Exam 14: Multicriteria Decisions

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

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A decision with more than one objective

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Pairwise comparisons are used to

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

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Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below. Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below.   ​ The universities' pairwise comparisons on the criteria are shown below.           ​  a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities? ​ The universities' pairwise comparisons on the criteria are shown below. Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below.   ​ The universities' pairwise comparisons on the criteria are shown below.           ​  a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities? Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below.   ​ The universities' pairwise comparisons on the criteria are shown below.           ​  a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities? Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below.   ​ The universities' pairwise comparisons on the criteria are shown below.           ​  a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities? Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below.   ​ The universities' pairwise comparisons on the criteria are shown below.           ​  a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities? Like many high school seniors,Anne has several universities to consider when making her final college choice.To assist in her decision,she has decided to use AHP to develop a ranking for school R,school P,and school M.The schools will be evaluated on five criteria,and Anne's pairwise comparison matrix for the criteria is shown below.   ​ The universities' pairwise comparisons on the criteria are shown below.           ​  a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities? ​ a.What is the overall ranking of the five criteria? b.What is the overall ranking of the three universities?

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The constraint 5x1 + 3x2 ≤ 150 is modified to become a goal equation,and priority one is to avoid overutilization.Which of the following is appropriate?

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

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Solve the following problem graphically: Solve the following problem graphically:

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A required step in the analytic hierarchy process is to determine

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Goal equations consist of a function that defines goal achievement and deviation variables that measure the distance from the target.

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In an AHP problem,the priorities for three criteria are as follows: In an AHP problem,the priorities for three criteria are as follows:   ​ The priority matrix is as follows   ​ Compute the overall priority for each choice. ​ The priority matrix is as follows In an AHP problem,the priorities for three criteria are as follows:   ​ The priority matrix is as follows   ​ Compute the overall priority for each choice. ​ Compute the overall priority for each choice.

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In a goal programming model,there can only be one goal at each priority level.

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Lofton Company has developed the following linear programming problem: Lofton Company has developed the following linear programming problem:   ​ Lofton finds this problem is infeasible.In revision,Lofton drops the original objective and establishes three goals.   ​ Give the goal programming model and solve it graphically.​ ​ Lofton finds this problem is infeasible.In revision,Lofton drops the original objective and establishes three goals. Lofton Company has developed the following linear programming problem:   ​ Lofton finds this problem is infeasible.In revision,Lofton drops the original objective and establishes three goals.   ​ Give the goal programming model and solve it graphically.​ ​ Give the goal programming model and solve it graphically.​

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If a problem has multiple goals at different priority levels,then it is rare that all the goals will be achieved with existing resources.

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Goal programming with preemptive priorities never permits trade-offs between

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Goal priorities are referred to as preemptive priorities because the satisfaction of a higher level goal cannot be traded for the satisfaction of a lower level goal.

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For a scoring model,the decision maker evaluates each decision alternative by considering the weight or importance of each criterion.

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The goal programming approach can be used when an analyst is confronted with an infeasible solution to an ordinary linear program.

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The objective function in a goal programming model calls for minimizing a function of the

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As treasurer of the school PTA,you chair the committee that decides 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. As treasurer of the school PTA,you chair the committee that decides 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.   ​ ​ Develop a goal programming model that would represent these goals and priorities. As treasurer of the school PTA,you chair the committee that decides 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.   ​

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