Prof. Dennis Berino
April 3, 2012
Southwestern University Traffic Problems
Bullen, Nino Joseph
Donato, Anna Rica
Southwestern University is experiencing an increased interest in its football program since it hired a big-name coach. As such, there have been increased sales in their season tickets. This increase in sales has also increased the traffic problem of the town which is also projected to get worst once the new stadium is build. To solve the problem, the Marty Starr the University’s president has asked the University Planning Committee to solve the problem. Based on ...view middle of the document...
IV. Case Facts and Information
Due to the projected increase of sales of Southwestern University, it is projected that the streets from the stadium to the interstate highways should have a sufficient capacity of 35,000 cars per hour. The current street capacity from the stadium to the interstate highway is shown in the diagram below:
The diagram indicates the number of cars (in 1,000s) per hour that a street can accommodate. The diagram shows the following number of cars:
|Node |Number of Cars |
|1 |33,000 (15+12+8) |
|2, 3, 4 |35,000 (12+8+6+5+4) |
|5,6,7 |41,000 (16+7+5+5+8) |
At present, it was noted that the current capacity of the cars that may leave the stadium is only 33,000 cars per hour. It was also stated that if the street capacity is within 2,500 cars per hour then the traffic problem is not too severe. However, every 1,000 cars that is added to the streets, the traffic problem grows dramatically.
V. Alternative Approaches
There are various paths that cars can choose to lead them to the interstate highway from the stadium. The following are the possible paths:
VI. Quantitative Methods
Given that the case involves finding the maximum amount of cars that a street can accommodate from the stadium to the interstate highway, the maximum flow network model was used to analyze the problem.
The table below shows the inputed data in QM for Windows to solve the problem.
Given the capacities stated in the diagram above, the table below shows that the maximal network flow that the network can accommodate is 28,000 cars per hour from the stadium to the interstate highway.
Discussion Question 1: If there is no expansion, what is the maximum number of cars that may actually travel from the stadium to the interstate per hour? Why is this number not equal to 33,000, as Dr. Lee suggested?
From this data, we are shown that the maximum number of cars the network can support is only 28,000. Dr. Lee’s suggestion was flawed because he only took into account the number of cars that can leave the stadium.
The three roads leading out support 15,000, 12,000, and 6,000 cars respectively, totaling 33,000, which is what Dr. Lee though. He did not take into account, however, the number of cars that the roads leading from the stadium to the interstate can support.
Basically, he saw no difference between the network’s capacity, versus the exit capacity from the stadium.
Discussion Question 2: If the cost for expanding a street were the same for each street, which street(s) would you recommend expanding to increase the capacity to 33,000? Which streets would you recommend expanding to get the...