Get Analytical Planning: The Organization of Systems PDF

By Thomas L. Saaty, Kevin P. Kearns

ISBN-10: 0080325998

ISBN-13: 9780080325996

This booklet offers a methodological method of making plans utilizing the Analytic Hierarchy technique (AHP).

Part I, structures and Complexity, has chapters on Complexity and platforms and the way they relate to the Analytic Hierarchy technique.

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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Extra resources for Analytical Planning: The Organization of Systems (International Series in Modern Applied Mathematics and Computer Science, Volume 7)

Example text

In either case the reciprocal ratio is entered in the transpose position of the matrix. Thus we are always dealing 26 Analytical Planning with positive reciprocal matrices and need only elicit — ^ — - j u d g m e n t s where η is the total number of elements being compared. We do not assume that people are perfectly consistent and except for reciprocals in the transpose position do not force judgments for consistency. It is possible to construct a judgment matrix from fewer than ^ ^ judgments taken from different people along what is known as spanning trees.

The pairwise comparisons are done in terms of which element dominates the other. ) If element A dominates element B, then the whole number (integer) is entered in row A, column Β and the reciprocal (fraction) is entered in row B, column A. Of course, if element Β dominates element A then the reverse occurs. The whole number is then placed in the B, A position with the reciprocal automatically being assigned to the A, Β position. If A and Β are judged to be equal, a one is assigned to both positions.

A simple example of the consequence of error in weighing objects is to find that A is heavier than B, and Β is heavier than C but C is heavier than A. This can happen particularly when the weights of A, B, and C are close, and the instrument is not fine enough to distinguish between them. Lack of consistency may be serious for some problems but not for others. For example, if the objects are two chemicals to be mixed together in exact proportion to make a drug, inconsistency may mean that proportionately more of one chemical is used than the other possibly leading to harmful results in using the drug.

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Analytical Planning: The Organization of Systems (International Series in Modern Applied Mathematics and Computer Science, Volume 7) by Thomas L. Saaty, Kevin P. Kearns

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