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(searched for: doi:10.1088/0305-4470/39/50/002)
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, Zineb Tahiri, Abdelilah Benyoussef, Abdallah El Kenz
Published: 12 May 2020
Accident Analysis & Prevention, Volume 142; https://doi.org/10.1016/j.aap.2020.105507

The publisher has not yet granted permission to display this abstract.
Chenhao Dong, Rongguo Ma, Yujie Yin, Borui Shi, Wanting Zhang, Yidan Zhang
Mathematical Problems in Engineering, Volume 2020, pp 1-11; https://doi.org/10.1155/2020/2529816

Abstract:
In recent years, with the rapid development of China’s logistics industry and urban service industry, electric bicycles have gradually become an important means of transportation in cities due to their flexibility, green technology, and low operating costs. Because electric bicycles travel though motor vehicle lanes and nonmotor vehicle lanes, the conflict between motor and nonmotor vehicles has become increasingly prominent, and the safety situation is not optimistic. However, most theories and models of mixed traffic flow are based on motor vehicles and bicycles and few involve electric bicycles. To explore the traffic safety situation in an urban mixed traffic environment, this paper first uses cellular automata (CA) to establish a three-strand mixed traffic flow model of motor vehicles, electric bicycles, and bicycles and verifies the reliability of the model by using a MATLAB simulation based on the actual survey data. Then, using the technology of traffic conflicts and the conflict rate as the index to evaluate the traffic safety situation, the change in the conflict rate with different road occupancies and different proportional coefficients of motor vehicles is studied. In the end, the conflict rate is compared between the mixed traffic flow and the setting of a physical isolation divider, which provides some suggestions on when to set a physical isolation divider to separate motor vehicles from nonmotor vehicles. The results show that in a mixed traffic environment, the conflict rate first increases and then decreases with increasing road occupancy and reaches a peak when the road occupancy is 0.6. In addition, in mixed traffic environments, the conflict rate increases with an increasing proportional coefficient of the motor vehicle. When the road occupancy rate is within the range of [0.6, 0.9] or when the proportional coefficient of motor vehicle is between [0.8, 0.9], a physical isolation divider can be set to separate motor vehicles and nonmotor vehicles from the space to improve traffic safety.
Jun Tanimoto
A New Construction of Ricardian Theory of International Values pp 105-154; https://doi.org/10.1007/978-981-13-2769-8_3

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, , Katsuhiro Nishinari
Journal of Statistical Mechanics: Theory and Experiment, Volume 2017; https://doi.org/10.1088/1742-5468/aa5a73

Abstract:
A bottleneck can largely deteriorate the flow, such as a traffic light or an on-ramp at a road. To alleviate bottleneck situations, one of the important strategies is to control input rate to suit the state of the road. In this study, we propose an effective velocity control of traveling particles, in which the particle velocity depends on the state of a bottleneck. To analyze our method, we modify the totally asymmetric simple exclusion process (TASEP) and introduce a slow-to-start rule, which we refer to as controlled TASEP in the present paper. Flow improvement is verified in numerical simulations and theoretical analyses by using controlled TASEP.
, Nobutaka Nakazono,
Journal of Physics A: Mathematical and Theoretical, Volume 49; https://doi.org/10.1088/1751-8113/49/49/495201

Abstract:
In this paper, we construct two lattices from the τ functions of -surface q-Painlevé equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the -surface q-Painlevé equations.
, Kousuke Nakamura
Physica A: Statistical Mechanics and its Applications, Volume 459, pp 92-99; https://doi.org/10.1016/j.physa.2016.04.023

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Jun Tanimoto
Fundamentals of Evolutionary Game Theory and its Applications pp 159-182; https://doi.org/10.1007/978-4-431-54962-8_5

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, Katsuhiro Nishinari
Physical Review E, Volume 89; https://doi.org/10.1103/physreve.89.042813

Abstract:
Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to the time-dependent effect originating from the speed of pedestrians, the flow of the model varies even if the average hopping probability at the last site is the same. We analyze the phenomenon by using two types of approximations: extended two-cluster approximation and isolated rarefaction wave approximation. The approximate results capture intriguing features of the model. Moreover, we discuss the situation where vehicles turn right at the intersection by adding a traffic light at the boundary condition. The result suggests that pedestrian scrambles are valid to eliminate traffic congestion in the right-turn lane.
Lim Eng Aik, Tan Wee Choon
Journal of Applied Mathematics, Volume 2012, pp 1-17; https://doi.org/10.1155/2012/765270

