MIT1_258JS10_lec14

# MIT1_258JS10_lec14 - Performance of a Single Route Outline...

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Performance of a Single Route Outline 1. Wait time models 2. Service variation along route 3. Running time models John Attanucci 1.258J/11.541J/ESD.226J Spring 2010, Lecture 14 1

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Wait Time Models Simple deterministic model: E(w) = E(h)/2 where E(w) = expected waiting time E(h) = expected headway Model assumptions: passenger arrival times are independent of vehicle departure times vehicles depart deterministically at equal intervals every passenger can board the first vehicle to arrive John Attanucci 1.258J/11.541J/ESD.226J Spring 2010, Lecture 14 2
Passenger Arrival Process Individual, group, and bulk passenger arrivals Passengers can be classified in terms of arrival process: random arrivals time arrival to minimize E(w) arrive with the vehicle, i.e. have w = 0 John Attanucci 1.258J/11.541J/ESD.226J Spring 2010, Lecture 14 3

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5 Passenger Arrival Process (cont’d) For long headway service have “schedule delay” as well as wait time Obs. E(w) = E(h)/2 E(w) 10 10 20 30 E(h) John Attanucci 1.258J/11.541J/ESD.226J Spring 2010, Lecture 14 4
Vehicle Departure Process Vehicle departures typically not regular and deterministic Wait Time Model refinement: If: n(h) = # of passengers arriving in a headway h w ( h ) = mean waiting time for passengers arriving in headway

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MIT1_258JS10_lec14 - Performance of a Single Route Outline...

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