The Analytic Hierarchy Process

Preface
PART ONE THE ANALYTIC HIERARCHY PROCESS
	1 Hierarchies and priorities: A first look
		1-1 Introduction
		1-2 Measurement and the judgmental process
		1-3 Hierarchies
		1-4 Priority in hierarchies
		1-5 Intuitive justification of the method
		1 -6 Hierarchical composition of priorities by example
		1-7 Protocol of a prioritization session
		1-8 Summary
		1-9 Hierarchies and judgments by questionnaire
	2 Instructive examples
		2-1 Introduction
		2-2 Tests for accuracy, RMS and MAD
		2-3 Illumination intensity and the Inverse Square Law
		2-4 Wealth of nations through their world influence
		2-5 Estimating distances
		2-6 Typical hierarchies
		2-7 Psychotherapy
		2-8 Energy allocation
	3 Foundations and extensions
		3-1 Introduction
		3-2 Priority as an eigenvector: Relation to consistency
		3-3 Scale comparison
		3-4 Comparing the eigenvector method with other methods
		3-5 Revising judgments
		3-6 All the eigenvalues and eigenvectors: The wealth example of Chapter 2
		3-7 Consensus and the Delphi method
		3-8 Some extensions
	4 Hierarchies and priorities: A formal approach
		4-1 Introduction
		4-2 Hierarchies and priorities
		4-3 Decomposition and aggregation or clustering
		4-4 Standardizing the measurement of elements in a large class
		4-5 Consistency of a hierarchy
		4-6 Graph theoretic interpretation of priorities
PART TWO APPLICATIONS
	5 Prediction, dynamic priorities, input-output interdependence, and resource allocation
		5-1 Introduction
		5-2 Expected values by the AHP: Prediction
		5-3 Marginal priorities
		5-4 Dynamic judgments and the equation: A(t)w(t) = 2max(t)w(r)
		5-5 Measuring dependence between activities: Input-output; application to the Sudan
		5-6 Resource allocation
		5-7 Probability judgments
	6 Planning, conflict resolution, and other applications
		6-1 Introduction
		6-2 Integrated findings of resource priorities for a developing nation
		6-3 Measure of world influence
		6-4 Two-point boundary value processes: Forward and backward planning
		6-5 Future of higher education in the United States (1985-2000): Forward process
		6-6 Sudan Transport Study: Backward process
		6-7 Combined forward-backward process
		6-8 Conflict analysis
		6-9 Energy examples
		6-10 Beverage container problem
		6-11 Application to the choice of a democratic nominee
		6-12 Promotion and tenure question
		6-13 Optimum land use
PART THREE THEORY
	7 Positive reciprocal matrices and their eigenvalues
		7-1 Introduction
		7-2 Irreducible matrices
		7-3 Existence and uniqueness of principal eigenvectors
		7-4 Computation of the eigenvector
		7-5 Consistency
		7-6 Reciprocal matrices
		7-7 Sensitivity of the eigenvector
	8 Priorities in systems with feedback
		8-1 Introduction
		8-2 Reachability matrix in structuring systems
		8-3 Priority measurement in feedback systems
		8-4 The supermatrix: General composition of priorities
		8-5 Impact and absolute priorities
		8-6 Examples
	9 Scaling and multicriterion methods
		9-1 Introduction
		9-2 Scales and measurement
		9-3 Utility theory
		9-4 Brief comparison of the eigenvalue method with other methods of ratio scaling
		9-5 Perturbation approach: Logarithmic least squares
		9-6 Least squares for approximating a matrix by another matrix of lower rank
		9-7 Multicriterion methods
		9-8 Other comparisons
Appendix 1 Matrices and eigenvalues
Appendix 2 Some concepts from graph theory
References and Bibliography
Author Index
Subject Index