Question 1

Deviation variables that occur in the objective function indicate

Accepted Answer

A) the targets. 
B) the priorities. 
C) only the areas that are of concern. 
D) the difference between all actual and target values. 
A) the targets. 
B) the priorities. 
C) only the areas that are of concern. 
D) the difference between all actual and target values.

Question 2

Why are multicriteria problems of special interest to quantitative analysts?

Accepted Answer

Multicriteria problems are of special in

Question 3

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

Accepted Answer

A) Min P1d1- ; 5x1 + 3x2 + d1--d1+ = 150 
B) Min P1d1+ ; 5x1 + 3x2 + d1- -d1+ = 150 
C) Min P1d1+ ; 5x1 + 3x2 + d1+ = 150 
D) Min P1d1+ ; 5x1 + 3x2 -d1+ = 150 
A) Min P1d1- ; 5x1 + 3x2 + d1--d1+ = 150 
B) Min P1d1+ ; 5x1 + 3x2 + d1- -d1+ = 150 
C) Min P1d1+ ; 5x1 + 3x2 + d1+ = 150 
D) Min P1d1+ ; 5x1 + 3x2 -d1+ = 150

Question 4

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. $$\begin{array} { l | c c c } 
& \begin{array} { c } 
\text { Recreation } \
\text { Opportunities }
\end{array} & \begin{array} { c } 
\text { Proximity to } \
\text { University }
\end{array} & \begin{array} { c } 
\text { Cost of } \
\text { Living }
\end{array} \
\hline \text { Recreation opportunities } & 1 & 1 / 3 & 1 / 5 \
\text { Proximity to university } & 3 & 1 & 1 / 4 \
\text { Cost of living } & 5 & 4 & 1
\end{array}$$ Determine priorities for the three relative to the overall location goal.

Accepted Answer

The answer of A computer company looking for a new...

Question 5

Goal programming with preemptive priorities never permits trade-offs between

Accepted Answer

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. 
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.

Question 6

A decision with more than one objective

Accepted Answer

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. 
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.

Question 7

Inconsistency in the pair-wise judgments is indicated by a consistency ratio that is

Accepted Answer

A) less than zero 
B) greater than 0.10 
C) greater than 0.50 
D) greater than 1.00 
A) less than zero 
B) greater than 0.10 
C) greater than 0.50 
D) greater than 1.00

Question 8

In an AHP problem, the priorities for three criteria are Criterion $1 \quad .1722$
Criterion $2 \quad .1901$
Criterion $3 \quad .6377$ The priority matrix is $$\begin{array} { c c c c } 
& \text { Criterion 1 } & \text { Criterion 2 } & \text { Criterion 3 } \
\text { Choice 1 } & .425 & .292 & .850 \
\text { Choice 2 } & .330 & .251 & .105 \
\text { Choice 3 } & .245 & .457 & .045
\end{array}$$ Compute the overall priority for each choice.

Accepted Answer

a.States 1 and 2 (recover and

Question 9

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

Accepted Answer

Goal programming is a branch of multi-ob

Question 10

To solve a goal programming problem with preemptive priorities, successive linear programming programs, with an adjustment to the objective function and an additional constraint, must be solved.

Accepted Answer

A) True 
 B)False

Question 11

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.

Accepted Answer

A) True 
 B)False

Question 12

Explain the difference between hard and soft constraints in a goal programming problem.

Accepted Answer

In goal programming, hard constraints ar

Question 13

Solve the following problem graphically: $$\begin{array} { l l } 
\operatorname { Min } & \mathrm { P } _ { 1 } \left( \mathrm {~d} _ { 1 } ^ { + } \right) + \mathrm { P } _ { 2 } \left( \mathrm {~d} _ { 2 } ^ { - } \right) \
& \
\text {s.t. } & 3 \mathrm { x } _ { 1 } + 5 \mathrm { x } _ { 2 } \leq 45 \
& 3 \mathrm { x } _ { 1 } + 2 \mathrm { x } _ { 2 } - \mathrm { d } _ { 1 } ^ { + } + \mathrm { d } _ { 1 } ^ { - } = 24 \
& \mathrm { x } _ { 1 } + \mathrm { x } _ { 2 } - \mathrm { d } _ { 2 } ^ { + } + \mathrm { d } _ { 2 } ^ { - } = 10 \
& \mathrm { x } _ { 1 } , \mathrm { x } _ { 2 } , \mathrm {~d} _ { 1 } ^ { - } , \mathrm { d } _ { 1 } ^ { + } , \mathrm { d } _ { 2 } ^ { - } , \mathrm { d } _ { 2 } ^ { + } \geq 0
\end{array}$$

Accepted Answer

The answer of Solve the following problem graphically: \[\begin{array} {...

Question 14

An ATM is to be located in a campus union building so that it minimizes the distance from the food court, the gift shop, and the theater. They are located at coordinates (2,2), (0,6) and (8,0). Develop a goal programming model to use to locate the best place for the ATM.

