By Thomas L. Saaty, Kevin P. Kearns
This publication offers a methodological method of making plans utilizing the Analytic Hierarchy technique (AHP).
Part I, structures and Complexity, has chapters on Complexity and structures and the way they relate to the Analytic Hierarchy method.
Part II, Strategic making plans, has chapters on present Theories of making plans, Strategic making plans, and Benefit-Cost research and source Allocation.
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Additional info for Analytical Planning: The Organization of Systems (International Series in Modern Applied Mathematics and Computer Science, Volume 7)
E. An Illustration of Subjective Judgments Using the Scale Let us return to the family faced with the problem of purchasing a house and examine the matrix illustrated in Exhibit 3-5 which represents the second level of the hierarchy. Note that the cells of the matrix have now been filled in with the family's subjective judgments using the 1 to 9 scale and based on their preferences and perception of the constraints or opportunities of the situation. " The family members agreed that size was strongly more important and therefore they entered the integer 5 in the corresponding cell; its reciprocal, or 1/5 was automatically entered for the reverse comparison.
These will be developed further in our attempts to "solve" this square reciprocal matrix. The reason for this computation is that it gives us a way to determine quantitatively the relative importance of factors or issues in a problem situation. The factors with the highest values are the ones that we should concentrate on in solving a problem or developing a plan of action. It is important to see that if w l 5 w 2 , w 3 , . . , w„ are not known in advance, then we perform pairwise comparisons on the elements by using subjective judgments estimated numerically from a scale of numbers (which we describe later) and then solve the problem to find the ws.
First, a problem confronting people or an organization is portrayed in a hierarchic fashion. Next, elements in the second level of the hierarchy are arranged in a matrix in order to elicit judgments from people The Analytic Hierarchy Process 27 who have the problem about the relative importance of the elements with respect to the overall goal. EXHIBIT 3-4. Intensity of relative importance Scale of Relative Definition Importance Explanation 1 Equal importance T w o activities contribute equally to the objective.
Analytical Planning: The Organization of Systems (International Series in Modern Applied Mathematics and Computer Science, Volume 7) by Thomas L. Saaty, Kevin P. Kearns