A borough in charge of a city plans to adopt intelligent transportation systems solution to improve...

 

Transcribed Image Text:

A borough in charge of a city plans to adopt intelligent transportation systems solution to improve travel on their network for two locations A and B. Analysis shows the three alternative routes between the origin-destination pair A-B have travel times which is related to the volume rate of flow (Figure Q2.1). If xi (i = 1, 2, 3) represents the number of vehicles per unit time, the travel times are given by equations 1, 2, and 3: t₁ = 3x² + 5x₁ - 2 t₂ = 4x² - 2x₂ + 1 t3 = 2x3 + 5x + 7 (3) If 1000 vehicles per unit time leave A, determine the optimal division of traffic between the three routes so that a) the overall travel times will be minimized b) the total disutility in commuter-hours will be minimized c) based on the results obtained b), recommend two Intelligent Transport System solutions for improving travel in the borough. Briefly explaining the reasons for your choices. (5%) A X1 X2 X3 (1) (2) B Figure Q2.1 Alternative routes between origin-destination pair A-B (15%) (10%) A borough in charge of a city plans to adopt intelligent transportation systems solution to improve travel on their network for two locations A and B. Analysis shows the three alternative routes between the origin-destination pair A-B have travel times which is related to the volume rate of flow (Figure Q2.1). If xi (i = 1, 2, 3) represents the number of vehicles per unit time, the travel times are given by equations 1, 2, and 3: t₁ = 3x² + 5x₁ - 2 t₂ = 4x² - 2x₂ + 1 t3 = 2x3 + 5x + 7 (3) If 1000 vehicles per unit time leave A, determine the optimal division of traffic between the three routes so that a) the overall travel times will be minimized b) the total disutility in commuter-hours will be minimized c) based on the results obtained b), recommend two Intelligent Transport System solutions for improving travel in the borough. Briefly explaining the reasons for your choices. (5%) A X1 X2 X3 (1) (2) B Figure Q2.1 Alternative routes between origin-destination pair A-B (15%) (10%)

Answer rating: 100% (QA)

In this problem we are looking at a traffic flow scenario where vehicles are attempting to travel from origin A to destination B using one of three di... View the full answer