English

Trajectory stability in the traveling salesman problem

Adaptation and Self-Organizing Systems 2018-07-30 v1

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.

Cite

@article{arxiv.1708.06945,
  title  = {Trajectory stability in the traveling salesman problem},
  author = {Sergio Sánchez and Germinal Cocho and Jorge Flores and Carlos Gershenson and Gerardo Iñiguez and Carlos Pineda},
  journal= {arXiv preprint arXiv:1708.06945},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-22T21:21:34.612Z