Abstract
We study dynamical behavior of a few trucks which shuttle between an origin and a destination repeatedly. One loads goods on to trucks at the origin and the truck unloads at the destination. We present the dynamical model for cyclic trucking. The model is described in terms of only one nonlinear map defined from the vector Ti(n), i = 1,2,…,N for N trucks where Ti(n) is the arrival time of truck i at the origin on trip n. The study is limited to the case of two trucks. We clarify the time variations of time headway and tour time for the truck schedule. The distinct dynamical states (the regular, periodic, and chaotic motions) are found by varying delay time T min and loading parameter Γ. It is shown that dynamical transitions occur among the regular, periodic and chaotic motions. In periodic and chaotic motions, the tour time of trucks fluctuates highly and the carrying goods vary the tour time accordingly.
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