Railway track maintenance and renewal are vital for railway safety, train punctuality, travel comfort. Therefore, having cost-effective is critical in managing infrastructure assets. There has been a considerable amount of research performed on mathematical decision support models improving the application planning scheduling. This article reviews literature scheduling transforms results into p...

The definition of train scheduling is going to shift its current static approach, as generally resulting in a timetable, towards dynamic approach where the timetable can be modified order enhance satisfaction passengers’ demand. In this paper, demand-oriented and rescheduling models are formalized propose that satisfy groups passengers. More specifically, assessment based on min max method. pro...

A train scheduling problem in a single-track railway can be modeled as a job-shop scheduling problem. We use a mixed graph model for such a job-shop problem with appropriate criteria. There are several performance evaluations for a train schedule. Optimizing a train schedule subtends minimizing total tardiness of the trains, minimizing the sum of train transit times, minimizing the makespan for...

1 The congestion problem of urban transportation is becoming increasingly critical for many 2 metropolises. The Urban Rail Transit (URT) system has attracted substantial attention due to its 3 safety, high speed, high capacity and sustainability. With a focus on providing a holistic 4 modelling framework for train scheduling problems, this paper proposes a novel optimization 5 methodology that ...

The paper investigates train scheduling problems when prioritised trains and non-prioritised trains are simultaneously traversed in a single-line rail network. In this case, no-wait conditions arise because the prioritised trains such as express passenger trains should traverse continuously without any interruption. In comparison, non-prioritised trains such as freight trains are allowed to ent...

An integer fixed-charge multicommodity flow (FCMF) model is used as the first part of a two-phase approach for train unit scheduling, and solved by an exact branchand-price method. To strengthen knapsack constraints and deal with complicated scenarios arisen in the integer linear program (ILP) from the integer FCMF model, preprocessing is used by computing convex hulls of sets of points represe...