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Planning, priority setting & resource allocation using the multicriteria decision making approach of the Analytic Hierarchy Process (AHP). Discover how to structure complex multi-person, multi-criteria, multi-time period problems with uncertainty & risk in hierarchic form, set priorities for the elements in each level according to their impact on the criteria or objectives of the next higher level, articulate your judgments through a series of pairwise comparisons, obtain a precise numerical measurement of the priority of each element, & synthesize all the judgments within the hierarchy to reach a best decision. The Analytic Hierarchy Process is a simple, yet powerful decision-making tool for planning, structuring priorities, weighing alternatives, allocating resources, analyzing policy impacts & resolving conflicts. This is the classical book on the AHP giving a complete grounding in the theory along with examples & applications. New theoretical results have been included in this revised & extended edition.
The Analytic Hierarchy Process
Hierarchies and priorities: A first look
Measurement and the judgmental process
Hierarchies
Priority in hierarchies
Intuitive justification of the method
Hierarchical composition of priorities by example
Protocol of a prioritization session
Hierarchies and judgments by questionnaire
Instructive examples
Tests for accuracy, RMS and MAD
Illumination intensity and the Inverse Square Law
Wealth of nations through their world influence
Estimating distances
Typical hierarchies
Psychotherapy
Energy allocation
Foundations and extensions
Priority as an eigenvector: Relation to consistency
Scale comparison
Comparing the eigenvector method with other methods
Revising judgments
All the eigenvalues and eigenvectors: The wealth example of Chapter 2
Consensus and the Delphi method
Some extensions
Hierarchies and priorities: A formal approach
Hierarchies and priorities
Decomposition and aggregation or clustering
Standardizing the measurement of elements in a large class
Consistency of a hierarchy
Graph theoretic interpretation of priorities
Applications
Prediction, dynamic priorities, input-output interdependence, and resource allocation
Expected values by the AHP: Prediction
Marginal priorities
Dynamic judgments and the equation: A(t)w(t) = λmax(t)w(t)
Measuring dependence between activities: Input-output application to the Sudan
Resource allocation
Probability judgments
Planning, conflict resolution, and other applications
Integrated findings of resource priorities for a developing nation
Measure of world influence
Two-point boundary value processes: Forward and backward planning
Future of higher education in the United States (1985-2000): Forward process
Sudan Transport Study: Backward process
Combined forward-backward process
Conflict analysis
Energy examples
Beverage container problem
Application to the choice of a democratic nominee
Promotion and tenure question
Optimum land use
Theory
Positive reciprocal matrices and their eigenvalues
Irreducible matrices
Existence and uniqueness of principal eigenvectors
Computation of the eigenvector
Consistency
Reciprocal matrices
Sensitivity of the eigenvector
Priorities in systems with feedback
Reachability matrix in structuring systems
Priority measurement in feedback systems
The supermatrix: General composition of priorities
Impact and absolute priorities
Examples
Scaling and multicriterion methods
Scales and measurement
Utility theory
Brief comparison of the eigenvalue method with other methods of ratio scaling
Perturbation approach: Logarithmic least squares
Least squares for approximating a matrix by another matrix of lower rank
Multicriterion methods
Other comparisons
Appendixes
Matrices and eigenvalues
Some concepts from graph theory
References and Bibliography
Author Index
Subject Index