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Robust vertex centdian facility location problem on tree networks

Author

Listed:
  • Soudabeh Seyyedi Ghomi

    (Sahand University of Technology)

  • Fahimeh Baroughi

    (Sahand University of Technology)

Abstract

This paper studies the robust vertex centdian location problem on tree networks with interval edge lengths. To obtain a robust solution, we use the minmax regret criterion. First, we obtain atmost n worst case scenario for each pair of vertices on tree networks. Then we reduce this number to $$ \log n $$ log n . Finally, the total time for obtaining a robust solution is equal to $$ O(n^{4}) $$ O ( n 4 ) . This time is reduced to $$ O(n^{3}\log n) $$ O ( n 3 log n ) by using the property of binary search tree and weighted centroid.

Suggested Citation

  • Soudabeh Seyyedi Ghomi & Fahimeh Baroughi, 2024. "Robust vertex centdian facility location problem on tree networks," Annals of Operations Research, Springer, vol. 341(2), pages 1135-1149, October.
    • Handle: RePEc:spr:annopr:v:341:y:2024:i:2:d:10.1007_s10479-024-06096-0
    DOI: 10.1007/s10479-024-06096-0
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