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Question: Refer to Table. Your boss is a member of the library-site selection committee. She is not perfectly satisfied with the assessments shown in the table. Specifically, she wonders to what extent the assessed weights and individual utilities on the detail attributes could change without affecting the overall ranking of the four sites. Use an electronic spreadsheet to answer this question, and write a memo that discusses your findings. (There is no specific way to attack a sensitivity analysis like this. One possibility is to establish reasonable ranges for the weights and then create a tornado diagram. Be sure that your weights add to 1 in each category!)
The formula for the Shapley value is where i is the set of all coalitions S ⊂ N containing i as a member (i.e., i ∈ S). Show that an equivalent formula is
If John takes the job, how much paint should he order from the store, and what is the total cost? - Based on potential earnings, should John take the job?
The time (in minutes) between telephone calls at an insurance claims office has the following exponential probability distribution.
Simulate 10000 values of (Y - µ)'∑-(Y - µ), where ∑- is a g-inverse for the covariance of Y. Find the mean and variance of the simulated values. Also draw the histogram and the density of the simulated values
Suppose that the true proportion of defectives in the lot is 10 percent. On average, how many items will have to be sampled before the lot is either accepted?
Tires that fail in service result in significantly higher replacement costs than those replaced before failure. For an 18-wheeler.
If the cost of brick construction in place is $880 per 1000 bricks, estimate the cost of the brick exterior wall for the following building.
Session :Area bounded by curves Question: Find the area bounded by the curves
Sketch a phase diagram corresponding to each of these cases. Try to make some general statements about the structure of equilibrium as a function of the parameters.
Assume that the bulbs in Problem are not replaced as they fail. What fraction of the 6,000 bulbs are expected to fail in the first year?
Discuss how calculus changed the face of mathematics. - Then, choose a calculus theorem and discuss it in more depth.
Conduct a linearized analysis for this system and discuss the stability of the two equilibrium points. What has to be true about the parameters so that there is a locally stable equilibrium point.
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