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Exam 14: Multicriteria Decisions

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Question 21

Multiple Choice

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A decision with more than one objective

A) cannot have an optimal solution.
B) requires the decision maker to place the objectives in some order of importance.
C) depends on the probability of satisfying each objective.
D) should be decomposed into a separate model for each objective.

E) None of the above
F) A) and D)

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Question 22

Multiple Choice

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Goal programming with preemptive priorities never permits trade-offs between

A) goals with the same priority level and the same weights.
B) goals with different priority levels.
C) goals with the same priority level and different weights.
D) any goals.

E) B) and C)
F) All of the above

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Question 23

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As treasurer of the school PTA, you chair the committee to decide how the $20,000 raised by candy sales will be spent. Four kinds of projects have been proposed, and facts on each are shown below. ​ Develop a goal programming model that would represent these goals and priorities. Priority 1 Goal 1 Spend the entire $20,000. Goal 2 Do not use more than 50 person-days of volunteer time Priority 2 Goal 3 Provide at least as many encyclopedias and computers as requested. Goal 4 Provide at least as many field trips as requested. Goal 5 Do not provide any more basketball goals than requested.

Solve the following problem graphically: Min P₁(d₁⁺) + P₂(d₂−) s.t. 3x₁ + 5x₂ ≤ 45 3x₁ + 2x₂ − d₁⁺ + d₁− = 24 x₁ + x₂ − d₂⁺ + d₂− = 10 x₁, x₂, d₁−, d₁⁺, d₂−, d₂⁺ ≥ 0

If airline A is moderately preferred to airline B, at a value of 3, then airline B is compared to airline A at a value of −3.

When using a linear programming approach to solving a goal programming problem, a linear program must be solved for each

For a scoring model, the decision maker evaluates each decision alternative using equally weighted criteria.

Deviation variables that occur in the objective function indicate

A computer company looking for a new location for a plant has determined three criteria to use to rate cities. Pair-wise comparisons are given. ​ Determine priorities for the three relative to the overall location goal.

In an AHP problem, the priorities for three criteria are Criterion 1 .1722 Criterion 2 .1901 Criterion 3 .6377 ​ The priority matrix is ​ Compute the overall priority for each choice.

Pair-wise comparisons are used to

The overall priorities for decision alternatives

An item's priority reveals how it compares to its competitors on a specific criterion.

If a problem has multiple goals at different priority levels, then usually they can all be achieved.

Target values will never be met precisely in a goal programming problem.

​Explain why goal programming could be a good approach to use after a linear programming problem is found to be infeasible.

Durham Designs manufactures home furnishings for department stores. Planning is underway for the production of items in the "Wildflower" fabric pattern during the next production period. ​ Inventory of the Wildflower fabric is 3000 yards. Five hundred hours of production time have been scheduled. Four hundred units of packaging material are available. Each of these values can be adjusted through overtime or extra purchases. Durham would like to achieve a profit of $3200, avoid purchasing more fabric or packaging material, and use all of the hours scheduled. Give the goal programming model.

Rosie's Ribs is in need of an office management software package. After considerable research, Rosie has narrowed her choice to one of three packages: N-able, VersaSuite, and SoftTrack. She has determined her decision-making criteria, assigned a weight to each criterion, and rated how well each alternative satisfies each criterion. ​ Using a scoring model, determine the recommended software package for Rosie's.

Computing the consistency ratio for a criterion's pair-wise comparison matrix is the next step after

John Harris is interested in purchasing a new Harley-Davidson motorcycle. He has narrowed his choice to one of three models: Sportster Classic, Heritage Softtail, and Electra Glide. After much consideration, John has determined his decision-making criteria, assigned a weight to each criterion, and rated how well each decision alternative satisfies each criterion. Using a scoring model, determine the recommended motorcycle model for John.