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A generalized shortest path tour problem with time windows

Author

Listed:
  • L. Di Puglia Pugliese

    (Consiglio Nazionale delle Ricerche)

  • D. Ferone

    (University of Calabria)

  • P. Festa

    (University of Napoli Federico II)

  • F. Guerriero

    (University of Calabria)

Abstract

This paper studies a generalization of the shortest path tour problem with time windows (GSPTPTW). The aim is to find a single-origin single-destination shortest path, which has to pass through an ordered sequence of not necessarily disjoint node-subsets. Each node has a time window for each node-subset to which it belongs. We investigate the theoretical properties of GSPTPTW and propose a dynamic programming approach to solve it. Numerical results collected on a large set of new benchmark instances highlight the effectiveness of the proposed solution approach.

Suggested Citation

  • L. Di Puglia Pugliese & D. Ferone & P. Festa & F. Guerriero, 2022. "A generalized shortest path tour problem with time windows," Computational Optimization and Applications, Springer, vol. 83(2), pages 593-614, November.
    • Handle: RePEc:spr:coopap:v:83:y:2022:i:2:d:10.1007_s10589-022-00405-8
    DOI: 10.1007/s10589-022-00405-8
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    References listed on IDEAS

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    1. L Moccia & J-F Cordeau & G Laporte, 2012. "An incremental tabu search heuristic for the generalized vehicle routing problem with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(2), pages 232-244, February.
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    5. Festa, P. & Guerriero, F. & Laganà, D. & Musmanno, R., 2013. "Solving the shortest path tour problem," European Journal of Operational Research, Elsevier, vol. 230(3), pages 464-474.
    6. Di Puglia Pugliese, Luigi & Ferone, Daniele & Festa, Paola & Guerriero, Francesca, 2020. "Shortest path tour problem with time windows," European Journal of Operational Research, Elsevier, vol. 282(1), pages 334-344.
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