Credibility-based rescheduling model in a double-track railway network: a fuzzy reliable optimization approach

• We propose a new fuzzy programming model for rescheduling trains in railway networks based on the fuzzy variable representation of incident duration.
• Space–time network is introduced to denote the route selection space for each train, by which rescheduling process is transformed into a coordinated routing problem.
• GAMS optimization software is used to solve the problem.
• The effectiveness of proposed approaches is verified by numerical experiments.

Using a space–time network to represent the choice of train trajectories, this paper proposes a fuzzy optimization framework to reschedule trains in a double-track railway network when the capacity reduction is caused by a low-probability incident. We explicitly introduce a fuzzy variable-based recovery time to capture the uncertainty of incident duration based on professional judgements or empirical estimates. The problem is then formulated as a credibilistic two-stage fuzzy 0–1 integer optimization model to find a reliable operational plan for emergency response guidance. The first stage of the model aims to generate a traversing order on the incident link, and meanwhile the second stage adaptively generates optimized schedules to evaluate the operational plan. Crisp equivalents of mathematical models are further investigated to simplify solution methodologies. The numerical experiments, which are solved by using the GAMS optimization software, demonstrate the effectiveness and efficiency of the proposed approaches.