Passenger's fluctuation and chaos on ferryboats

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2007, vol. 383, issue 2, 613-623

Abstract: We study the fluctuation of shipping passengers on a few ferryboats which shuttle between an origin and a destination repeatedly. We present the dynamical model for the ferryboats. The model is described in terms of nonlinear maps defined from the vectors Ti(n) and Wi(n), i=1, 2, …, N for N ferryboats where Ti(n) is the arrival time of ferryboat i at the origin on trip n and Wi(n) the number of passengers waiting at the origin on trip n. We clarify the fluctuations of shipping passengers and tour time for the ferry schedule. It is found that the dynamical transitions among the regular, periodic, and chaotic motions occur by varying the ferry's capacity Fmax, headway Tmin, and loading parameter ΓΠ. Even if the second ferryboat follows the leader (first ferryboat) keeping the constant headway, the passengers shipping on the second fluctuate highly when the parameters take specific values.

Keywords: Chaos; Ferryboat schedule; Traffic dynamics; Nonlinear map (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:383:y:2007:i:2:p:613-623

DOI: 10.1016/j.physa.2007.05.002

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