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Solution of preemptive multi-objective network design problems applying Benders decomposition method

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  • Ashkan Fakhri
  • Mehdi Ghatee

Abstract

This paper deals with preemptive priority based multi-objective network design problems in which construction times together with travel costs are taken into account. These cost and time objective functions are ordered lexicographically with respect to manager’s strategies in order to decrease total cost and total construction time of the network. To solve this preemptive problem, instead of the standard sequential approach, a modified Benders decomposition algorithm is developed. It is proved that this algorithm decreases the (expected) number of computations and so this algorithm is efficient for large-scale network design problems. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Ashkan Fakhri & Mehdi Ghatee, 2013. "Solution of preemptive multi-objective network design problems applying Benders decomposition method," Annals of Operations Research, Springer, vol. 210(1), pages 295-307, November.
    • Handle: RePEc:spr:annopr:v:210:y:2013:i:1:p:295-307:10.1007/s10479-013-1353-0
    DOI: 10.1007/s10479-013-1353-0
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    References listed on IDEAS

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    1. Wu, Peiling & Hartman, Joseph C. & Wilson, George R., 2003. "A demand-shifting feasibility algorithm for Benders decomposition," European Journal of Operational Research, Elsevier, vol. 148(3), pages 570-583, August.
    2. Eduardo Muñoz & Mathias Stolpe, 2011. "Generalized Benders’ Decomposition for topology optimization problems," Journal of Global Optimization, Springer, vol. 51(1), pages 149-183, September.
    3. Alves, Maria Joao & Climaco, Joao, 2007. "A review of interactive methods for multiobjective integer and mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 99-115, July.
    4. Poojari, C.A. & Beasley, J.E., 2009. "Improving benders decomposition using a genetic algorithm," European Journal of Operational Research, Elsevier, vol. 199(1), pages 89-97, November.
    5. Sridhar, Varadharajan & Park, June S., 2000. "Benders-and-cut algorithm for fixed-charge capacitated network design problem," European Journal of Operational Research, Elsevier, vol. 125(3), pages 622-632, September.
    6. Bektaş, Tolga, 2012. "Formulations and Benders decomposition algorithms for multidepot salesmen problems with load balancing," European Journal of Operational Research, Elsevier, vol. 216(1), pages 83-93.
    7. Sherali, Hanif D., 1982. "Equivalent weights for lexicographic multi-objective programs: Characterizations and computations," European Journal of Operational Research, Elsevier, vol. 11(4), pages 367-379, December.
    8. Ángel Marín & Patricia Jaramillo, 2009. "Urban rapid transit network design: accelerated Benders decomposition," Annals of Operations Research, Springer, vol. 169(1), pages 35-53, July.
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