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Optimising Waiting at Nodes in Time-Dependent Networks: Cost Functions and Applications

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  • Antonio Polimeni

    (Università degli Studi di Reggio Calabria, DIMET)

  • Antonino Vitetta

    (Università degli Studi di Reggio Calabria, DIMET)

Abstract

In this paper, the relationship between waiting at nodes and the path cost in a transport network is analysed. An exact solution algorithm for generating the shortest path with optimal waiting at the nodes is proposed. The general case is examined, considering a time-dependent network (time influences the cost). To develop a full application, the algorithm is applied in the case of a vehicle routing problem on a real network.

Suggested Citation

  • Antonio Polimeni & Antonino Vitetta, 2013. "Optimising Waiting at Nodes in Time-Dependent Networks: Cost Functions and Applications," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 805-818, March.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:3:d:10.1007_s10957-012-0121-7
    DOI: 10.1007/s10957-012-0121-7
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    References listed on IDEAS

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    Cited by:

    1. Xiaoge Zhang & Qing Wang & Andrew Adamatzky & Felix T. S. Chan & Sankaran Mahadevan & Yong Deng, 2014. "A Biologically Inspired Optimization Algorithm for Solving Fuzzy Shortest Path Problems with Mixed Fuzzy Arc Lengths," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 1049-1056, December.

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