Abstract:
A modified dynamic cellular automata model is proposed to simulate the evacuation of occupants from a room with obstacles. The model takes into account some factors that play an important role in an evacuation process, such as human emotions and crowd density around the exits. It also incorporates people’s ability to select a less congested exit route, a factor that is rarely investigated. The simulation and experimental results show that modifications to the exits provide reasonable improvement to evacuation time, after taking into account the fact that people will tend to select exit routes based on the distance to the exits and the crowd density around the exits. In addition, the model is applied to simulations of classroom and restaurant evacuation. Results obtained with the proposed model are compared with those of several existing models. The outcome of the comparison demonstrates that it performs better than existing models.
Yohei Taniguchi, Hideyuki Suzuki
Published: 1 January 2012
Computer Vision, Volume 7495, pp 827-834; https://doi.org/10.1007/978-3-642-33350-7_86

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Ali Ghandour, Kassem Fawaz, Hassan Artail
2011 IEEE 7th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob) pp 9-16; https://doi.org/10.1109/wimob.2011.6085342

Abstract:
The Wireless Access in Vehicular Environments (WAVE) protocol stack is one of the most important protocols proposed to standardize and allocate spectrum for vehicle-to-vehicle and vehicle-to-infrastructure communication. In a previous work, we proved that WAVE faces a spectrum scarcity problem which hinders reliable exchange of safety information. To overcome this problem, we proposed a system that applies cognitive networks principles to WAVE as to increase the spectrum allocated to the control channel (CCH) by the IEEE 802.11p amendment, where all safety information is transmitted. However, the decision making process in our previous work did not utilize the extra spectrum efficiently as it was not allocated according to the contention level experienced by the vehicle. In this paper, we suggest a system that employs a fuzzy logic system (FLS) to dynamically assign additional spectrum from the ISM band to the CCH. This system, which we call FCVANET, assigns the minimum necessary additional bandwidth to relieve the contention. The FLS takes as input 2 parameters, the message delay and the un-transmitted packets and utilizes a feedback loop. Our simulations show that the proposed system allocates bandwidth more efficiently in accordance with the contention level faced by the vehicles. The system succeeds to relieve contention by reducing delay and the number of un-transmitted packets.
Katsuhiro Nishinari, Mitsuru Iwamura, Yukiko Umeno Saito, Tsutomu Watanabe
Journal of Physics: Conference Series, Volume 221; https://doi.org/10.1088/1742-6596/221/1/012006

Akiyasu Tomoeda, Daisuke Shamoto, Ryosuke Nishi, Kazumichi Ohtsuka, Katsuhiro Nishinari
Advanced Methods, Techniques, and Applications in Modeling and Simulation pp 308-315; https://doi.org/10.1007/978-4-431-53868-4_35

The publisher has not yet granted permission to display this abstract.
Published: 19 February 2009
Compositio Mathematica, Volume 145, pp 747-772; https://doi.org/10.1112/s0010437x08003862

Abstract:
We introduce theτ-function of a difference rational connection (d-connection) and its isomonodromy transformations. We show that in a continuous limit ourτ-function agrees with the Jimbo–Miwa–Uenoτ-function. We compute theτ-function for the isomonodromy transformations leading to difference Painlevé V and difference Painlevé VI equations. We prove that the gap probability for a wide class of discrete random matrix type models can be viewed as theτ-function for an associated d-connection.
Ren-Yong Guo,
Journal of Physics A: Mathematical and Theoretical, Volume 41; https://doi.org/10.1088/1751-8113/41/38/385104

Abstract:
Considering the fact that the interaction among pedestrians in a high-density crowd is asymmetric, accumulative and transferable, we present a modified floor field cellular automata model for simulating the pedestrian evacuation. In this model, the space for evacuation is discretized into smaller cells, every pedestrian is allowed to occupy multiple cells and the interaction among pedestrians is characterized by their own inertia and the forces received or to be imposed on others. By numerical simulation the effects of the pedestrian movement manner and the model parameters on evacuation efficiency are investigated. The results obtained by our modified model are compared with those by the original floor field model.
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