1. INTERSECTION MODEL COMPONENTS TTE 6815 K. Courage

2. TOPICS n Queue accumulation polygon n Uniform delay, stops & queue n Effects of random arrivals n Effects of oversaturation n Effects of coordination n Unsignalized control

3. QUEUE ACCUMULATION POLYGON (QAP) ASSUMPTIONS n Cyclical repetition n Uniform arrivals over the whole cycle

4. QUEUE ACCUMULATION POLYGON (QAP)

8. Maximum queue accumulation

9. DELAY n Uniform delay n Incremental delay n Deterministic queue delay

11. UNIFORM DELAY (sec/veh) n C = Cycle length 8 = Green / cycle n X = Degree of Saturation

17. HCM 94/97

18. NCHRP 3-48

19. STOPS n Arrival on red n Arrival on green before queue has cleared

20. Not stopped Stopped

21. UNIFORM STOPS 8 = Green / cycle n X = Degree of Saturation

22. EFFECT OF RANDOM ARRIVALS n Different QAP each cycle n Probability of overflow

24. QUEUE SIZE n Maximum queue accumulation n Maximum queue reach

25. Max Accumulation Max Reach Back of queue Front of queue

26. UNIFORM QUEUE REACH n q= arrival rate per sec = Volume (vph) / 3600

27. What Happens When The Demand Exceeds The Capacity?

28. TpTp Time

29. UNDERSATURATION ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ TpTp Time

30. OVERSATURATION ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^ TpTp ^^^^^^^^^^^^^^^^^^^ Deterministic Queue Delay DQD

31. OVERSATURATED DELAY DEFINITIONS n Delay per vehicle within the analysis period n Delay to each vehicle arriving during the analysis period

32. DEFINITION # 1

33. DEFINITION #2 # of vehicles in queue

34. DEFINITION #2 Delay to nth vehicle

35. DELAY MODEL 1.0 X DELAY Uniform DQD

36. GENERALIZED INCREMENTAL DELAY EQUATION

37. OPPOSED MOVEMENTS n Capacity n Delay

38. OPPOSED MOVEMENT APPLICATIONS n Permitted left turns n RTOR n Yield signs n Two-way stop signs n Roundabouts

40. DEFINITIONS n Critical gap, g c n Follow up time, t f n Opposing Volume, q o (veh per sec)

41. CAPACITY (Q emax )

42. # of Gaps

43. # of vehicles expected per gap

44. UNIFORM DELAY ON UNSIGNALIZED APPROACHES D u = 3600 / Capacity

45. TRAFFIC-ACTUATED SIGNALS n Estimation of phase times n Estimation of delay

46. TRAFFIC-ACTUATED DELAY n Uniform: Based on average cycle and phase times. n Incremental: Reduced effect of randomization

47. EFFECT OF SIGNAL COORDINATION n Uniform: QAP arrivals n Incremental: Reduced randomization

48. QUANTIFICATION OF PROGRESSION QUALITY n Arrival type n Time-space diagram n Flow profile n Implicit treatment by simulation

49. MODELING OF COORDINATED SIGNALS n Performance n Platoon dispersion n Optimization criteria and procedures

50. ASSIGNMENT Deterministic queue delay n Derive the general expression for Residual queue Residual queue service time Delay