Introduction to Transportation Engineering Instructor Dr. Norman Garrick Hamed Ahangari 13th March 2014 1.

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Presentation transcript:

Introduction to Transportation Engineering Instructor Dr. Norman Garrick Hamed Ahangari 13th March

Traffic Assignment 2

Type 1 Given: – Network – Cost (Impedance) Request – Short Path Tree – Short Path Sketch 3

Example 1 Find the shortest paths from node 1 to all other nodes

Node ( j )Total Impedance to Node j Node Preceding j Tree table from Node 1 5

Sketch of tree

Type 2 Given: – Short Path Tree Table – Cost (Impedance) Request – Short Path Sketch 7

Example 2 Use the following minimum tree table from node A to sketch the minimum tree including showing the travel time. (Employ short path method) Node (j)Total Impedance to Node jNode Preceding j A0- B 11C C 2A D 8C E 14B F 10C G 7 A H G I 15F J 25I K 18I L 15G 8

A 2 7 C G B D F H L 2 8 I 5 J K

Exercise 1 Find the shortest path from node A to all other nodes A B C D E F G H

Type 3 Given: – Short Path Tree Table – Cost (Impedance) – Trip Interchange Request – Traffic Assignment 11

Exercise 2 A B C EG DF H OriginDestinationTrip Exchange AF200 AH800 BE250 BG

A B C EG DF H Node (j) Total Impedance to Node j Node Preceding j A0- B 6D C 1A D 3A E 4C F 4D G 6 E H 10G Node (j) Total Impedance to Node j Node Preceding j A6D B 0- C 6D D 3B E 9C F 4D G 11 E H 12F Tree Table Node A Tree Table Node B 13

TravelVolumeShortest PathLinks A-F200A D FAD-DF A-H800A C E G HAC-CE-EG-GH B-E250B D C EBD-DC-CE B-G700B D C E GBD-DC-CE-EG 14

LinkTrip A-FTrip A-HTrip B-ETrip B-GTotal Volume AD200 DF200 AC800 CE EG GH800 BD DC Traffic Assignment 15

Sketch of tree with allocated traffic: A B C EG DF H

Stream Flow 17

Example 1 In a study, the spot speeds of seven vehicles were observed to be 35, 25, 30, 25, 40, 40, 25 and 20 miles/hour, respectively. Calculate the time mean speed (TMS) and space mean speed (SMS). 18

time mean speed (TMS) u tms = 1/n ∑ v i u tms=( )/8= 240/8=30 (miles/hour) 19

space mean speed (SMS) 20