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Article

Microscale Modeling of Boarding and Alighting Processes at Shared-Use Bus Stops Under High Traffic Disruption

by
Justyna Stępień
Department of Transportation Engineering, Faculty of Civil Engineering and Architecture, Kielce University of Technology, Tysiąclecia Państwa Polskiego Ave. 7, 25−314 Kielce, Poland
Appl. Sci. 2026, 16(1), 269; https://doi.org/10.3390/app16010269 (registering DOI)
Submission received: 2 November 2025 / Revised: 14 December 2025 / Accepted: 15 December 2025 / Published: 26 December 2025
(This article belongs to the Special Issue Transportation Planning, Management and Optimization: 2nd Edition)

Featured Application

The developed model can be applied as a component in microsimulation analyses of shared bus stop operations, allowing the assessment of passenger boarding and alighting efficiency, the optimisation of platform length, and supporting administrative decisions related to service organization and the admission of new operators.

Abstract

With the growing heterogeneity of public transport systems, accurate representation of passenger service processes at bus stops shared by multiple operators has become increasingly important. This study develops and validates a microscopic model of passenger boarding and alighting at bus stops characterized by unstructured service patterns, diverse vehicle fleets, and irregular stopping positions. The approach focuses on individual passenger movements, enabling modeling of walking times from different waiting positions and assessing how passenger distribution and bus stopping positions affect total dwell time. Variables describing the boarding and alighting process, including waiting position, vehicle stopping position, individual boarding and alighting times, and passenger walking speed, were modeled as random variables following theoretical distributions (beta, logistic, log-normal, and normal). Bayesian estimation and bootstrap methods were applied to assess parameter stability and model fit. Field studies were conducted in two Polish cities (Kraków and Kielce) at 18 high-interference bus stop locations. Results indicate that the proposed probabilistic modeling approach enhances the accuracy of passenger flow representation and supports analysis of the effects of passenger dispersion and bus stopping position on service efficiency. The developed model can be used in microsimulation of bus stop operations, transport infrastructure design, and decision-making by transport management authorities.
Keywords: bus stop; shared-use; dwell time; passenger boarding and alighting time; microsimulation; probabilistic modeling; stochastic processes; bootstrap analysis; Bayesian estimation; urban transport efficiency bus stop; shared-use; dwell time; passenger boarding and alighting time; microsimulation; probabilistic modeling; stochastic processes; bootstrap analysis; Bayesian estimation; urban transport efficiency

Share and Cite

MDPI and ACS Style

Stępień, J. Microscale Modeling of Boarding and Alighting Processes at Shared-Use Bus Stops Under High Traffic Disruption. Appl. Sci. 2026, 16, 269. https://doi.org/10.3390/app16010269

AMA Style

Stępień J. Microscale Modeling of Boarding and Alighting Processes at Shared-Use Bus Stops Under High Traffic Disruption. Applied Sciences. 2026; 16(1):269. https://doi.org/10.3390/app16010269

Chicago/Turabian Style

Stępień, Justyna. 2026. "Microscale Modeling of Boarding and Alighting Processes at Shared-Use Bus Stops Under High Traffic Disruption" Applied Sciences 16, no. 1: 269. https://doi.org/10.3390/app16010269

APA Style

Stępień, J. (2026). Microscale Modeling of Boarding and Alighting Processes at Shared-Use Bus Stops Under High Traffic Disruption. Applied Sciences, 16(1), 269. https://doi.org/10.3390/app16010269

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