Exam 14: Multicriteria Decisions

There can only be one goal at each priority level.

The campaign headquarters of Jerry Black, a candidate for the Board of Supervisors, has 100 volunteers. With one week to go in the election, there are three major strategies remaining: media advertising, door-to-door canvassing, and telephone campaigning. It is estimated that each phone call will take approximately four minutes and each door-to-door personal contact will average seven minutes. These times include time between contacts for breaks, transportation, dialing, etc. Volunteers who work on advertising will not be able to handle any other duties. Each ad will utilize the talents of three workers for the entire week. Volunteers are expected to work 12 hours per day during the final seven days of the campaign. At a minimum, Jerry Black feels he needs 30,000 phone contacts, 20,000 personal contacts, and three advertisements during the last week. However, he would like to see 50,000 phone contacts and 50,000 personal contacts made and five advertisements developed. It is felt that advertising is 50 times as important as personal contacts, which in turn is twice as important as phone contacts. Formulate this goal programming problem with a single weighted priority to determine how the work should be distributed during the final week of the campaign.

A consumer group is using AHP to compare four used car models. Part of the pair-wise comparison matrix for "repair frequency" is shown below. a.Complete the matrix. b.Does it seem to be consistent?​

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.

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

Variables that indicate the distance a target is from the level achieved are called

A consistency ratio greater than 0.10 indicates inconsistency in the pair-wise comparisons.

Preemptive priorities in goal programming

A required step in the analytic hierarchy process is to determine

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