Theoretical investigation of synchronous totally asymmetric simple exclusion process on lattices with two consecutive junctions in multiple-input-multiple-output traffic system |
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Authors: | Xiao Song Cai Jiu-Ju Wang Rui-Li Liu Ming-Zhe and Liu Fei |
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Institution: | School of Engineering and Advanced Technology, Massey University,
Palmerston North, New Zealand; SEPA Key Laboratory on Eco-Industry, Northeastern University,
Shenyang 110004, China |
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Abstract: | In this paper, we study the dynamics of the synchronous
totally asymmetric simple exclusion process (TASEP) on lattices with
two consecutive junctions in a multiple-input-multiple-output (MIMO)
traffic system, which consists of m sub-chains for the input and the
output, respectively. In the middle of the system, there are N
(nN
synchronously increasing, the vertical phase boundary moves toward
the right and the horizontal phase boundary moves toward the upside in
the phase diagram. The boundary conditions of the system as well as
the numbers of input and output determine the no-equilibrium
stationary states, stationary-states phases, and phase boundaries.
We use the results to compare with computer simulations and find
that they are in very good agreement with each other. |
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Keywords: | TASEPs Monte Carlo simulations traffic flow junction |
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