Bridging Passenger Perception and Timetable Optimisation: Empirically Derived Satisfaction Weights for Rail Transit Scheduling

Existing timetable optimisation models for urban rail transit predominantly adopt operator-oriented objectives with assumed passenger-related weights. This paper proposes a passenger satisfaction-oriented timetable optimisation framework in which satisfaction weights are empirically derived from confirmatory factor analysis and Cramér’s V analysis of survey data collected from 439 passengers on Nanning Rail Transit Line 1. Seven scheduling-related service attributes are formally expressed as functions of timetable decision variables, establishing a direct linkage between passenger perception and scheduling decisions. A multi-objective model minimises a weighted combination of passenger dissatisfaction, operational cost, and stranded passenger ratio, solved by a Passenger Satisfaction-oriented Adaptive Dispatch Heuristic (PS-ADH) integrating simulated annealing with a passenger flow simulation module. Case study results demonstrate simultaneous improvements of 3.78% in composite objective value, 3.25% in passenger dissatisfaction, and 3.25% in operational cost, with a 27.4% reduction in stranded passengers. The optimised strategy is selected consistently across all ten random initialisations (CV = 0.13%). Sensitivity analysis reveals a structural break at cost weight β=0.4, beyond which the optimal strategy shifts qualitatively toward cost minimisation at the expense of service quality. The framework provides a transferable methodology for integrating passenger perception data into rail transit scheduling for emerging urban rail systems.

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Publication Details

Journal
Mathematics
Published
2026-06-16
DOI
https://doi.org/10.3390/math14122152
Primary Topic
Railway Systems and Energy Efficiency
Type
article
Field-Weighted Citation Impact
0.00

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article

Bridging Passenger Perception and Timetable Optimisation: Empirically Derived Satisfaction Weights for Rail Transit Scheduling

Muhamad Nazri Borhan, Ahmad Nazrul Hakimi Ibrahim, Mengting Zeng, Jie Shang et al.
Mathematics
Railway Systems and Energy Efficiency
article

Bridging Passenger Perception and Timetable Optimisation: Empirically Derived Satisfaction Weights for Rail Transit Scheduling

Muhamad Nazri Borhan, Ahmad Nazrul Hakimi Ibrahim, Mengting Zeng, Jie Shang, Jianqiu Chen
article en

Abstract

Existing timetable optimisation models for urban rail transit predominantly adopt operator-oriented objectives with assumed passenger-related weights. This paper proposes a passenger satisfaction-oriented timetable optimisation framework in which satisfaction weights are empirically derived from confirmatory factor analysis and Cramér’s V analysis of survey data collected from 439 passengers on Nanning Rail Transit Line 1. Seven scheduling-related service attributes are formally expressed as functions of timetable decision variables, establishing a direct linkage between passenger perception and scheduling decisions. A multi-objective model minimises a weighted combination of passenger dissatisfaction, operational cost, and stranded passenger ratio, solved by a Passenger Satisfaction-oriented Adaptive Dispatch Heuristic (PS-ADH) integrating simulated annealing with a passenger flow simulation module. Case study results demonstrate simultaneous improvements of 3.78% in composite objective value, 3.25% in passenger dissatisfaction, and 3.25% in operational cost, with a 27.4% reduction in stranded passengers. The optimised strategy is selected consistently across all ten random initialisations (CV = 0.13%). Sensitivity analysis reveals a structural break at cost weight β=0.4, beyond which the optimal strategy shifts qualitatively toward cost minimisation at the expense of service quality. The framework provides a transferable methodology for integrating passenger perception data into rail transit scheduling for emerging urban rail systems.

MathematicsVol. 14(12)
Guangxi Transportation Research Institute (CN), Nanning Normal University (CN), National University of Malaysia (MY)
Science and Technology Department of Guangxi Zhuang Autonomous, Guangxi University
Sustainable cities and communities
Openalex Percentile: Top 6%
Railway Systems and Energy Efficiency
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