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An Exact Algorithm for the Split-Demand One-Commodity Pickup-and-delivery Travelling Salesman Problem

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Combinatorial Optimization (ISCO 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10856))

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Abstract

This paper concerns the problem of designing a route of minimum cost for a capacitated vehicle moving a single commodity between a set of customers. The route must allow two characteristics uncommon in the literature. One characteristic is that a customer may be visited several times. The other characteristic is that a customer may be used as intermediate location to temporarily collect and deliver part of the load of the vehicle. Routes with these characteristics may lead to cost reductions when compared to routes without them. The paper describes a branch-and-cut algorithm based on a relaxation of a model of Mixed Integer Programming. Preliminary computational results on benchmark instances demonstrate the good performance of the algorithm compared with the original model.

This work has been partially supported by MTM2015-63680-R (MINECO/FEDER), ProID2017010132 (Gobierno Canarias) and 2016TUR11 (Fundación CajaCanarias).

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References

  1. Chemla, D., Meunier, F., Wolfler-Calvo, R.: Bike sharing systems: solving the static rebalancing problem. Discrete Optim. 10(2), 120–146 (2013)

    Article  MathSciNet  Google Scholar 

  2. Cruz, F., Bruck, B.P., Subramanian, A., Iori, M.: A heuristic algorithm for a single vehicle static bike sharing rebalancing problem. Comput. Oper. Res. 79, 19–33 (2017)

    Article  MathSciNet  Google Scholar 

  3. Erdogan, G., Battarra, M., Wolfler Calvo, R.: An exact algorithm for the static rebalancing problem arising in bicycle sharing systems. Eur. J. Oper. Res. 245, 667–679 (2015)

    Article  MathSciNet  Google Scholar 

  4. Hernández-Pérez, H., Salazar-González, J.-J.: The one-commodity pickup-and-delivery travelling salesman problem. In: Jünger, M., Reinelt, G., Rinaldi, G. (eds.) Combinatorial Optimization — Eureka, You Shrink!. LNCS, vol. 2570, pp. 89–104. Springer, Heidelberg (2003). https://doi.org/10.1007/3-540-36478-1_10

    Chapter  Google Scholar 

  5. Hernández-Pérez, H., Salazar-González, J.J.: A branch-and-cut algorithm for a traveling salesman problem with pickup and delivery. Disc. Appl. Math. 145, 126–139 (2004)

    Article  MathSciNet  Google Scholar 

  6. Hernández-Pérez, H., Salazar-González, J.J.: Heuristics for the one-commodity pickup-and-delivery traveling salesman problem. Transp. Sci. 38, 245–255 (2004)

    Article  Google Scholar 

  7. Hernández-Pérez, H., Salazar-González, J.J.: The one-commodity pickup-and-delivery traveling salesman problem: Inequalities and algorithms. Networks 50, 258–272 (2007)

    Article  MathSciNet  Google Scholar 

  8. Hernández-Pérez, H., Salazar-González, J.J., Santos-Hernández, B.: Heuristic algorithm for the split-demand one-commodity pickup-and-delivery travelling salesman problem. Comput. Oper. Res. 97, 1–17 (2018)

    Article  MathSciNet  Google Scholar 

  9. Salazar-González, J.J., Santos-Hernández, B.: The split-demand one-commodity pickup-and-delivery travelling salesman problem. Transp. Res. Part B Methodol. 75, 58–73 (2015)

    Article  Google Scholar 

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Correspondence to Juan José Salazar-González .

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Hernández-Pérez, H., Salazar-González, J.J. (2018). An Exact Algorithm for the Split-Demand One-Commodity Pickup-and-delivery Travelling Salesman Problem. In: Lee, J., Rinaldi, G., Mahjoub, A. (eds) Combinatorial Optimization. ISCO 2018. Lecture Notes in Computer Science(), vol 10856. Springer, Cham. https://doi.org/10.1007/978-3-319-96151-4_21

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  • DOI: https://doi.org/10.1007/978-3-319-96151-4_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-96150-7

  • Online ISBN: 978-3-319-96151-4

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