Assessment of options to meet transport needs using the MAJA multi-criteria method

Jerzy Małachowski; Jarosław Ziółkowski; Mateusz Oszczypała; Joanna Szkutnik-Rogoż; Aleksandra Lęgas

doi:10.5604/01.3001.0014.7482

Authors

Jerzy Małachowski Faculty of Mechanical Engineering, Military University of Technology Author
Jarosław Ziółkowski Faculty of Mechanical Engineering, Military University of Technology Author
Mateusz Oszczypała Faculty of Mechanical Engineering, Military University of Technology Author
Joanna Szkutnik-Rogoż Faculty of Mechanical Engineering, Military University of Technology Author
Aleksandra Lęgas Faculty of Mechanical Engineering, Military University of Technology Author

DOI:

https://doi.org/10.5604/01.3001.0014.7482

Keywords:

transport, multi-criteria method, transport costs, optimization, decision problem

Abstract

The problem of choosing the way to move people is often encountered both in scientific research and in everyday life. The difficulty of this process depends on the availability of many variants and the pursuit of satisfying transport needs at the minimum cost, in the shortest possible time and in the most comfortable conditions. The publication presents a decision problem of choosing the best transport option using multi-criteria methods. At the beginning authors presented the widely used methods of solving decision problems in the literature. Subsequently, based on the example of the Warsaw-Wroclaw connection, the MAJA multi-criteria assessment method algorithm was analysed. Both road, rail and air transport options were considered. Six possible variants of solutions were indicated, which were assessed in three sub-criteria: cost, time and comfort of travel. Then, the results of the analysis were compared with the results obtained using other multi-criteria decision-making support methods, i.e. ELECTRE I, AHP, TOPSIS, PROMETHEE, SAW, PVM. The considered methods were divided according to the way the result was presented, as a result of which the methods based on the relation of superiority (which included the MAJA method) and methods using ranking were distinguished, and then an intra-group comparison was made. On the basis of the constructed compliance matrix of the relation of superiority, it was found that domination methods exhibited convergence of the obtained results. However, in order to compare the convergence of the results of the ranking methods, the Spearman's linear correlation coefficient was used. The applied MAJA multi-criteria method has made it possible to determine non-dominated solutions considered optimal taking into account the adopted weights of criteria and compliance and non-compliance thresholds. Its unquestionable advantage is the possibility of using many partial criteria expressed in different measurement units. In the presented example, the best options were the premium express rail transport and airplane. The summary defines the direction of further research and possibilities of modification of the presented method.

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