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Fast heuristics for the Steiner tree problem with revenues, budget and hop constraints

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  • Costa, Alysson M.
  • Cordeau, Jean-François
  • Laporte, Gilbert

Abstract

This article describes and compares three heuristics for a variant of the Steiner tree problem with revenues, which includes budget and hop constraints. First, a greedy method which obtains good approximations in short computational times is proposed. This initial solution is then improved by means of a destroy-and-repair method or a tabu search algorithm. Computational results compare the three methods in terms of accuracy and speed.

Suggested Citation

  • Costa, Alysson M. & Cordeau, Jean-François & Laporte, Gilbert, 2008. "Fast heuristics for the Steiner tree problem with revenues, budget and hop constraints," European Journal of Operational Research, Elsevier, vol. 190(1), pages 68-78, October.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:1:p:68-78
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    Cited by:

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    4. Fu, Zhang-Hua & Hao, Jin-Kao, 2014. "Breakout local search for the Steiner tree problem with revenue, budget and hop constraints," European Journal of Operational Research, Elsevier, vol. 232(1), pages 209-220.
    5. Zhang-Hua Fu & Jin-Kao Hao, 2015. "Dynamic Programming Driven Memetic Search for the Steiner Tree Problem with Revenues, Budget, and Hop Constraints," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 221-237, May.
    6. Balakrishnan, Anantaram & Banciu, Mihai & Glowacka, Karolina & Mirchandani, Prakash, 2013. "Hierarchical approach for survivable network design," European Journal of Operational Research, Elsevier, vol. 225(2), pages 223-235.
    7. Ivana Ljubić & Stefan Gollowitzer, 2013. "Layered Graph Approaches to the Hop Constrained Connected Facility Location Problem," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 256-270, May.

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