Exam 9: Multicriteria Decision Making

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 choice A is strongly preferred to choice B and choice B is moderately preferred to choice C, and the decision maker says choice C is equally preferred to choice A, what conclusion can be drawn?

The objective function in a goal programming model seeks to ________ the deviation from goals in the order of the goal priorities.

A(n) ________ variable is the amount by which a goal level is exceeded.

The objective function formulation for a goal programming model is as follows: Min P₁ d₁ -, P₂ d₂ -, (4 P₄ d₃ - + 6P₄ d₂ +) At the priority level 4, which one of the deviational variables is most important?

Three fast food restaurants on a college campus have been subjected to pairwise comparisons on the quality of their food. The matrix is: Pizza Mama's Papa's Freddie's Mama's 1 3 8 Papa's 1 4 Freddie's 1 Which choice does the decision maker prefer?

One goal ________ achieved at the expense of another higher-priority goal.

In synthesization, dividing each value in each column of the pairwise comparison matrix by the corresponding column sum, we obtain the ________ matrix.

At least one or both deviational variables in a goal constraint must equal 0.

Scoring models use consistency indexes to measure the degree of consistency between choices.

Values with an acceptable consistency ratio are values

A ________ deviational variable is the amount by which a goal level is exceeded.

A preference scale assigns numerical values to different levels of preference.

Objective function terms are not summed in goal programming because not all goals are achievable.

At least one or both deviational variables in a goal constraint must equal:

The different objectives in a goal programming problem are referred to as goals.

Deviation variables

The objective function in a goal programming model seeks to minimize the deviation from goals in the order of the goal priorities.

In a given AHP problem, the consistency index is .15, and the random index is .90. In this instance, there are probably serious inconsistencies and, therefore, the AHP result may not be meaningful.

A preference scale assigns numerical values to different levels of preferences.

A ________ deviational variable is the amount by which a goal level is underachieved.