A Stochastic Model for Chain Collisions of Vehicles Equipped With Vehicular Communications
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AuthorGarcía Costa, Carolina; Egea López, Estebán; Tomás Gabarrón, Juan Bautista; García Haro, Juan; Haas, Zygmunt
Research GroupÁrea de Ingeniería Telemática
Knowledge AreaIngeniería Telemática
SponsorsThis work was supported in part by the MICINN/FEDER project under Grant TEC2010-21405-C02-02/TCM (CALM) and in part by Fundación Seneca RM under Grants 00002/CS/08 FORMA and 04549/GERM/06. The work of J. Garcia-Haro was supported by Grant PR2009-0337. The work of E. Egea was supported by the Universidad Politécnica de Cartagena under Grant PMPDI-UPCT-2011. The work of J. Tomas- Gabarron was supported by Grant AP2008-02244. The work of C. Garcia-Costa was supported by Grant 12347/FPI/09.
Bibliographic CitationGARCÍA-COSTA, CAROLINA, EGEA-LOPÉZ, ESTEBAN, TOMÁS-GABARRON, JUAN BAUTISTA, GARCÍA HARO, JOAN, HAAS, ZYGMUNT J. A stochastic model for chain collisions of vehicles equipped with vehicular communications. En IEEE Transactions on intelligent transportation systems, 2011, Nº. 99, p. 1-16. ISSN: 1524-9050
Improvement of traffic safety by cooperative vehicular applications is one of the most promising benefits of vehicular ad hoc networks (VANETs). However, to properly develop such applications, the influence of different driving parameters on the event of vehicle collision must be assessed at an early design stage. In this paper, we derive a stochastic model for the number of accidents in a platoon of vehicles equipped with a warning collision notification system, which is able to inform all the vehicles about an emergency event. In fact, the assumption of communications being used is key to simplify the derivation of a stochastic model. The model enables the computation of the average number of collisions that occur in the platoon, the probabilities of the different ways in which the collisions may take place, as well as other statistics of interest. Although an exponential distribution has been used for the traffic density, it is also valid for different probability dis ...
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