Abstract : in the 1d random traffic flow model, the relationbe tween the correlation functions and the creation, disappearance, brake probabiliti es ofthe vehicles is presented, according to the statistical mechanical approach to thecorrelation functions . and then comes out the results cohering with the c omputersimulation 文摘:依據(jù)概率論的定義,通過(guò)對(duì)關(guān)聯(lián)函數(shù)的解耦,給出兩點(diǎn)的關(guān)聯(lián)函數(shù)與轉(zhuǎn)入、轉(zhuǎn)出及剎車概率之間的關(guān)系,并對(duì)其結(jié)果進(jìn)行了討論,計(jì)算機(jī)數(shù)值模擬結(jié)果與理論結(jié)果一致
Secondllv in the 1 d random traffic flow model . the relation function between the correlation and the creation . disappearance . brake probabilities of the vehicles is presented . according to the statistical mechanical approach to the spatial correlation functions . the theoretical results agree with that of the computer simulation . thirdh . based on the bml model . a main-road traffic flow model with two speeds on two dimensions is designed . this model simulate the traffic situation of one main road and several branches in the cit traffic lights placed on the crossing . vehicles breaking ~ vhile running and turning to other direction while jamming . we investigate the ~'e1ocitv and flo ~ ~ of the model when the initial densitvthe brake and turning probabilities . the green to signal rati3 . thc number of the branches and the period of the signal are changed . then the reasons causing all the kinds of phenomena are analvzed . finallv . we simulate the bml model using the method of lattice boltzmann which ~ vas brought out by liu mu-renand obtain the velocity-density graph similar to the previous result . the upper critical densiw above which there are oniv jamming configurations . and the lo ~ ver critical density below which there are only moving configurations are the same as before . the boltzmann function which is on the lattices shows the moving and jaxmning transition obviouslv . thus it proves the possibilit of this method on the traffic research 接著,建立了和研究了二維二速的主干道模型,該模型模擬了城市交通中一條主干道,多條支道的交通情況,在干道與支道的交叉路口設(shè)置紅綠燈,車輛在運(yùn)行中可以有對(duì)突發(fā)事件發(fā)生反應(yīng)的剎車,在發(fā)生堵塞時(shí),路口的車輛可考慮通過(guò)轉(zhuǎn)向來(lái)緩解交通等各種實(shí)際情況的發(fā)生,給出了車輛演化的演化方程,并通過(guò)計(jì)算機(jī)模擬,研究模型在改變車輛的初始密度、剎車概率、轉(zhuǎn)向概率、支道數(shù)、紅綠燈信號(hào)的綠信比、紅綠燈信號(hào)周期等各種情況下支、主干道車輛的速度、流量的變化,并分析在各種情況下交通狀況的成因,提出改善交通的有效措施。最后,在劉慕仁提出的用格子boltzmann方法研究一維決定論交通流的思路下,將此法推廣到對(duì)二維bml模型的模擬上,得到了與用以往方法的研究結(jié)果相類似的速度-密度圖線,且車輛從運(yùn)動(dòng)相到堵塞相轉(zhuǎn)變的上下臨界密度是一致的,同時(shí)分別給出車輛在處于暢通相和堵塞相時(shí),boltzmann函數(shù)在格子上的分布情況,進(jìn)一步驗(yàn)證了此法的可行性。