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3-16. Write an objective function and con- straint equations for minimizing the transportation cost (only) for the community shown in Figure 3-31. Assume that the cost of disposal is the same at both disposal sites, and therefore, the disposal cost can be ignored. C

3-16. Write an objective function and con- straint equations for minimizing the transportation cost (only) for the community shown in Figure 3-31. Assume that the cost of disposal is the same at both disposal sites, and therefore, the disposal cost can be ignored. C

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Answer 3-16. Hint – Only write the objective functions and constraints. You don’t need to calculate.
C transportation cost from town k to landfill i ($2.00 per km per ton) X½ = refuse generated in town k (2000 metric tons per year for Alpha, and 3500 metric tons per year for Beta) y = 1 if the landfill is operated, y = 0 if it is not c = operating cost of landfill i ($10.00 per metric ton) b. Solve the objective function for two conditions: (1) when the towns use their own landfills exclusively and (2) when only the central shared facility is used by both towns. C. Use an optimization software package to find the optimum (least-cost) solution. 3-13. Your client is a small community of 5000 people. The community wants to begin a municipally operated refuse collection and disposal program and asks your advice on the purchase of a collection vehicle. The community wants to collect refuse once a week. What would you recommend? 3-14. Given the street configuration shown in Figure 3-29, and if all blockfaces A Disposal site Figure 3-31 See Problem 3-16. B 3-15. A community has two landfills. The cost per ton of disposing of refuse in the landfills is exactly the same. There are three collection routes in town. Write an objective function and con- straint equations for minimizing the transportation cost (only) from the three collection routes to the two disposal sites. 3-16. Write an objective function and con- straint equations for minimizing the transportation cost (only) for the community shown in Figure 3-31. Assume that the cost of disposal is the same at both disposal sites, and therefore, the disposal cost can be ignored. Problems 123 are to be collected, is a unicoursal (Euler's) tour possible? Show your work. 3-17. On the street map shown in Three collection routes in the community Figure 3-32, determine first if an Euler's tour is possible. Show why or why not. Then show how you would route a truck so as to achieve the least number of deadheads. You are to collect on both sides of the street at once. 3-18. A community of 25,000 people wants to initiate public garbage collection. с Disposal site
Transcribed Image Text:C transportation cost from town k to landfill i ($2.00 per km per ton) X½ = refuse generated in town k (2000 metric tons per year for Alpha, and 3500 metric tons per year for Beta) y = 1 if the landfill is operated, y = 0 if it is not c = operating cost of landfill i ($10.00 per metric ton) b. Solve the objective function for two conditions: (1) when the towns use their own landfills exclusively and (2) when only the central shared facility is used by both towns. C. Use an optimization software package to find the optimum (least-cost) solution. 3-13. Your client is a small community of 5000 people. The community wants to begin a municipally operated refuse collection and disposal program and asks your advice on the purchase of a collection vehicle. The community wants to collect refuse once a week. What would you recommend? 3-14. Given the street configuration shown in Figure 3-29, and if all blockfaces A Disposal site Figure 3-31 See Problem 3-16. B 3-15. A community has two landfills. The cost per ton of disposing of refuse in the landfills is exactly the same. There are three collection routes in town. Write an objective function and con- straint equations for minimizing the transportation cost (only) from the three collection routes to the two disposal sites. 3-16. Write an objective function and con- straint equations for minimizing the transportation cost (only) for the community shown in Figure 3-31. Assume that the cost of disposal is the same at both disposal sites, and therefore, the disposal cost can be ignored. Problems 123 are to be collected, is a unicoursal (Euler's) tour possible? Show your work. 3-17. On the street map shown in Three collection routes in the community Figure 3-32, determine first if an Euler's tour is possible. Show why or why not. Then show how you would route a truck so as to achieve the least number of deadheads. You are to collect on both sides of the street at once. 3-18. A community of 25,000 people wants to initiate public garbage collection. с Disposal site
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