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Exact and heuristic...
Exact and heuristic algorithms for the Travelling Salesman Problem with Multiple Time Windows and Hotel Selection
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- Baltz, Andreas (författare)
- Christian-Albrechts Universität Kiel
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- El Ouali, Mourad (författare)
- Christian-Albrechts Universität Kiel
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- Jäger, Gerold (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Sauerland, Volkmar (författare)
- Christian-Albrechts Universität Kiel
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- Srivastav, Anand (författare)
- Christian-Albrechts Universität Kiel
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(creator_code:org_t)
- 2017-12-21
- 2015
- Engelska.
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Ingår i: Journal of the Operational Research Society. - : Informa UK Limited. - 0160-5682 .- 1476-9360. ; 66:4, s. 615-626
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We introduce and study the Travelling Salesman Problem with Multiple Time Windows and Hotel Selection (TSP-MTWHS), which generalises the well-known Travelling Salesman Problem with Time Windows and the recently introduced Travelling Salesman Problem with Hotel Selection. The TSP-MTWHS consists in determining a route for a salesman (eg, an employee of a services company) who visits various customers at different locations and different time windows. The salesman may require a several-day tour during which he may need to stay in hotels. The goal is to minimise the tour costs consisting of wage, hotel costs, travelling expenses and penalty fees for possibly omitted customers. We present a mixed integer linear programming (MILP) model for this practical problem and a heuristic combining cheapest insert, 2-OPT and randomised restarting. We show on random instances and on real world instances from industry that the MILP model can be solved to optimality in reasonable time with a standard MILP solver for several small instances. We also show that the heuristic gives the same solutions for most of the small instances, and is also fast, efficient and practical for large instances.
Ämnesord
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
- SAMHÄLLSVETENSKAP -- Ekonomi och näringsliv (hsv//swe)
- SOCIAL SCIENCES -- Economics and Business (hsv//eng)
Nyckelord
- Traveling Salesman Problem
- Branch-and-bound
- Branch-and-cut
- Heuristical methods
- Exact methods
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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