Many neighbour interaction and non-locality in traffic models

Wilson, R.E., Berg, P., Hooper, S. and Lunt, G. (2004) Many neighbour interaction and non-locality in traffic models. The European Physical Journal B, 39 (3), 397-408. (doi:10.1140/epjb/e2004-00205-y).

Record type: Article

Abstract

The optimal-velocity model, as proposed by Bando et al. [1], shows unrealistic values of the acceleration for various optimal-velocity functions [2,3]. We discuss different approaches of how to correct this problem. Multiple look-ahead (many-neighbour interaction) models are the most promising candidates in reducing accelerations and decelerations to realistic values. We focus on two such models and, in particular, their linear stability and how these affect the vehicle dynamics and wave solutions. As found earlier [4], multiple look-ahead models reproduce many real flow features, and our results further support the necessity of this ansatz. However, the problem of non-locality arises when they are transformed into the corresponding continuum model. We discuss three methods of how to interpret many-neighbour interaction in macroscopic models

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