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The multiple travelling salesperson problem with hotel selection

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  • CASTRO, Marco
  • SÖRENSEN, Kenneth
  • GOOS, Peter
  • VANSTEENWEGEN, Pieter

Abstract

In this paper, the multiple travelling salesperson problem with hotel selection (m-TSPHS) is presented. This combinatorial optimisation problem is a generalisation of both the travelling salesperson problem with hotel selection (TSPHS) and the multiple travelling salesperson problem (m-TSP). As in the TSPHS, a tour is split into trips whose duration does not exceed a certain travel time, the objective of the m-TSPHS is to design a collection of tours, one for each available salesperson, while minimising the total travel costs. A set-partitioning formulation is presented as well as an efficient solution method together with a number of benchmark instances in order to evaluate the algorithm. Experimental results show that the proposed method is able to keep average gaps with respect to optimal solutions below 1:5%.

Suggested Citation

  • CASTRO, Marco & SÖRENSEN, Kenneth & GOOS, Peter & VANSTEENWEGEN, Pieter, 2014. "The multiple travelling salesperson problem with hotel selection," Working Papers 2014030, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2014030
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    References listed on IDEAS

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    1. Gabriel Bazi & John Khoury & F. Jordan Srour, 2017. "Integrating Data Collection Optimization into Pavement Management Systems," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 59(3), pages 135-146, June.
    2. Du, Jiaoman & Zhou, Jiandong & Li, Xiang & Li, Lei & Guo, Ao, 2021. "Integrated self-driving travel scheme planning," International Journal of Production Economics, Elsevier, vol. 232(C).

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