CELLULAR AUTOMATA MODELS FOR TRAFFIC FLOW WITH "SLOW-TO-START" RULE: EFFECT OF RANDOMIZATION

Najem Moussa
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Najem Moussa: LMSPCPV, Dépt. de Physique, FST, B.P. 509, Boutalamine, Errachidia, Morocco

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 01, 29-43

Abstract: In this paper, we study the effect of randomization probabilitypon the fundamental diagrams of the Nagel–Schreckenberg model (NS) with "slow-to-start" rule introduced by Benjamin, Johnson and Hui (BJH). It is shown that this model exhibits metastable states (which leads to the occurrence of hysteresis) only for very low values of the randomization probability(p≤0.08). Here we propose a simple generalization of the BJH model by introducing a distance-dependent randomization. With such simple generalization, the hysteresis effect and phase separation exist for all values of randomization probability. The new fundamental diagrams are analyzed within the framework of the distributions of time and distance headways.

Keywords: Traffic flow; hysteresis; time headway; distance headway; 89.40.+k; 05.60.-k; 05.65.+b; 45.70.Vn (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S012918310400553X

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