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Main Title: The Periodic Assignment Problem (PAP) May Be Solved Greedily
Author(s): Liebchen, Christian
Type: Research Paper
Abstract: Many public transportation companies operate their networks periodically. One major step in their planning process is to construct a periodic timetable for one abstract period, independently from times during the day. In this paper we show that we may evaluate a periodic timetable very quickly with the number of vehicles required to operate it. This is due to the fact that the Periodic Assignment Problem (PAP) can be solved by a greedy approach. It helps us, at least within a genetic algorithm, to cope with the quadratic objective function in the problem of finding a periodic timetable requiring as few vehicles as possible.
Subject(s): periodic assignments
periodic timetabling
vehicle scheduling in public transport
Issue Date: 2001
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 90C27 Combinatorial optimization
90B20 Traffic problems
90B80 Discrete location and assignment
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2001, 716
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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