User Account

All Pages

System optimal scenario

Assignment Help Engineering Mathematics
Reference no: EM13961934

Each morning during rush hour, 10,000 people want to travel from New Jersey to New York City. If a person takes the subway, the trip lasts 40 minutes. If x thousand people per morning drive to NYC, it takes 20+5x minutes to make the trip. This problem illustrates a basic fact of life: if people are left to their own devices, they will cause more congestion than need actually occur! +

a) Show that if people are left to their own devices, an average of 4,000 people will travel by road from NJ to NYC. Here you should assume that people will divide up between subway and road in a way that makes the average travel time by road equal to the average travel time by subway. When this "equilibrium" occurs, nobody has an incentive to switch from road to subway or vice versa. This is known as the "user optimal" scenario.

b) Show that the average travel time per person is minimized if 2,000 people travel by road. This is known as the "system optimal" scenario.

c) What percent worse than system optimal is the user-optimal scenario?

Reference no: EM13961934

Questions Cloud

Crop to plant in order to maximize : The profit from each acre of corn is $240; the profit from each acre of tobacco is $450. The Adams family wants to know how many acres of each crop to plant in order to maximize their profit.
Find the optimal solution to the relaxation lp : a) Find the optimal solution to the Relaxation LP. b) Find the optimal solution to the All-integer LP. Is it the same as that obtained in part (a)?
What is the decision facing nestle : Marketing in action case- Real Choices at Nestle. What is the decision facing Nestle? What factors are important in understanding this decision situation? What are the alternatives
Evaluate the given iterated or double integrals : Evaluate the following iterated or double integrals, by means of any technique you've learned so far. ∫∫R(x-y)(x2+y2+1)-1dA dx. Where R is the region bounded by the unit circle centered at the origin.
System optimal scenario : Show that the average travel time per person is minimized if 2,000 people travel by road. This is known as the "system optimal" scenario. What percent worse than system optimal is the user-optimal scenario?
Ounces of potassium while minimizing cost : Ingredient 1 costs $3 per pound and ingredient 2 costs $5 per pound.  The company wants to know how many pounds of each chemical ingredient to put into a bag of fertilizer to meet the minimum requirements of 20 ounces of nitrogen, 36 ounces of pho..
Find the extension of the spring : Two small blocks, A and B , of masses 0.8 kg and 1.2 kg respectively, are stuck together. A spring has natural length 0.5 metres and stiffness of 98 N/m. One end of the spring is attached to the top of the block A and the other end of the spring i..
Type of grass seed to purchase to minimize cost : The company believes it needs to have at least 1,200 pounds of Home 1 mix, 900 pounds of Home 2 mix, and 2,400 pounds of Commerical 3 seed mix on hand. A pound of tall fescue costs the company $1,70, a pound of mustang fescue costs $2.80, and a po..
Calculate vertical distance from the surface of the liquid : An object with height h, mass M, and a uniform cross-sectional area A floats upright in a liquid with density p. Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium.

Reviews

Write a Review

Engineering Mathematics Questions & Answers

  Prime number theorem

Dirichlet series

  Proof of bolzano-weierstrass to prove the intermediate value

Every convergent sequence contains either an increasing, or a decreasing subsequence.

  Antisymmetric relations

How many relations on A are both symmetric and antisymmetric?

  Distributed random variables

Daily Airlines fies from Amsterdam to London every day. The price of a ticket for this extremely popular flight route is $75. The aircraft has a passenger capacity of 150.

  Prepare a system of equations

How much money will Dave and Jane raise for charity

  Managing ashland multicomm services

This question is asking you to compare the likelihood of your getting 4 or more subscribers in a sample of 50 when the probability of a subscription has risen from 0.02 to 0.06.]  Talk about the comparison of probabilities in your explanation.

  Skew-symmetric matrices

Skew-symmetric matrices

  Type of taxes and rates in spokane wa

Describe the different type of taxes and their rates in Spokane WA.

  Stratified random sample

Suppose that in the four player game, the person who rolls the smallest number pays $5.00 to the person who rolls the largest number. Calculate each player's expected gain after one round.

  Find the probability density function

Find the probability density function.

  Develop a new linear programming for an aggregate production

Linear programming applied to Aggregate Production Planning of Flat Screen Monitor

  Discrete-time model for an economy

Discrete-time model for an economy

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd