An Optimal Model Based on Queueing Theory for the Problem of Inspection Station Location in a Traffic Network

  • Authors:
  • Yinzhen Li;Ruichun He;Yaohuang Guo

  • Affiliations:
  • Lanzhou Jiaotong University, China;Lanzhou Jiaotong University, China;Southwest Jiaotong University, China

  • Venue:
  • ICNC '07 Proceedings of the Third International Conference on Natural Computation - Volume 05
  • Year:
  • 2007

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Abstract

Determining the appropriate locations for inspection stations in a traffic network is a special kind of flow in- terception problem. It has very important applications in the fields of traffic management and police defense man- agement. It is of great significance to research this prob- lem. Based on the analysis of the characteristics of traf- fic flow, and on the assumption that the interarrival times of the cars follow Poisson distribution and the service time follows negative exponential distribution, this paper intends to research that with the case of the constraints of the ex- pected car queue length, the expected car waiting time, the server busy rate and inspection station capacity taken into account, and based on queueing theory, a non-linear inte- ger programming model for the problem of inspection sta- tion location is formulated. Finally, a numerical example is given.