A mathematical model for headway variance of fixed-route buses
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Tailored Wakeby-type distribution for random bus headway adherence ratio
2018, Transportation Research Part C: Emerging TechnologiesCitation Excerpt :Polus (1979) also validated the bd-Beta distribution using the bus headway data collected from several bus routes in Evanston, Illinois, a Chicago suburb, and concluded that the bd-Beta distribution with the calibrated parameters is able to formulate the random bus headway. Adebisi (1986) explicitly defined that the random bus headway at a specific bus stop of a bus route comprises the random bus travel time from the preceding bus stop to the bus top and random bus dwell time occurred in the preceding bus stop. He proposed an explicit formula to estimate variance of random bus headway for each bus stop based on the three unrealistic assumptions: (i) all the dispatching headways are the same (ii) the unit bus travel time between any two consecutive bus stops follows the same probability distribution (iii) passengers arriving at a bus stop follows a stationary Poisson process.
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