? 27 ? 12 ? 2010 ? 12 ? ? ? ? ? ? ? Control Theory ?; ?; ?; ? ?: U491.5+4?: ACoordinated control models for stop and delay underover-saturated traffic conditionsLU Kai, XU Jian-min, LI Lin(School of Civil Engineering and Transportation, South China University of Technology, Guangzhou Guangdong 510640, China)Abstract: In the duration of over-saturated traffic conditions, this paper studies the approach-delay under coordi- nated control with cumulative arrival-departure diagram based on the time that platoon reaches downstream intersection: 1) platoon arrives in a cycle with the start of red phase; 2) platoon arrives throughout a cycle with the start of red phase.This paper proposes stop and delay coordinated control models under over-saturated traffic conditions for different arrival types, and obtains conclusions about the relationship between performance indexes(number of detained vehicles, number of stops, and delay) and coordinated control variables(relative offset, common signal cycle). The control models have beenanalyzed and verified by traffic simulations. This method provides a theoretical basis for the coordinated control technologyunder over-saturated traffic conditions.Key words: traffic engineering; stop and delay models; arrival-departure diagram; over-saturated; coordinated control1?(Introduction)?, ? ? ?, ? ?, ? ?, ? ?. ? ?TRANSYT, SCATS, SCOOT?, ? ?, ?CBD? ?. ? ?, ? ?, ? ?.Gazis?Dans?13? ?, ? ?, ? ?; ? ?, ? ?, ? ? ?. Michalopoulos?4?Gazis?, ? ? ? ?, ? ?: 20091129; ?: 20100705. ?: ?(50878088); ?(200805610005); ? (2008B010200010).1624? ? ? ? ? ? ? 27 ?, ? ?. Chang?5,6?, ? ? ?, ?, ?, ? ?; ? ? ? ? ? ?, ? ?. Rouphail? Fambro?7,8? ?PF? ?, ? ?(?)?, ? ?PF?, ?TRB9? ?. Benekohal?10,11? ? ?, ?AB(arrival-based)? ?, ? ?11? ?, ? ?. ?12? ?Robertson?, ? ? ?, ? ?. ?13? ?, ? ? ?, ? ?.?, ?, ? ?, ?. ? ? ?, ? ? ?, ?. ?, ? ?, ? ?.2?(Stop and delay analysis of vehicle platoon)? ?, ? ?, ? ?, ? ?14. ?,?-? ?, ? ?, ?15, ? ?, ? ?, ? ?.? ?, ? ?, ? ? ?. ?, ? ?, ? ?, ? ?. ? ? ?, ?n1? ?: 1) ?q1? ?; 2) ?Q?; 3) ? ?0; 4) ? ?, ?n2? ?: 1) ? ?q2?; 2) ?Q?; 3) ? ?0. ? ?, ? ?, ? ?.2.1? ?(Platoon arriving in a cycle with the start of red phase)? ?, ?1(a)? ?; ? ?, ? ?1(b)?. ?1(a)(b)? ?, ? ?dLA?, ? ?NS?hLA? ?. ? ?T0?T1?, ? ?, ?1(a)? ?(b)? ?, ?1(a)?(b)? ?OAB?.?1?:tT?, t0? ?T0?,t0 0,C tT,q?1? 12 ?: ?1625?n1?,q?2? ?n2?,qS? ?,NSMAX? ?,dSMAX?, ?L1? ?t0?. ?1? ?, ? ?NS? ?hLA? ?dLA?(1)(3)?, ?Z = x 1 =q?1 Q 1.NS=1 2NSMAX=1 2(q?1 n1 C Q n1 C) =(q?1 Q) n1 C 2=Z Q n1 C 2,(1)hLA= 1 +(n1+ n2) NS Q (n1+ n2) C=1 +NS Q C= 1 +Z n1 2,(2)dLA=1 2tR+1 2dSMAX=1 2tR+1 2NSMAX Q=tR 2+NS Q=tR 2+Z n1 C 2.(3)(a) ?(b) ? 1 ?