贵州科学
貴州科學
귀주과학
GUIZHOU SCIENCE
2011年
5期
65-71
,共7页
差分法%连续交通流模型%车辆的进入和离去
差分法%連續交通流模型%車輛的進入和離去
차분법%련속교통류모형%차량적진입화리거
finite difference method%continuous traffic flow model%vehicles entering and leaving
运用差分法对连续交通流模型进行求解，对数值解取不同的初始值，分别求出不同初始值时，路段上无车辆的进入和离去、只有车辆的进入和只有车辆的离去3种情况下的密度、速度及流量，并作出相应的k-t，u—t，q-t图。得出了当密度较小时，车辆的进入和离去对交通流的影响不大；当密度接近最佳密度时，车辆的进入会大大降低路段上的车流量，从而使得道路通行能力下降；当密度等于最佳密度时，车辆的进入使得流量从1650辆／h降低到997辆／h。对于不同的初始值，车辆的离去只会增加高速度低密度区的通过量，对道路通行能力没有影响。
運用差分法對連續交通流模型進行求解，對數值解取不同的初始值，分彆求齣不同初始值時，路段上無車輛的進入和離去、隻有車輛的進入和隻有車輛的離去3種情況下的密度、速度及流量，併作齣相應的k-t，u—t，q-t圖。得齣瞭噹密度較小時，車輛的進入和離去對交通流的影響不大；噹密度接近最佳密度時，車輛的進入會大大降低路段上的車流量，從而使得道路通行能力下降；噹密度等于最佳密度時，車輛的進入使得流量從1650輛／h降低到997輛／h。對于不同的初始值，車輛的離去隻會增加高速度低密度區的通過量，對道路通行能力沒有影響。
운용차분법대련속교통류모형진행구해，대수치해취불동적초시치，분별구출불동초시치시，로단상무차량적진입화리거、지유차량적진입화지유차량적리거3충정황하적밀도、속도급류량，병작출상응적k-t，u—t，q-t도。득출료당밀도교소시，차량적진입화리거대교통류적영향불대；당밀도접근최가밀도시，차량적진입회대대강저로단상적차류량，종이사득도로통행능력하강；당밀도등우최가밀도시，차량적진입사득류량종1650량／h강저도997량／h。대우불동적초시치，차량적리거지회증가고속도저밀도구적통과량，대도로통행능력몰유영향。
Using the finite difference method, we got different initial values to solve the continuous traffic flow. In terms of three respects of no vehicles on road, only vehicles entering and vehicles leaving, we calculated density, velocity and flow, and made corresponding k-t, u-t, q-t figure. When density became lesser, vehicles entering and leaving had few changes to traffic flow. When density got close to the best density, vehicles would make traffic flow low. When density was equal to the best density, vehicle entering the road would drop the flow from 1 650 veh/h to 997 veh/h. As far as different initial values were concerned, vehicle leaving would only increase the speed and re- duce the density, without any impact on traffic capacity.
