Classical and fractal analysis of vehicle demand on the ferry-boat system

Marcelo A. Moret, Liliane Q. Antonio and Hernane B.B. Pereira

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 1657-1661

Abstract: Transportation problems are important complex systems because of the increased number of vehicles in cities. In this paper, we study time series of vehicle demand by using the ferry-boat system between Salvador city and Itaparica island, in Bahia, Brazil. We compare the traditional demand analysis (ARIMA method) with the self-affine ones (the scaling exponent α and the density of crossing points ρ). In addition, taking into account the inherent self-affine behavior we study the stationary states of this dynamic process by using a nonlinear Fokker–Planck equation. The present findings indicate that the scaling exponent α describes some properties of flux of vehicles using the ferry-boat system. The behavior of α gives an alternative explanation about demand analysis, and the nonlinear Fokker–Planck equation presents a solution close to the stationary behavior of this complex dynamical analysis.

Keywords: Tsallis statistics; Fokker–Planck equation; Demand analysis (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:1657-1661

DOI: 10.1016/j.physa.2011.10.016

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