Problem 1: A small city four transportation alternatives for a bus depot based on three criteria: architectural worth, cost and public opinion. The serviceable life of the depot is 40 years.
The assessment results are as follows:
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Alternatives
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Initial Cost (millions of dollars)
|
Maintenance per year (thousands of dollars)
|
Architects in favor (out of 10)
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Elected officials in favor (out of 25)
|
|
A
|
2.0
|
9.2
|
9
|
18
|
|
B
|
2.8
|
8.3
|
7
|
14
|
|
C
|
2.9
|
7.8
|
6
|
20
|
|
D
|
3.4
|
6.3
|
6
|
17
|
Provide an analysis for the decision maker to come to a rational decision to pick the best alternative and discuss your method of analyses and results.
Problem 2: Assume that you are responsible for preparing a transportation improvement programs for a metropolitan area of 1 million populations in a developing country. No such program was ever prepared. A sketch plan for region wide development (the metropolitan area is included in the region) was prepared several years ago by a foreign consulting firm but no action was taken. Discuss the steps that you would take to prepare the program. There is a limitation of time and money, however, a reasonable assumption can be made.
Problem 3: The Mountain Movers truck company has $1,200,000 to replace its fleet. The company is considering three different truck types:
|
|
Truck A
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Truck B
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Truck C
|
|
Carrying capacity (tons)
|
10
|
20
|
18
|
|
Average speed (mph)
|
40
|
35
|
35
|
|
Price ($1,000)
|
48
|
78
|
90
|
|
Drivers required
|
1
|
2
|
2
|
|
Shifts per day
|
3
|
3
|
3
|
|
Hours per day
|
18
|
18
|
21
|
Type C is the improved version of type b. It has sleeping for one driver. The company employs 150 drivers every day, has 50 overnight parking spaces, and wishes to maximize the delivery capacity of its fleet (in ton-mi/day).
a. Define the selection of the trucks as an optimization problem. Explain the decision variables, objective functions, and constraints.
b. What assumptions, if any, did you make in this problem.