Suppose that the two approaches to a freeway merge, labelled 1 and 2, have individual capacities...

80.2K

Verified Solution

Question

Civil Engineering

Suppose that the two approaches to a freeway merge, labelled 1and 2, have individual capacities of 2000 veh/h and 6000 veh/h,respectively. Suppose that the two approaches can send a combinedmaximum flow 6000 veh/h through the merge without queues forming.Suppose as well that if both approaches are queued, vehicles enterthe merge in a 1:3 ratio; i.e., three vehicles from approach 2 foreach vehicle from approach 1. At t = 0, there are no queues inneither of the approaches. From t = 0 to t =1h, demand on approach1 is 1500 veh/h and demand on approach 2 is 5500 veh/h. After t =1h, demand on Link 1 becomes 500 veh/h, and demand on Link 2becomes 4500 veh/h. Sketch the input output diagram for Links 1 and2 and calculate the duration where queue persists on these links.[5 marks]

Answer & Explanation Solved by verified expert

3.9 Ratings (584 Votes)

Let us put the values of arrival rates departureratescapacities for each of the approaches in 15 minutesintervals So we haveSo clearly in the first four hours both the approachesindividually DO NOT HAVE ANY QUEUING see last See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member