Exam 9: Multicriteria Decision Making

Goal constraints can include ________ deviational variables.

In determining the pairwise comparison matrix, if the decision maker rates the option A compared to option B as "4", then option B compared to option A

The majority of the goal constraints are equalities that include ________ variables.

In a goal programming model, the terms in the objective function are summed to determine the maximum profit or minimum cost.

A company has a goal of calling on at least 400 customers a month (goal 1), but no fewer than 260 customers a month (goal 2). If X represents the number of customers contacted, which pair of constraints listed below is the appropriate representation in a goal programming problem?

Goal programming solutions do not always achieve all goals.

In a pairwise comparison, two alternatives are compared according to a criterion and one is preferred.

In a facility location problem, if location A receives a score of 45 for the criteria "traffic congestion", which has a weight of .30; a score of 50 for the criteria "labor force", which has a weight of .45; and a score of 60 for "utilities", which has a weight of .25, the overall score for location A is ________.

Using the normalized matrix given below, calculate the row averages. $\left[ \begin{array} { l l l } .7321 & .6666 & .7692 \\.1219 & .1111 & .0769 \\.1463 & .2222 & .1538\end{array} \right]$

A company has a goal to maintain the current employment level, but places more importance on laying employees off than on hiring new employees. In other words, the company would rather hire than lay off employees. If the company assigns a "penalty weight" of 4 for the amount under the employment goal (goal 2) and a weight of 2 for the amount over the employment goal, how would this be expressed in the objective function?

Deviational variables that occur in the objective function and the constraints of a goal programming model indicate the difference between all actual and ________ values.

Assume that a plant manager has to decide where to locate its warehouse The decision has been narrowed down to choices among the following three cities: Detroit, Cleveland, and St. Louis. The following pairwise comparison matrix summarizes the preferences of the plant manager. Detroit Cleveland St. Louis Detroit 1 1/3 1/4 Cleveland 3 1 1/2 St. Louis 4 2 1 Which choice does the decision maker prefer?

Assume that a plant manager has to decide where to locate its warehouse The decision has been narrowed down to choices among the following three cities: Detroit, Cleveland, and St. Louis. The company has weighted each of these criteria in terms of its relative importance in the decision making process, and it has analyzed each potential warehouse location and graded them according to each criteria as shown in the following table. Decision Criteria Weight Grades for Detroit Grades for Cleveland Grades for St. Louis Proximity to suppliers .45 80 70 60 Proximity to customers .35 75 90 80 Land and construction costs .20 60 50 85 From the scores for each location, determine where the warehouse should be located.

Assume that a plant manager has to decide where to locate its warehouse The decision has been narrowed down to choices among the following three cities: Detroit,, Cleveland, and St. Louis. The company has weighted each of these criteria in terms of its relative importance in the decision making process, and it has analyzed each potential warehouse location and graded them according to each criteria as shown in the following table. Decision Criteria Weight Grades for Detroit Grades for Cleveland Grades for St. Louis Proximity to suppliers .45 80 70 60 Proximity to customers .35 75 90 80 Land and construction costs .20 60 50 85 Calculate the scores for each location and state where the warehouse should be located.

A goal can be achieved at the expense of another lower-priority goal.

A requirement for the solution procedure for the goal programming problem is that all goals must be achieved.

In the ________ process, the decision maker determines how well each alternative scores on a criterion using pairwise comparisons.

Centerville city council is in the process of developing city tax rates. The annual tax base for real estate property is $750 million and for general sales, $80 million. Annual local gas consumption is estimated at 12 million gallons. They have three goals, listed in order of priority: 1. Tax revenues must be at least $25 million to meet the city's financial commitments. 2. Sales tax cannot exceed 25% of all taxes collected. 3. Gasoline tax cannot exceed 8 cents per gallon. Formulate as a goal programming problem.

A business is trying to decide which restaurant to hold its annual awards banquet. Use the information below to determine the best choice. Restaurant Criteria Weight A B C Appearance 0.15 40 65 60 Service 0.30 75 80 70 Atmosphere 0.15 60 40 70 Location 0.10 90 100 75 Quality of food 0.30 70 80 75

Riverside Industries makes two products and each product is processed in three departments. The time requirements for each product in each department are given below. The profit for each product is also provided as well as the available hours in each department. Product Department A Department B Department C Profit 3 4 2 1 2 1 2 2 Available\nobreakspaceHours 600 400 400 Management wants to achieve three goals. The first two goals are equal in priority. Priority 1: Produce at least 125 units of product 1. Priority 1: Produce at least 80 units of product 2. Priority 2: Achieve a profit of at least 300. -If the second goal was to produce no more than 80 units of product two, the objective function would be: