New Heuristics and Lower Bounds for the Min-Max k -Chinese Postman Problem

  • Authors:
  • Dino Ahr;Gerhard Reinelt

  • Affiliations:
  • -;-

  • Venue:
  • ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
  • Year:
  • 2002

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Abstract

Given an undirected edge-weighted graph and a depot node, postman problems are generally concerned with traversing the edges of the graph (starting and ending at the depot node) while minimizing the distance traveled. For the Min-Max k-Chinese Postman Problem (MM k- CPP) we have k 1 postmen and want to minimize the longest of the k tours. We present two new heuristics and improvement procedures for the MM k-CPP. Furthermore, we give three new lower bounds in order to assess the quality of the heuristics. Extensive computational results show that our algorithms outperform the heuristic of Frederickson et al.