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A single-level mixed integer linear formulation for a bi-level discrete network design problem

  • Farvaresh, Hamid
  • Sepehri, Mohammad Mehdi
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    Discrete network design problem (DNDP) is generally formulated as a bi-level programming. In this paper, a single-level mixed integer linear programming (SL-MILP) formulation for bi-level DNDP is presented. To cope with the dependency of node-link adjacency matrix on new links, travel time function is appropriately modified. The nonlinearity of the travel time function is also removed by means of a convex-combination based linear approximation which takes advantage of a unimodular structure. Two valid inequalities is developed which shorten computation time significantly. The validity of the proposed formulation is examined by two test problems. SL-MILP is able to provide optimal solution.

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    Article provided by Elsevier in its journal Transportation Research Part E: Logistics and Transportation Review.

    Volume (Year): 47 (2011)
    Issue (Month): 5 (September)
    Pages: 623-640

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    Handle: RePEc:eee:transe:v:47:y:2011:i:5:p:623-640
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