多态交通条件下无信号交叉口通行能力模型论文.pdf

32 2 vol 32 no 2 2012 2 systems engineering theory 2 230009 erlang erlang erlang erlang erlang erlang capacity model of unsignalized intersection under multi state fl ow conditions ding heng1 chen wu wei2 zheng xiao yan1 zhang wei hua1 1 school of transportation engineering hefei university of technology hefei 230009 china 2 school of mechanical and automotive engineering hefei university of technology hefei 230009 china abstract in order to adapt to the multi state characteristic of traffi c fl ow in intersections based on the denseness of mixture erlang distribution the arriving headway data of main road is fi tted accurately by means of expectation maximization algorithm taking intersection in which the fl ow in minor road should give way to the one in main road as the research object and gathering the probabilities of minor road acceptable gaps a capacity model of unsignalized intersection is put forward based on mixture erlang distribution taking the actual survey headway of intersection as example headway is fi tted by using negative exponential distribution erlang distribution and mixture erlang distribution and then the minor road capacity is calculated with the capacity model of unsignalized intersection under diff erent distribution conditions the result indicates that mixture erlang distribution shows better fi tness and the analysis result of proposed capacity model of unsignalized intersection is more accurate keywords capacity multi state fl ow mixture erlang distribution headway acceptance gap 1 1 2 3 gap acceptance theory model bakare 4 5 tian 6 fasching 7 8 2010 12 27 71071044 51178158 11040606q39 1980 e mail dh801101 1951 e mail cww 434 32 cassidy 9 11 12 13 erlang 14 gamma erlang erlang 2 15 max q i q i q i 1 1 q i sa 0 9 2 q i q i s q i 0 3 0 4 0 1 0 15 1 2 3 1 f t e t 3 2 f t e t 4 3 erlang f t rtr 1e t r 5 r gamma r r f t gamma m3 erlang 16 2 435 4 erlang 4 1 erlang erlang erlang n erlang f t n i 1 ai ri i tri 1e it ri 6 ai i erlang n i 1ai 1 n 6 erlang ai erlang 17 4 2 erlang erlang r 1 r 1 erlang r r erlang erlang 18 erlang 0 0 2 4 6 8 10 0 2 4 6 8 10 0 0 2 0 4 0 6 0 8 f t 1 t erlang 4 3 erlang erlang erlang 18 gamma erlang 19 f t n i 1 aipi t i 7 z x y x y z x y x i g 1 ag i g i r g i i 1 2 n ai i ri i 1 2 n erlang 7 q g n i 1 n j 1 ln aipi tj i p i tj g n i 1 n j 1 ln ai ri i tri 1e it ri ai ri i tri 1e it ri n i 1 ai ri i tri 1e it ri 8 n n erlang x e m e 436 32 m q g 20 5 2 ht b b0 ht b ht b b0 ht b k 1 b0 ht b kb0 k q qi q n i 1 qi 9 v b b0 2 qi qai f t ri i tri 1e it ri erlang q erlang erlang f t p h t n i 1 ai ri 1 j 0 it je it j 10 x qi qi x ht k p i k b k 1 b0 ht b kb0 p i k b k 1 b0 ht b kb0 ri 1 j 0 i b k 1 b0 je i b k 1 b0 t j i b kb0 je i b kb0 t j 11 k qi p i k b k 1 b0 ht 15 53434 410 4146 5412 5417 6416 3637 383 38 715715715715715 0246810121416 0 0 02 0 04 0 06 0 08 0 1 0 12 0 14 0 16 0 18 0 2 t s erlang 2s erlang 4 2 18 n 1 r 1 0 1986 q 715 256 erlang n 1 r 2 0 3368 q 715 275 2 439 erlang n 3 1 0 3663 2 0 4462 3 0 4314 a1 0 2284 a2 0 2765 a3 0 4951 r1 1 r2 2 r3 4 q1 163 306 q2 197 6975 q3 354 361 1 7 5 12 5 169 12 5 83 7 5 12 5 1 12 5 2 335 erlang erlang 7 erlang erlang 1 j 2007 27 7 75 78 xie j yan b j zhang s r et al theory model of circular intersection traffi c capacity in urban j journal of chang an university natural science edition 2007 27 7 75 78 2 erlang j 2009 25 15 16 21 yang x p liang l zhang w et al the study of the traffi c capacity of the circular intersections based on erlang distribution j journal of yuxi normal university 2009 25 15 16 21 3 j 2003 13 2 83 86 wang w li w q deng w et al capacity of multi vehicle types mixed traffi c fl ow at an unsignalized intersec tion j china journal of highway and transport 2003 13 2 83 86 4 bakare a b jovanis p p analysis of unsignalized intersection capacity j transportation research record 1984 21 31 5 baass k g the potential capacity of unsignalized intersections j institute of transportation engineers 1987 57 10 43 46 6 tian z z kyte m colyar j field measurements of capacity and delay at unsignalized intersections j institute of transportation engineers 1997 67 4 22 27 7 fasching c j unsignalized intersection analysis eff ect of overlapping confl icting traffi c fl ow on minor movement potential capacity j transportation research record 1996 1572 86 98 8 brilon w wu n capacity at unsignalized intersections derived by confl ict technique j transportation research record 2001 1776 82 90 9 cassidy m j madanat s m wang m h et al unsignalized intersection capacity and level of service revisiting critical gap j transportation research record 1995 1484 16 23 10 velan s m van aerde m gap acceptance and approach capacity at unsignalized intersections j institute of transportation engineers 1996 66 6 40 45 11 j 2002 22 2 122 128 li w q wang w capacity of minor multi vehicle types mixed traffi c fl ow under major stream with shifted negative exponential distribution on un signalized intersection j systems engineering theory practice 2002 22 2 122 128 12 erlang j 1998 28 6 98 102 chang y l wang w cao h capacity of inferior lane at unsignalized intersection j journal of southeast university 1998 28 6 98 102 13 j 2005 22 5 82 85 zhao c wang w li w q on ramp capacity under diff erent fl ow rate of major stream j journal of highway and transportation research and development 2005 22 5 82 85 440 32 14 j 2009 34 7 136 140 li m lu h p nie c urban road capacity algorithm based on multi variant gamma distribution j highway engineering 2009 34 7 136 140 15 ding h zheng x y ma x et al multi state fl ow inductive control method at intersections with multi function entrance mfe lanes c icctp 2010 beijing asce 2010 1377 1383 16 zaman m r roy m k akhter n chi square mixture of gamma distribution j journal of applied science 2005 5 12 1632 1635 17 zaart a e ziou d wang s r et al sar ima