detected train conflicts Sofie Van Thielen* Pieter Vansteenwegen* - - PowerPoint PPT Presentation

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detected train conflicts Sofie Van Thielen* Pieter Vansteenwegen* - - PowerPoint PPT Presentation

Heuristic for solving detected train conflicts Sofie Van Thielen* Pieter Vansteenwegen* Francesco Corman *KU Leuven Leuven Mobility Research Centre (L-Mob) TU Delft Maritime and Transport Technology Department Introduction


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Heuristic for solving detected train conflicts

Sofie Van Thielen* Pieter Vansteenwegen* Francesco Corman°

*KU Leuven – Leuven Mobility Research Centre (L-Mob) °TU Delft – Maritime and Transport Technology Department

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Introduction

  • Motivation
  • Goal
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Motivation

  • Normal situation:
  • Conflict:

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Motivation

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  • In practice:

Real-time management is performed manually.

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Problem description

Given one (or more) conflicts, present different good solutions with the corresponding total delay.

In a tool that is directly accessible for the dispatchers.

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Simulation software

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Program

Infrastructure (XML format) Timetable (XML format) Simulation software Output

  • Delay scenarios
  • Conflict prevention techniques
  • Goal function

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Characteristics simulation

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  • 1-hour window: 6-7 AM
  • ± 150 trains
  • Delay scenarios
  • Study area
  • Evaluation criteria
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Study area

  • Brugge-Gent-Denderleeuw (in Belgium)

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Denderleeuw Brugge Gent Oostende

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Evaluation criteria

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  • Total/maximal/average train delay
  • Total/maximal/average passenger delay
  • Total/maximal/average exit delay
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Heuristic

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Rerouting

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  • Limited to station areas:
  • Minimize passenger delays or secondary delays
  • Optimization problem solved using Cplex
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Optimization model for rerouting

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Optimization model for rerouting

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Optimization model for rerouting

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Optimization model for rerouting

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If the conflict still exists after rerouting, then rescheduling is performed. Decision is based on heuristic:

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Conflict prevention technique

  • Minimize the effect of conflicts
  • Investigate the progress during the next hour
  • Choose option with least total secondary delay
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Conflict A - B 1st train A then train B 1st train B then train A Total secondary delay of A Total secondary delay of B, given initial delay Total secondary delay of B from A Total secondary delay of B Total secondary delay of A, given initial delay Total secondary delay of B from A

Heuristic

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Results

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Preliminary results

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Strategy Average secondary delay Maximal secondary delay FCFS – rerouting 45,26 3022 FCFS – passenger rerouting 45,37 3022 FCFS – no rerouting 48,03 3022 Heuristic – rerouting 34,38 3017 Heuristic – passenger rerouting 47,01 3017 Heuristic – no rerouting 43,13 3017

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Average computation time (in s)

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Strategy Simulation FCFS – rerouting 242,82 FCFS – passenger rerouting 250,29 FCFS – no rerouting 260,56 Heuristic – rerouting 515,52 Heuristic – passenger rerouting 523,70 Heuristic – no rerouting 537,25

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Conclusion & further work

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Conclusion & further work

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  • Improve heuristic and rerouting procedure
  • Optimize the number of rerouting optimizations
  • Examine differences with second or third order

propagations in heuristic what is the impact? is it possible to limit search area and create a “impact zone”?

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Heuristic for solving detected train conflicts

Sofie Van Thielen* Pieter Vansteenwegen* Francesco Corman°

*KU Leuven – Leuven Mobility Research Centre (L-Mob) °TU Delft – Maritime and Transport Technology Department