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The Covering Tour Problem

Author

Listed:
  • Michel Gendreau

    (Université de Montréal, Montréal, Canada)

  • Gilbert Laporte

    (Université de Montréal, Montréal, Canada)

  • Frédéric Semet

    (Université de Montréal, Montréal, Canada)

Abstract

The Covering Tour Problem (CTP) is defined on a graph G = ( V ∪ W , E ), where W is a set of vertices that must be covered. The CTP consists of determining a minimum length Hamiltonian cycle on a subset of V such that every vertex of W is within a prespecified distance from the cycle. The problem is first formulated as an integer linear program, polyhedral properties of several classes of constraints are investigated, and an exact branch-and-cut algorithm is developed. A heuristic is also described. Extensive computational results are presented.

Suggested Citation

  • Michel Gendreau & Gilbert Laporte & Frédéric Semet, 1997. "The Covering Tour Problem," Operations Research, INFORMS, vol. 45(4), pages 568-576, August.
    • Handle: RePEc:inm:oropre:v:45:y:1997:i:4:p:568-576
    DOI: 10.1287/opre.45.4.568
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