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Network analysis of delay propagation on Swedish railways

Landelius, Jacob and Wallgren, Elsa (2021)
Department of Automatic Control
Abstract
Travel on railway in Sweden has increased steadily over the past three decades and there are today twice as many passengers travelling by train as there were 30 years ago. The increasing awareness of environmental issues with other methods of transportation is likely to favour railway travel, and so the number of passengers is expected to continue to rise. As the number of passengers increase, so do the requirements on keeping trains on time. Delayed trains do not only cost money for train operators, but may also affect how likely we are to choose to travel by train. Understanding where and why delay occurs as well as how this delay might spread is therefore important not only from an economic point of view but from an environmental one as... (More)
Travel on railway in Sweden has increased steadily over the past three decades and there are today twice as many passengers travelling by train as there were 30 years ago. The increasing awareness of environmental issues with other methods of transportation is likely to favour railway travel, and so the number of passengers is expected to continue to rise. As the number of passengers increase, so do the requirements on keeping trains on time. Delayed trains do not only cost money for train operators, but may also affect how likely we are to choose to travel by train. Understanding where and why delay occurs as well as how this delay might spread is therefore important not only from an economic point of view but from an environmental one as well.
This thesis shows that behaviour of delay occurrence and propagation of delay in the Swedish railway network may be reproduced using an epidemic Susceptible-Infected-Susceptible (SIS) model with satisfying results. By optimizing the probability of a train carrying infection (delay) from an infected station to a susceptible one, the simulation can reproduce the level of delay over time as well as the geographic distribution of delay, thus capturing global as well as local delay behavior. The thesis further shows the necessity of heterogeneous delay propagation probabilities on edges in the network in order to reproduce real-world behavior.
Furthermore, the results indicate that re-scaling the nodal self-infection rate (spontaneous delay rate) improves the model and is needed when changing the number of delayed departures needed to make an infected state, i.e. marking a station as delayed. Simulations indicate that this nodal self-infection cannot be expressed using a linear function but varies non-linearly with the number of delayed departures. One explanation for this would be the possible dependence between self-infection rates on trains, which could be explained by the fact that some external factors giving rise to spontaneous delay might affect entire stations rather than individual departures. However, the effect of re-scaling the self-infection rate could also be obtained by increasing the recovery rate, why further analysis is needed in order to determine which parameter should be modified to what extent.
Lastly, results also indicate that the model may be used for estimating the impact on certain delay preventive measures by manually changing parameters for chosen stations or railway lines. This is valuable as it may give stakeholders a way of prioritizing projects and resources. (Less)
Please use this url to cite or link to this publication:
author
Landelius, Jacob and Wallgren, Elsa
supervisor
organization
year
type
H3 - Professional qualifications (4 Years - )
subject
report number
TFRT-6137
other publication id
0280-5316
language
English
id
9058326
date added to LUP
2021-07-15 14:49:18
date last changed
2021-07-15 14:49:18
@misc{9058326,
  abstract     = {{Travel on railway in Sweden has increased steadily over the past three decades and there are today twice as many passengers travelling by train as there were 30 years ago. The increasing awareness of environmental issues with other methods of transportation is likely to favour railway travel, and so the number of passengers is expected to continue to rise. As the number of passengers increase, so do the requirements on keeping trains on time. Delayed trains do not only cost money for train operators, but may also affect how likely we are to choose to travel by train. Understanding where and why delay occurs as well as how this delay might spread is therefore important not only from an economic point of view but from an environmental one as well.
 This thesis shows that behaviour of delay occurrence and propagation of delay in the Swedish railway network may be reproduced using an epidemic Susceptible-Infected-Susceptible (SIS) model with satisfying results. By optimizing the probability of a train carrying infection (delay) from an infected station to a susceptible one, the simulation can reproduce the level of delay over time as well as the geographic distribution of delay, thus capturing global as well as local delay behavior. The thesis further shows the necessity of heterogeneous delay propagation probabilities on edges in the network in order to reproduce real-world behavior.
 Furthermore, the results indicate that re-scaling the nodal self-infection rate (spontaneous delay rate) improves the model and is needed when changing the number of delayed departures needed to make an infected state, i.e. marking a station as delayed. Simulations indicate that this nodal self-infection cannot be expressed using a linear function but varies non-linearly with the number of delayed departures. One explanation for this would be the possible dependence between self-infection rates on trains, which could be explained by the fact that some external factors giving rise to spontaneous delay might affect entire stations rather than individual departures. However, the effect of re-scaling the self-infection rate could also be obtained by increasing the recovery rate, why further analysis is needed in order to determine which parameter should be modified to what extent.
 Lastly, results also indicate that the model may be used for estimating the impact on certain delay preventive measures by manually changing parameters for chosen stations or railway lines. This is valuable as it may give stakeholders a way of prioritizing projects and resources.}},
  author       = {{Landelius, Jacob and Wallgren, Elsa}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{Network analysis of delay propagation on Swedish railways}},
  year         = {{2021}},
}