Mixed Fuzzy-Logic and Game-Theoretical Approach to Justify Vehicle Models for Servicing the Public Bus Line

Vitalii Naumov,Zukhra Bitileuova,Laura Bekmagambetova,Igor Taran,Zhumazhan Zhanbirov

doi:10.26552/com.c.2022.1.a26-a34

Vitalii Naumov, Zukhra Bitileuova + Show 3 more

Open Access

https://doi.org/10.26552/com.c.2022.1.a26-a34

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Abstract

One of the main problems to be solved by the transport operators is the substantiation of the vehicle models servicing the transport lines. A gametheoretical approach is proposed in this paper to justify the bus model choice based on the passengers’ preferences and the structure of the passenger flows. To estimate the customers’ preferences, the membership functions for fuzzy sets of the optimal vehicle models were defined. The simulation experiment aiming to estimate the city fleet structure in terms of the vehicles’ capacity was conducted for the Talas city (Kazakhstan) based on the proposed approach with use of the corresponding software implementation of the developed mathematical models. As a result of the experimental studies, the impact of the passengers’ flow structure and the number of carriers on the rational structure of the city bus fleet was studied in the paper.

Highlights

Contemporary markets of the public transport services in the cities are highly stochastic environments where several servicing transport companies compete for the preferences of clients - the passengers who use the public transport lines
One can say that the preferences of passengers when choosing a particular bus line depend on the bus models used by the given carrier. This assumption does not consider the timetables of public transport lines: that feature could be provided in the assessment of the passengers’ preferences if the passengers’ opinion on the service frequency would be studied
The proposed methodology makes it possible to determine the optimal models of buses for transporting passengers and a rational quantitative ratio of buses of these models for each of the carriers for a city’s existing public transport network

Summary

Introduction

Contemporary markets of the public transport services in the cities are highly stochastic environments where several servicing transport companies compete for the preferences of clients - the passengers who use the public transport lines. If the fulfillment of the passenger’s need for travel is possible in one way only - by using a single bus line available, the carrier gets the maximum possible share of the market sector. If the need for movement can be realized in more than one way (the trip can be implemented by the means of more than one public transport line), the passenger has a choice. Depending on the strategy chosen by the carrier, the passenger will give preference to the corresponding bus line. This study aims to determine the optimal quality composition of the city bus fleet, considering the interests of passengers and carriers. The main objective of this research is to determine the optimal carrier strategy (in terms of the choice of bus models) that guarantees the biggest possible market share

Literature review

Case study and discussion

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Conclusions