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Optimum Bus Scheduling

Franz J. M. Salzborn
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Franz J. M. Salzborn: Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia

Transportation Science, 1972, vol. 6, issue 2, 137-148

Abstract: The paper presents a mathematical investigation into bus scheduling. The passenger arrival rate is supposed to be given; the problem is to determine the bus departure rate as a function of time. The primary objective is to minimize the number of buses that is needed. A secondary criterion is the minimization of the passenger waiting time, for which a calculus of variation technique is used. Although the paper deals mainly with a single busroute, it is also shown how the theory can be extended to the case of a pair of linked busroutes. The practical implications are illustrated by an example. The fleetsize formula that is used here is thought to be applicable to many transportation systems.

Date: 1972
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