Forward Cycle Bases and Periodic Timetabling

Please always quote using this URN: urn:nbn:de:0297-zib-82756
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  • Periodic timetable optimization problems in public transport can be modeled as mixed-integer linear programs by means of the Periodic Event Scheduling Problem (PESP). In order to keep the branch-and-bound tree small, minimum integral cycle bases have been proven successful. We examine forward cycle bases, where no cycle is allowed to contain a backward arc. After reviewing the theory of these bases, we describe the construction of an integral forward cycle basis on a line-based event-activity network. Adding turnarounds to the instance \texttt{R1L1} of the benchmark library PESPlib, we computationally evaluate three types of forward cycle bases in the Pareto sense, and come up with significant improvements concerning dual bounds.

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Author:Niels LindnerORCiD, Christian LiebchenORCiD, Berenike MasingORCiD
Document Type:ZIB-Report
Tag:Cycle Bases; Mixed Integer Programming; Periodic Timetabling
MSC-Classification:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING
CCS-Classification:G. Mathematics of Computing
J. Computer Applications
Date of first Publication:2021/07/03
Series (Serial Number):ZIB-Report (21-18)
ISSN:1438-0064