多態(tài)交通條件下無信號交叉口通行能力模型論文.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 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