This paper briefly reviews the analytic hierarchy process (AHP) and its applications in diverse decision problems. It addresses some of the major extensions and criticisms of the method, as well.

The Analytic Hierarchy Process—A Survey of the Method and its Applications

In this paper the authors review the developments of the analytic hierarchy process (AHP) since its inception. The focus of this paper is a neutral review on the methodological developments rather than reporting its applications that have appeared since its introduction. In particular, we discuss problem modelling, pair-wise comparisons, judgement scales, derivation methods, consistency indices, incomplete matrix, synthesis of the weights, sensitivity analysis and group decisions. All have been important areas of research in AHP.

https://pure.port.ac.uk/ws/files/94447/AHP_review_Preprint.pdf

Review of the main developments in the analytic hierarchy process

An overview of the analytic hierarchy process and its applications

A note on the analysis of subjective judgment matrices

The Analytic Hierarchy Process developed by Saaty (Saaty, T. L. 1980. The Analytic Hierarchy Process. McGraw-Hill, New York.) has proven to be an extremely useful method for decision making and planning. However, some researchers in these areas have raised concerns over the theoretical basis underlying this process. This paper addresses currently debated issues concerning the theoretical foundations of the Analytic Hierarchy Process. We also illustrate through proof and through examples the validity or fallaciousness of these criticisms.

The theory of ratio scale estimation: Saaty's analytic hierarchy process

: Rising concern with drug use in the United States has led to increased emphasis on the interdiction of drugs before they reach the country. The military services are now being asked to assume a substantial share of the burden of this interdiction. This report analyzes the consequences of greater stringency in drug interdiction efforts, focusing particularly on how such increased stringency might influence the consumption of cocaine and marijuana. The analysis strongly suggests that a major increase in interdiction activities, even including the military, is likely to significantly reduce drug consumption in the United States.

/pdf/sealing-the-borders-the-effects-of-increased-military-2yidrm8rm7.pdf

Sealing the Borders: The Effects of Increased Military Participation in Drug Interdiction

: A popular method for quantifying subjective judgment utilizes the dominant eigenvector of a matrix of paired comparisons. The eigenvector yields a scale of the importance of each element of a collection relative to the others. The scale is based on a matrix of subjective paired comparisons of elements of the collection. Thomas Saaty has shown this to be a useful tool for analyzing hierarchical structures in many military and industrial applications: by estimating the scale at each level of a structured problem, this procedure yields the relative importance of the elements at the bottom level of the hierarchy to the goals or output at the top level. For this class of problems the geometric mean vector is computationally easier than statistically preferable to the eigenvector. Further, the geometric mean vector is applicable to a wider class of problems and has the advantage of arising from common statistical and mathematical models. The statistical advantages of the proposed procedure are theoretically and empirically demonstrated. (Author)

Gordon Crawford

Papers

A note on the analysis of subjective judgment matrices

Sealing the Borders: The Effects of Increased Military Participation in Drug Interdiction

The Analysis of Subjective Judgment Matrices.

Simulation of adaptive response: A model of drug interdiction

Sealing the Borders