Accepted Answer

Let x₁ = the first coordinate o

Question 15

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 pair-wise comparison matrix for the criteria is shown below. $$\begin{array} { c | c c c c c } 
& \text { Distance } & \text { Program } & \text { Size } & \text { Campus Climate } & \text { Cost } \
\hline \text { Distance } & 1 & 1 / 4 & 2 & 3 & 4 \
\text { Program } & 4 & 1 & 4 & 5 & 6 \
\text { Size } & 1 / 2 & 1 / 4 & 1 & 3 & 3 \
\text { Climate } & 1 / 3 & 1 / 5 & 1 / 3 & 1 & 2 \
\text { Cost } & 1 / 4 & 1 / 6 & 1 / 3 & 1 / 2 & 1
\end{array}$$ The universities' pair-wise comparisons on the criteria are shown below. $\begin{array} { l  }
\begin{array} { l  }
\text { Distance }\R\P\M
\end{array}&\begin{array} {| l  }
R&P&M\\hline 1&2&3\1/2&1&3/2\1/3&2/3&1
\end{array}
\end{array}$

$\begin{array} { l  }
\begin{array} { l  }
\text {  programs }\R\P\M
\end{array}&\begin{array} {| l  }
R&P&M\
\hline 1&1/2&1\
2&1&2\
1&1/2&1
\end{array}
\end{array}$

$\begin{array} { l  }
\begin{array} { l  }
\text {  Size }\R\P\M
\end{array}&\begin{array} {| l  }
R&P&M\
\hline 1&4&2\
1/4&1&1/2\
1/2&2&1
\end{array}
\end{array}$

$\begin{array} { l  }
\begin{array} { l  }
\text {  Climate }\R\P\M
\end{array}&\begin{array} {| l  }
R&P&M\
\hline 1&1&3\
1&1&3\
1/3&1/3&1
\end{array}
\end{array}$

$\begin{array} { l  }
\begin{array} { l  }
\text {  Cost }\R\P\M
\end{array}&\begin{array} {| l  }
R&P&M\
\hline 1&1/5&1\
5&1&5\
1&1/5&1
\end{array}
\end{array}$
 
a.What is the overall ranking of the five criteria?
b.What is the overall ranking of the three universities?

Accepted Answer

The spread

Question 16

The steps of the scoring model include all of the following EXCEPT:

Accepted Answer

A) list the decision-making criteria and assign a weight to each. 
B) develop a pair-wise comparison matrix for each criterion. 
C) rate how well each decision alternative satisfies each criterion. 
D) compute the total score for each decision alternative. 
A) list the decision-making criteria and assign a weight to each. 
B) develop a pair-wise comparison matrix for each criterion. 
C) rate how well each decision alternative satisfies each criterion. 
D) compute the total score for each decision alternative.

Question 17

A required step in the analytic hierarchy process is to determine

Accepted Answer

A) the goals to be satisfied. 
B) the expected value of the criteria. 
C) the relative importance of a set of features based on a criterion. 
D) how many hierarchies to use. 
A) the goals to be satisfied. 
B) the expected value of the criteria. 
C) the relative importance of a set of features based on a criterion. 
D) how many hierarchies to use.

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

A) True 
 B)False

Deviation variables that occur in the objective function indicate

Why are multicriteria problems of special interest to quantitative analysts?

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

Goal programming with preemptive priorities never permits trade-offs between

A decision with more than one objective

Inconsistency in the pair-wise judgments is indicated by a consistency ratio that is

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

To solve a goal programming problem with preemptive priorities, successive linear programming programs, with an adjustment to the objective function and an additional constraint, must be solved.

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.

Explain the difference between hard and soft constraints in a goal programming problem.

Solve the following problem graphically: Min + s.t. 3+5\leq45 3+2-+=24 +-+=10 ,,,,,\geq0

An ATM is to be located in a campus union building so that it minimizes the distance from the food court, the gift shop, and the theater. They are located at coordinates (2,2), (0,6) and (8,0). Develop a goal programming model to use to locate the best place for the ATM.

The steps of the scoring model include all of the following EXCEPT:

A required step in the analytic hierarchy process is to determine

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

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

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

Introduction

An Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance and Operations Management

Advanced Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Decision Analysis

Forecasting

Markov Processes

Linear Programming: Simplex Method

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

Exam 14: Multicriteria Decisions

Deviation variables that occur in the objective function indicate

Why are multicriteria problems of special interest to quantitative analysts?

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

Goal programming with preemptive priorities never permits trade-offs between

A decision with more than one objective

Inconsistency in the pair-wise judgments is indicated by a consistency ratio that is

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

To solve a goal programming problem with preemptive priorities, successive linear programming programs, with an adjustment to the objective function and an additional constraint, must be solved.

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.

Explain the difference between hard and soft constraints in a goal programming problem.

Solve the following problem graphically: Min + s.t. 3+5\leq45 3+2-+=24 +-+=10 ,,,,,\geq0

An ATM is to be located in a campus union building so that it minimizes the distance from the food court, the gift shop, and the theater. They are located at coordinates (2,2), (0,6) and (8,0). Develop a goal programming model to use to locate the best place for the ATM.

The steps of the scoring model include all of the following EXCEPT:

A required step in the analytic hierarchy process is to determine

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

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

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

Introduction

An Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance and Operations Management

Advanced Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Decision Analysis

Forecasting

Markov Processes

Linear Programming: Simplex Method

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

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