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A mixed integer linear programming formulation of the maximum betweenness problem

Author

Listed:
  • Savic, Aleksandar
  • Kratica, Jozef
  • Milanovic, Marija
  • Dugosija, Djordje

Abstract

This paper considers the maximum betweenness problem. A new mixed integer linear programming (MILP) formulation is presented and validity of this formulation is given. Experimental results are performed on randomly generated instances from the literature. The results of CPLEX solver, based on the proposed MILP formulation, are compared with results obtained by total enumeration technique. The results show that CPLEX optimally solves instances of up to 30 elements and 60 triples in a short period of time.

Suggested Citation

  • Savic, Aleksandar & Kratica, Jozef & Milanovic, Marija & Dugosija, Djordje, 2010. "A mixed integer linear programming formulation of the maximum betweenness problem," European Journal of Operational Research, Elsevier, vol. 206(3), pages 522-527, November.
    • Handle: RePEc:eee:ejores:v:206:y:2010:i:3:p:522-527
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    References listed on IDEAS

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    1. Caumond, A. & Lacomme, P. & Moukrim, A. & Tchernev, N., 2009. "An MILP for scheduling problems in an FMS with one vehicle," European Journal of Operational Research, Elsevier, vol. 199(3), pages 706-722, December.
    2. Conde, Eduardo, 2009. "A minmax regret approach to the critical path method with task interval times," European Journal of Operational Research, Elsevier, vol. 197(1), pages 235-242, August.
    3. Hertz, Alain & Lahrichi, Nadia & Widmer, Marino, 2010. "A flexible MILP model for multiple-shift workforce planning under annualized hours," European Journal of Operational Research, Elsevier, vol. 200(3), pages 860-873, February.
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