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Designing limited-stop bus services for minimizing operator and user costs under crowding conditions

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Abstract

Dwell time is the amount of time required for performing boarding and alighting activities at stops. Under peak-load conditions, the dwell time can significantly increase due to a higher friction between on-board passengers when alighting and boarding. The influence of on-board crowding on increasing dwell time is indisputable. Herein, we develop a mixed-integer nonlinear programming (MINLP) model to optimize limited-stop patterns for bus services to minimize user and operator costs. The number of non-stop consecutive buses authorized to skip a station and in-vehicle crowding conditions are explicitly considered in our modeling framework. The benefits of limited-stop bus services are mainly overestimated in previous studies that ignore such operating conditions. Moreover, a genetic algorithm is developed to solve the problem in real-world cases. The findings show that the implementation of a limited-stop bus service can reduce in-vehicle travel times for passengers and operating costs for bus agencies in all-demand cases. Nonetheless, it can increase waiting times for users whose origin or destination stations are skipped due to the implementation of limited-stop services. Thus, the desirability of a limited-stop service can decrease with the growth of the demand level.

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Acknowledgements

The authors would like to thank the reviewers and the Editor-in-Chief (Prof. Stefan Voß) for the valuable comments, which have been very helpful in improving the paper.

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MS: Conceptualization, methodology, mathematical modeling, developing solution method (genetic algorithm), programming, software, validation, formal analysis, manuscript writing-review and editing. ARJ-M: Supervision, project administration, result investigation, manuscript writing-review and editing. MAE: Supervision, result investigation, manuscript review. AMR: Advisor, result investigation, manuscript review.

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Correspondence to Ahmad Reza Jafarian-Moghaddam.

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Sadrani, M., Jafarian-Moghaddam, A.R., Esfahani, M.A. et al. Designing limited-stop bus services for minimizing operator and user costs under crowding conditions. Public Transp 15, 97–128 (2023). https://doi.org/10.1007/s12469-022-00307-2

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