A Cutting-Plane Algorithm for Multicommodity Capacitated Fixed-Charge Network Design

نویسندگان

  • Mervat Chouman
  • Teodor Gabriel Crainic
  • Bernard Gendron
چکیده

We improve the mixed-integer programming formulation of the multicommodity capacitated fixed-charge network design problem by incorporating valid inequalities into a cutting-plane algorithm. We use five classes of valid inequalities: the strong, cover, minimum cardinality, flow cover, and flow pack inequalities, the last four being expressed in terms of cutsets of the network. We develop efficient separation and lifting procedures for these classes of inequalities. We present computational results on a large set of instances of various characteristics, allowing us to measure the impact of the different classes of valid inequalities on the quality of the lower bounds.

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تاریخ انتشار 2009