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We consider the problem of computing multiple headways for a single bus line to maximize the expected daily profit. The stochastic bus-line model assumes that (1) the passenger arrivals follow a Poisson process with possible reneging; (2) the number of alighting passengers at each stop follows a binomial distribution; and (3) the bus travel time follows a Weibull distribution. The objective function - the expected daily profit, defined as the ticket revenue minus the operating and customer waiting costs - is discontinuous at changes in the bus frequency. For this stochastic optimization problem, we propose a retrospective optimization algorithm that can handle both homogeneous and nonhomogeneous Poisson arrivals. Simulation results are discussed.
Simulation Symposium, 2002. Proceedings. 35th Annual
Date of Conference: 14-18 April 2002