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MGMT 501 Research Methods in Management Science
Question:
1. Each site will be connected to at least one other site by the railroad. The rail links will traverse some subset of the linkages in Table 1.
a. Determine the minimum track length and the corresponding routes and spurs that will be needed if the port and leaching sites are included.
b. Repeat part (a), leaving out the linkages to the port.
2. Determine the minimum pipeline length for connecting the port to the leaching sites, leaving out the linkages to mine sites A, C, and F. Prune any legs ending at a mine site.
3. Find the aqueduct volumes that will maximize the flow from the water sources to the leaching sites.
4. Suppose that the metallic liquid pipelines are not built, and the leaching sites are connected to the port by rail. Due to land ownership disputes, the track routing found in
Question 1(a) cannot be used. The six usable links are as follows:
A-D B-D C-D C-F D-E E-G G-H
It is possible to route shipments from one site to another, going through a third site without loading or unloading there.
a. Prepare a new railroad mileage table showing how far cars will have to travel between mines and leaching sites and between leaching sties and the port, allowing for all possibilities, no matter how unattractive.
b. In solving the shipment problem as a minimum-cost maximum-flow problem, can you meet all necessary constraints? Explain.
c. Sketch a network that portrays all arcs and nodes needed to solve the problem. Then indicate for each arc the lower bound and the upper bound. Assuming that each car-mile costs PNGM Co. $1, use the distances you found in part (a) to determine the unit cost for each arc.
5. Find the transportation schedule that minimizes daily shipping cost.
6. Consider the problem of getting gondola cars back to the mines and the bladders back to the leaching sites. Suggest how you would solve this problem.
MGMT 501 Research Methods in Management Science
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