, José Luis & García, José Manuel & Mérida, Enrique & Rodríguez, Pedro, 2014. "An accelerated-time simulation of car traffic on a motorway using a CAS," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 21-30.
    • Handle: RePEc:eee:matcom:v:104:y:2014:i:c:p:21-30
    DOI: 10.1016/j.matcom.2012.03.010
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    References listed on IDEAS

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    1. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 289-303, August.
    2. Aguilera, Gabriel & Luis Galán, José & Madrid, Rafael & Martínez, Antonio Manuel & Padilla, Yolanda & Rodríguez, Pedro, 2010. "Automated generation of contrapuntal musical compositions using probabilistic logic in Derive," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1200-1211.
    3. Roanes-Lozano, Eugenio & Laita, Luis M. & Roanes-Macı́as, Eugenio, 2004. "An accelerated-time simulation of departing passengers’ flow in airport terminals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 67(1), pages 163-172.
    4. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
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    Cited by:

    1. Raja, Muhammad Asif Zahoor & Samar, Raza & Manzar, Muhammad Anwar & Shah, Syed Muslim, 2017. "Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley–Torvik equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 139-158.
    2. Galán-García, José L. & Aguilera-Venegas, Gabriel & Galán-García, María Á. & Rodríguez-Cielos, Pedro & Atencia-Mc.Killop, Iván, 2018. "Improving CAS capabilities: New rules for computing improper integrals," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 525-540.

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