Article: Tuesday, 21 October 2014

How can smart algorithms help restore rail services for travellers? Why isn’t it effective just to have a simplified train schedule with a limited number of routes? And how does smart maths contribute to increased job satisfaction among railway personnel? In his thesis Crew Management in Passenger Rail Transport PhD candidate Erwin Abbink from Rotterdam School of Management, Erasmus University (RSM) demonstrates how advanced mathematics helps the Dutch railway company Nederlandse Spoorwegen (NS) to create a better timetable, even when there are disruptions to rail services.

Algorithms as an export product

The NS performs approximately 23,000 tasks every day, from providing a single train journey to checking tickets on a particular route. Drafting a timetable for all these tasks requires many factors to be taken into account, concerned with health and safety, shift work, a diversified work roster and a fair distribution of routes, especially where some have higher incidences of aggression from passengers. After rail unions opposed the introduction of repetitive and simplified train routes, the company adopted the use of algorithms optimised by Abbink instead, and these are discussed in his thesis.
Abbink’s algorithms are not only used by NS; they have also been implemented by other rail companies such as London Underground and the state-run Danish railways DSB. The methods are also finding new applications in rail transport.


Hours, not months

These new mathematical methods make it possible to plan personnel services for ticket collectors and engineers in terms of hours instead of months, as was previously the case. Mathematical techniques are also increasingly used for rapid adjustments to the rail timetable during wintry weather, or for quick redeployment of train personnel in the event of disruption, allowing trains to move more efficiently and giving employees more job satisfaction. At the same time there are fewer cancellations, which results in a better service for passengers.

The deployment of drivers and conductors on trains in NS is essential for delivering services to travellers, and forms a large part of the company's costs. In his thesis, Abbink presents various models and algorithms to support the planning and adjustment of such mobile workers. He also gives a more managerial consideration of the related change process and lessons learned from the introduction of these systems into practice.

Their introduction has resulted in a more stable and satisfying relationship between NS and its staff. In addition, planning is a quicker process, taking just a few hours, and the analysis of scenarios has saved a lot of time for the company by making it possible to adjust employment contracts.

As a result of the algorithms, Abbink can also quickly customise rail services; for example if wintry conditions are expected. Finally, it is now also possible to adjust staffing on the day using advanced decision support systems meaning fewer delays and cancelled trains and greater adaptability.

Erwin Abbink

Former researcher

Pile of books with vibrant bookmarks protruding from various pages, symbolizing in-depth research.

Related articles

RSM Discovery

Want to elevate your business to the next level using the latest research? RSM Discovery is your online research platform. Read the latest insights from the best researchers in the field of business. You can also subscribe to the newsletter to receive a bimonthly highlight with the most popular articles.

Do you want to learn more about this subject?

Check out these RSM education programmes

Your contact for more information:

Danielle Baan

Science Communication and Media Officer

Portrait of Erika Harriford-McLaren

Erika Harriford-McLaren

Corporate Communications & PR Manager

Erasmus University campus in autumn, showcasing its iconic red trees, viewed from across the campus pool.