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Southwestern University - Traffic Problem

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I. Company Background

Southwestern University (SWU) is located in Stephenville, Texas. They have recently hired a new well-known football coach and because of this, they are expecting an increase in their fan base for this sport. Their season ticket sales have gone up, meaning more revenues, however, this also means increase in customer complaints due to traffic problems whenever there’s a game.
Dr. Marty Starr, SWU’s president, has asked University Planning Committee to see how they can solve this problem. Based on traffic projections, Dr. Starr would like to have sufficient capacity so that 35,000 cars per hour can be accommodated to travel from the newly-built stadium to the interstate highway. Anticipating this problem, some of …show more content…

(See Appendix A for QM Solution)

B. Iterations in New Maximal Flow by Widening Road Capacity

Considering the results of the current road infrastructure capacity of 28,000, road-widening efforts should be undertaken by the City Manager. Expanding or widening a certain road translates to an additional 2,000 cars per hour in each road’s capacity count. Several iterations can be applied:
a. Apply road widening to all roads:

If all 12 roads leading from the Stadium to the Interstate Highway were to be expanded, a maximum of 34,000 cars per hour can be achieved. This can be derived with the increase in capacity in Path 1, Path 2 and Path 3 by 2,000 cars per hour each. (See Appendix B for QM Computations)

b. Apply road widening to only critical roads:

By picking any path from the start certain roads are widened, adding 2,000 cars per hour into their capacity. These are tested by trial and error, determining how critical they are to the whole traffic flow or not.

The group was able to isolate 5 roads that are considered critical in maximizing the number of cars per hour, which results in 34,000 cars per hour. This figure is the same as if we were to expand all of the roads leading from the Stadium to the Interstate Highway. Path 2, Path 3 and Path 5’s capacity will all be increased by 2,000 cars per hour each. (See Appendix C for QM Computations)

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