lec13 - Outline Real Time Control Strategies for Rail...

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10 December 2003 1.224J/ESD.204J 1 Lecture 13 Outline • Real Time Control Strategies for Rail Transit Prior Research Shen/Wilson Model Formulation Model Application and Results Implementation Issues Conclusions • Follow-on Subjects • Final Exam
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10 December 2003 1.224J/ESD.204J 2 Lecture 13 Prior Research O’Dell and Wilson (1999): • Formulated and solved to optimality holding and (restricted) short-turning models • Active control strategies resulted in significant passenger wait time savings • Train impact set need not be large and can be restricted to trains ahead of the blockage • Hold-at-first station strategy is recommended • Short-turning is most effective where: -- blockage is long relative to short-turn time -- number of stations outside short-turn loop is small • Solution time is typically 30 seconds or less
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10 December 2003 1.224J/ESD.204J 3 Lecture 13 Prior Research Limitations: • only specified short-turns included in solution • expressing not included • objective function ignored in-vehicle delay time • did not recognize the stochastic nature of disruption duration
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10 December 2003 1.224J/ESD.204J 4 Lecture 13 Model Formulation Key Features: station specific parameters: passenger arrival rates, alighting fractions, minimum safe headways station dwell time a linear function of passengers boarding, alighting and crowding train order is variable train capacity constraint Simplifications: predictable disruption length passenger flows estimated from historical data system is modelled as deterministic strategies selected to produce minimum inter-station travel times.
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10 December 2003 1.224J/ESD.204J 5 Lecture 13 Shen/Wilson Model Formulation* Decision variables: departure time of train i from station k
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lec13 - Outline Real Time Control Strategies for Rail...

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