Results from a parallel branch and bound algorithm for the asymmetric traveling salesman problem

  • Authors:
  • D. L. Miller;J. F. Pekny

  • Affiliations:
  • Engineering Design Research Center, Carnegie Mellon University, Pittsburgh, PA 15213, USA;Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1989

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Abstract

Computational results are presented for a parallel branch and bound algorithm that optimally solves the asymmetric traveling salesman problem. The algorithm uses an assignment problem based lower bounding technique, subtour elimination branching rules, and a subtour patching algorithm as an upper bounding procedure. Results are presented for randomly generated problems with sizes ranging from 50 to 3000 cities.