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The Holding Problem at Multiple Holding Stations

Aichong Sun () and Mark Hickman ()
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Aichong Sun: Pima Association of Governments
Mark Hickman: University of Arizona

A chapter in Computer-aided Systems in Public Transport, 2008, pp 339-359 from Springer

Abstract: Abstract Inherent stochasticity within the transit operating environment suggests there may be benefits of holding vehicles at more than one holding station on a route. In this paper, the holding problem at multiple holding stations considers holding vehicles at a given subset of stations on the route. By approximating the vehicle dwell time as the passenger boarding time, the holding problem at multiple holding stations can be modeled as a convex quadratic programming problem, with the objective function as a convex quadratic function subject to many linear constraints. This particular problem can be solved by a heuristic that decomposes the overall problem into sub-problems which can be solved to optimality. Also, a hypothetical numerical example is presented to illustrate the effectiveness of the problem formulation and heuristic.

Keywords: Holding Station; Transit Service; Transportation Research Record; Multiple Vehicle; Vehicle Trajectory (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-73312-6_17

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DOI: 10.1007/978-3-540-73312-6_17

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