Upgrading arcs to minimize the maximum travel time in a network

  • Authors:
  • Ann Melissa Campbell;Timothy J. Lowe;Li Zhang

  • Affiliations:
  • Department of Management Sciences, University of Iowa, Iowa City, Iowa 52242-1994;Department of Supply Chain and Information Systems, Pennsylvania State University, University Park, Pennsylvania 16802;Department of Mathematics and Computer Science, The Citadel, Charleston, South Carolina 29409

  • Venue:
  • Networks
  • Year:
  • 2006

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Abstract

In transportation and telecommunication systems, the performance of the underlying network can often be improved by upgrading some of the arcs in the network. If an arc is upgraded, the travel time along this arc is reduced by a discount factor α, 0 ≤ α q arcs in a network to upgrade. We show that these problems are NP-hard on general graphs, but polynomially solvable on trees. Finally, we compare three heuristic solution approaches for complete graphs based on these polynomial results and find one to far outperform the others. © 2006 Wiley Periodicals, Inc. NETWORKS, Vol. 47(2), 72–80 2006