广西科学
廣西科學
엄서과학
Guangxi Sciences
2015年
4期
357-361
,共5页
行人流%优化速度模型%行人交通拥堵
行人流%優化速度模型%行人交通擁堵
행인류%우화속도모형%행인교통옹도
pedestrian flow%optimal velocity model%congestion of pedestrian traffic
【目的】通过分析行人流非对称作用的二维优化速度改进模型的稳定性,探讨行人交通流拥堵的临界行为。【方法】在二维优化速度模型基础上,用非对称作用力函数形式代替原来的对称力函数,并考虑后方行人的作用强度,提出一个改进的二维优化速度模型。【结果】通过线性稳定性分析得出沿ψ=0,π/6,π/3,π/2方向传播的横波模式和纵波模式的稳定性条件,以及改进后的模型相图。在扰动波沿 x 轴传播的情况下,行人流的稳定性与敏感性系数 a 、行人间的距离 r 以及后方行人的作用强度λ同时相关；在其它情况下,稳定性条件都只与行人间的距离 r 有关。改进的模型中沿着 x 轴方向传播的纵波模式的临界曲线沿着 r 轴向左移动,且临界曲线下方的区域变得更小；而沿着 x 轴方向传播的横波模式的临界曲线沿着 r 轴向右移动,且临界曲线下方的区域变大。【结论】后方行人的作用强度对行人交通拥堵有较大的影响。
【目的】通過分析行人流非對稱作用的二維優化速度改進模型的穩定性,探討行人交通流擁堵的臨界行為。【方法】在二維優化速度模型基礎上,用非對稱作用力函數形式代替原來的對稱力函數,併攷慮後方行人的作用彊度,提齣一箇改進的二維優化速度模型。【結果】通過線性穩定性分析得齣沿ψ=0,π/6,π/3,π/2方嚮傳播的橫波模式和縱波模式的穩定性條件,以及改進後的模型相圖。在擾動波沿 x 軸傳播的情況下,行人流的穩定性與敏感性繫數 a 、行人間的距離 r 以及後方行人的作用彊度λ同時相關；在其它情況下,穩定性條件都隻與行人間的距離 r 有關。改進的模型中沿著 x 軸方嚮傳播的縱波模式的臨界麯線沿著 r 軸嚮左移動,且臨界麯線下方的區域變得更小；而沿著 x 軸方嚮傳播的橫波模式的臨界麯線沿著 r 軸嚮右移動,且臨界麯線下方的區域變大。【結論】後方行人的作用彊度對行人交通擁堵有較大的影響。
【목적】통과분석행인류비대칭작용적이유우화속도개진모형적은정성,탐토행인교통류옹도적림계행위。【방법】재이유우화속도모형기출상,용비대칭작용력함수형식대체원래적대칭력함수,병고필후방행인적작용강도,제출일개개진적이유우화속도모형。【결과】통과선성은정성분석득출연ψ=0,π/6,π/3,π/2방향전파적횡파모식화종파모식적은정성조건,이급개진후적모형상도。재우동파연 x 축전파적정황하,행인류적은정성여민감성계수 a 、행인간적거리 r 이급후방행인적작용강도λ동시상관；재기타정황하,은정성조건도지여행인간적거리 r 유관。개진적모형중연착 x 축방향전파적종파모식적림계곡선연착 r 축향좌이동,차림계곡선하방적구역변득경소；이연착 x 축방향전파적횡파모식적림계곡선연착 r 축향우이동,차림계곡선하방적구역변대。【결론】후방행인적작용강도대행인교통옹도유교대적영향。
[Objective]The critical behavior of congestion of pedestrian traffic is explored by ana-lyzing the stability of two-dimensional optimal velocity model with the asymmetrical force.[Methods]Based on the two-dimensional optimal velocity model,an improved optimal velocity model is proposed by applying the asymmetrical force in the place of the symmetrical force and introducing the interaction with following pedestrians.[Results]The stability conditions of the transverse mode and longitudinal mode along the direction ofψ =0,π/6,π/3,π/2 are obtained by linear stability analysis,and the related phase diagrams are given.When the perturbation travels along the x axis,the stability condition of pedestrian flow is influenced by the sensitivity a , the distance r among pedestrians and the intensi-tyλ of interaction with the following pedestri-ans.But in the other cases,the stability condi-tions are only influenced by the distance r .The critical curve of longitudinal mode which travels along the x axis moves leftward along the r-axis and the regions below the critical curve becomes small.But the critical curve of transverse mode which travels along the x axis moves rightward along the r-axis and the regions below the criti-cal curve becomes large.[Conclusion]It is found that the intensityλof interaction with the fol-lowing pedestrians has great effect on congestion of pedestrian traffic.
