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The windy rural postman problem with a time-dependent zigzag option

  • In this research, we focus on the windy rural postman problem with the additional option to zigzag street segments during certain times of the day. If a street is narrow or traffic is light, it is possible (and often desirable) to service both sides of the street in a single pass by zigzagging. However, if a street is wide or traffic is heavy, we must service the street by two single traversals. For some streets, we further impose the restriction that they may only be zigzagged at specific times of the day, e.g., in the early morning when there is virtually no traffic. Real-life applications arise, among others, in trash collection and newspaper delivery. This specific arc routing problem combines two classes of problems known from the literature, arc routing problems with zigzag options and arc routing problems with time dependencies. We present and discuss two (mixed) integer programming formulations for the problem at hand and suggest exact solution approaches. Furthermore, we analyze the effects of zigzag and time window options on the objective function value and test our solution approaches on real-world instances.

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Metadaten
Document Type:Article
Language:English
Author:Jenny Nossack, Erwin Pesch, Bruce Golden, Rui Zhang
Center:Center for Advanced Studies in Management (CASiM)
DOI:https://doi.org/10.1016/j.ejor.2016.09.010
Parent Title (English):European Journal of Operational Research
ISSN:0377-2217
Volume:258
Issue:3
Year of Completion:2017
First Page:1131
Last Page:1142
Tag:Routing; Time window; Windy rural postman problem
Content Focus:Academic Audience
Peer Reviewed:Yes
Rankings:VHB Ranking / A
SJR Ranking / Q1
Sustainable Development Goals:Decent work and economic growth
Licence (German):License LogoUrheberrechtlich geschützt