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The multi-stripe travelling salesman problem
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Çela, Eranda, Deineko, Vladimir G. and Woeginger, Gerhard J. (2017) The multi-stripe travelling salesman problem. Annals of Operations Research , 259 (1-2). pp. 21-34. doi:10.1007/s10479-017-2513-4 ISSN 0254-5330.
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Official URL: http://doi.org/10.1007/s10479-017-2513-4
Abstract
In the classical Travelling Salesman Problem (TSP), the objective function sums the costs for travelling from one city to the next city along the tour. In the q-stripe TSP with q ≥ 1, the objective function sums the costs for travelling from one city to each of the next q cities along the tour. The resulting q-stripe TSP generalizes the TSP and forms a special case of the quadratic assignment problem. We analyze the computational complexity of the q-stripe TSP for various classes of specially structured distance matrices. We derive NP-hardness results as well as polyomially solvable cases. One of our main results generalizes a well-known theorem of Kalmanson from the classical TSP to the q-stripe TSP.
| Item Type: | Journal Article | ||||||||
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| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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| Journal or Publication Title: | Annals of Operations Research | ||||||||
| Publisher: | Springer New York LLC | ||||||||
| ISSN: | 0254-5330 | ||||||||
| Official Date: | December 2017 | ||||||||
| Dates: |
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| Volume: | 259 | ||||||||
| Number: | 1-2 | ||||||||
| Page Range: | pp. 21-34 | ||||||||
| DOI: | 10.1007/s10479-017-2513-4 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 27 September 2016 | ||||||||
| Date of first compliant Open Access: | 11 October 2018 |
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