Tropical Mathematics & Optimisation for Railways

School of Engineering
Engineering and Physical Sciences, Lectures Talks and Workshops, Research
Monday 18th June 2018 (10:00-18:00)
Download the date to your calendar (.ics file)

For more information, please contact Sergey Sergeev on

The main purpose of this workshop is to bring together specialists in tropical mathematics and mathematical optimisation applied in railway engineering and to foster further collaboration between them. It is inspired by some applications of tropical mathematics to the analysis of railway timetables. The most elementary of them is based on a controlled tropically linear dynamic system, which allows for a stability analysis of a regular timetable and can model the delay propagation. Tropical (max-plus) switching systems are one of the extensions of this elementary model.  Tropical mathematics also provides appropriate mathematical language and tools for various other applications which willbe presented at the workshop.

The talks on mathematical optimisation in railway engineering will be given by Professor Clive Roberts and other prominent specialists working at the Birmingham Centre for Railway Research and Education (BCRRE). They will inform the workshop participants about the problems that are of actual interest for railways, and suggest efficient and practical methods of their solution.


Professor Clive Roberts and Dr Sergey Sergeev

Confirmed Speakers

  • Professor Clive Roberts (BCCRE, University of Birmingham)
  • Ton van den Boom (Technical University of Delft, the Netherlands)
  • Xavier Allamigeon (INRIA and Ecole Polytechnique, Paris, France)
  • James Hook (University of Bath, UK)


All talks will take place in School of Engineering, University of Birmingham.

Preliminary Schedule

10:00 Morning coffee

10:30 – 12:00 Talks (2x 45 min)

12:00 – 13:00:  Lunch  

13:00 – 14:30:   Talks(2x 45 or 3x30 min)

14:30 Tea/Coffee

15:00 – 16:30:  Talks (2x 45 or 3x 30 min)

16:30 Tea/Coffee

17:00 – 17:45: Final talk

18:00 Dinner
Please inform Sergei Sergeev whether you are going to join the organizers and the speakers for dinner.