Open Access Open Access  Restricted Access Subscription Access

Probabilistic Behavior and Entropy Variation in Traffic Flow


Affiliations
1 Department of Mechanical Engineering, Techno India College of Technology, Kolkata- 700156, India
2 India Department of Mechanical Engineering, Techno India College of Technology, Kolkata- 700156, India
 

Entropy based approach for anomaly detection in the traffic flow is quite a famous approach. We observe that the variation of entropy values with respect to time and its relation to probability . The application of concept of fluid mechanics in traffic is well known research domain. But though there might be many striking similarities but there is much dissimilarity too. Hence there occur many questions that cannot be answered by these well known concepts. So we take a statistical path and search for an eloquent way to think of a solution.

Keywords

Probabilistic Behavior, Entropy Variation, Traffic Flow.
User
Notifications
Font Size


  • Helbingii, D, Similarities between Granular and Traffic Flow, Institute of Theoretical Physics, University of Stuttgart, Germany.
  • Kumar, A. Sung, M. and Xu, J. Wang, J. Data Streaming Algorithms for Efficient and Accurate Estimation of Flow Size Distribution, Proceedings of the Joint International Conference on Measurement and Modeling of Communication system.
  • Lakhina, A. Crovella, M. and Diote, Mining A nomalies Using Traffic Feture Distributions. Proceedings of The 2005 Conference on Application of Technologies, Architecture and Protocols for Computer Communication.
  • Lee, W. and Xiang, D. Information –Theoretic Measures for Anomaly Detection, Proceedings of the 2001 IEEE Symposium on Security and Privacy.
  • Aw A. and Rascle M., SIAM Journal on Applied Mathematics,Resurrection of "Second Order" Models of Traffic Flow, Vol. 60, No. 3, pp. 916-938, 2000,
  • Aw, A., Klar, A., Rascle, M. and Materne, T., SIAM Journal on Applied Mathematics, Derivation of Continuum Traffic Flow Models from Microscopic Follow-theLeader Models, Vol. 63, No. 1, pp. 259278, 2002.
  • Borsche R., Microscopic and Macroscopic Models for Coupled car Traffic and Pedestrian Flow, Meurer, A. Technische Universität Kaiserslautern, Department of Mathematics, Erwin Schrödinger-Straße, 67663 Kaiserslautern, Germany.
  • Klar, A. Greenberg, J. M. and Rascle, M . SIAM Journal on Applied Mathematics, Congestion on Multilane Highways, Vol. 63, No. 3, pp. 818-833, 2003.
  • Shabaan, K. Comparative Study of Road of Traffic Rules in Qatar compared to Western Countries.
  • Derivation of a First Order Traffic Flow Model of Lighthill Whitham - Richards Type Burger, M. Göttlich, S. and Jung, T., Fraunhofer Institute ITWM, 67663 Kaiserslautern, Germany University of Mannheim, Department of Mathematics, 68131 Mannheim, Germany.

Abstract Views: 457

PDF Views: 160




  • Probabilistic Behavior and Entropy Variation in Traffic Flow

Abstract Views: 457  |  PDF Views: 160

Authors

Argha Bose
Department of Mechanical Engineering, Techno India College of Technology, Kolkata- 700156, India
Anustup Chatterjee
India Department of Mechanical Engineering, Techno India College of Technology, Kolkata- 700156, India

Abstract


Entropy based approach for anomaly detection in the traffic flow is quite a famous approach. We observe that the variation of entropy values with respect to time and its relation to probability . The application of concept of fluid mechanics in traffic is well known research domain. But though there might be many striking similarities but there is much dissimilarity too. Hence there occur many questions that cannot be answered by these well known concepts. So we take a statistical path and search for an eloquent way to think of a solution.

Keywords


Probabilistic Behavior, Entropy Variation, Traffic Flow.

References





DOI: https://doi.org/10.21843/reas%2F2017%2F22-25%2F184060