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Trajectory Stability in the Traveling Salesman Problem

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  • Sergio Sánchez
  • Germinal Cocho
  • Jorge Flores
  • Carlos Gershenson
  • Gerardo Iñiguez
  • Carlos Pineda

Abstract

Two generalizations of the traveling salesman problem in which sites change their position in time are presented. The way the rank of different trajectory lengths changes in time is studied using the rank diversity. We analyze the statistical properties of rank distributions and rank dynamics and give evidence that the shortest and longest trajectories are more predictable and robust to change, that is, more stable.

Suggested Citation

  • Sergio Sánchez & Germinal Cocho & Jorge Flores & Carlos Gershenson & Gerardo Iñiguez & Carlos Pineda, 2018. "Trajectory Stability in the Traveling Salesman Problem," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    • Handle: RePEc:hin:complx:2826082
    DOI: 10.1155/2018/2826082
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    References listed on IDEAS

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    1. Germinal Cocho & Jorge Flores & Carlos Gershenson & Carlos Pineda & Sergio Sánchez, 2015. "Rank Diversity of Languages: Generic Behavior in Computational Linguistics," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-12, April.
    2. Chryssi Malandraki & Mark S. Daskin, 1992. "Time Dependent Vehicle Routing Problems: Formulations, Properties and Heuristic Algorithms," Transportation Science, INFORMS, vol. 26(3), pages 185-200, August.
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