" /> Restricted and Unrestricted Lanes - Essay Writing Pros

# Restricted and Unrestricted Lanes

1. A freeway has six lanes, four of which are unrestricted (open to all vehicle traffic), and two of which are restricted lanes that can be used only by vehicles with two or more occupants. The performance function for the highway is t = 12 + (2/NL)x (with t in minutes, NL being the number of lanes, and x in thousands of vehicles). During the peak hour, 3000 vehicles with one occupant and 4000 vehicles with two occupants depart for the destination. Determine the distribution of traffic between restricted and unrestricted lanes such that total person-hours are minimized.

2. Two routes connect an origin–destination pair with performance functions t1 = 5 + (x1/2)2 and t2 = 7 + (x2/4)2 (with t’s in minutes and x’s in thousands of vehicles per hour). It is known that at user equilibrium, 75% of the origin–destination demand takes route 1. What percentage would take route 1 if a system-optimal solution were achieved, and how much travel time would be saved?

Don't use plagiarized sources. Get Your Custom Essay on
Restricted and Unrestricted Lanes
Just from \$13/Page

3. Two routes connect an origin–destination pair with performance functions t1 = 5 + 3.5×1 and t2 = 1 + 0.5 22x (with t’s in minutes and x’s in thousands of

vehicles per hour). It is known that at x2 = 3, the difference between the first derivatives of the system- optimal and user-equilibrium math programs, evaluated with respect to x2, is 7 [dS(x)SO/dx2 − dS(x)UE/dx2 = 7]. Determine the difference in total vehicle travel times (in vehicle minutes) between user- equilibrium and system-optimal solutions.

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

Our writers have been trained on how to handle papers placed by our clients. The writer must read and understand before embarking on writing the papers. In case of any issue that needs clarification, writers are encouraged to ask the client or support.

Our team comprises of the best writers and editors. We do thorough vetting during recruitment to make sure that our writers have the knowledge and experience we aspire in the team.

Free Unlimited Revisions

Our aim is to give the client the best outcome. If for some reason you are not satisfied with the wok done, you can ask the paper to be revised or rewritten. This will be done to your satisfaction with no extra charges.

Prompt Delivery and 100% Money-Back-Guarantee

We have writers who work round the clock. This helps in making sure that all our clients’ papers are delivered on time. If we have issues with the deadline, we will ask for extension. If its not possible, the money is fully refunded.

Original & Confidential

Our clients’ confidentiality is highly respected. We can never disclose our clients’ details to third parties. In the same regard, we strive to give our clients 100% original papers. We do not tolerate plagiarism from our writers.

Clients can reach us any time of the day, and any day of the week. There is a live chat, email or phone numbers to help in ease of communication.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

You should never be worried about your papers even in the middle of the night. Our team will work round the clock to deliver.

## Essay Writing Service

We have an able team that can deliver your work in the shortest time possible. The academic level or the type of work should never be a hindrance. Our highly competent support team is always around (24/7) to give you any assistance you may need.