Examining Pareto optimality in analytic hierarchy process on real Data: An application in public transport service development
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This paper explores the concept of pareto-optimality within the Analytic Hierarchy Process (AHP) using real data from a public transport survey in Mersin, Turkey. It critiques traditional eigenvector methods for deriving decision-maker opinions and proposes a modified vector that could yield better decision outcomes. The study also assesses the effect of weight score modifications on the AHP structure and emphasizes the relevance of pareto tests in the decision-making process.
Examining Pareto optimality in analytic hierarchy process on real Data: An application in public transport service development
- 1. Examining Pareto-optimality in Analytic Hierarchy Process on Real Data with the Application for Public Transport Service Development Szabolcs Duleba, Sarbast Moslem 1, 2Department of Transport Technology and Economics, Faculty of Transportation Engineering and Vehicle Engineering, Budapest University of Technology and Economics, Műegyetem rkp. 3. Budapest, Hungary duleba.szabolcs@mail.bme.hu, moslem.sarbast@mail.bme.hu Abstract According to recent findings in operations research and decision theory, the eigenvectors derived from pairwise comparison matrices are not Pareto optimal in all cases. Thus, a better approximation may exist for characterizing the decision makers’ opinion than the traditional eigenvector method of Saaty and the Pareto optimal modified vector may lead to better decisions. This paper aims to examine Pareto- optimality on real data pairwise comparison matrices gained from a public transport analytic hierarchy process (AHP) survey. Moreover, detecting the impact of weight score modification on the whole analytic hierarchy process structure and thus the significance of Pareto test is also with in scope of this study. A detailed description of the general process of Pareto optimal AHP is also included. The application has been conducted in Mersin, Turkey with the purpose of determining public preference on the importance of developing supply quality elements in local bus transportation service. Keywords: Analytic hierarchy process (AHP), Pareto optimization, Public transport, Passenger demand, Multi criteria decision making