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Habitat Dispersion in Forest Planning and the Stable Set Problem

Author

Listed:
  • Francisco Barahona

    (IBM T. J. Watson Research Center, Yorktown Heights, New York)

  • Andrés Weintraub

    (University of Chile, Santiago, Chile)

  • Rafael Epstein

    (University of Chile, Santiago, Chile)

Abstract

We present a model for forest planning with habitat dispersion constraints. The problem is reduced to a linear program that is solved by a column generation approach. Generating one column reduces to a stable set problem in a graph; this is solved with linear programming techniques based on a partial description of the stable set polytope. We report computational experience with medium sized problems.

Suggested Citation

  • Francisco Barahona & Andrés Weintraub & Rafael Epstein, 1992. "Habitat Dispersion in Forest Planning and the Stable Set Problem," Operations Research, INFORMS, vol. 40(1-supplem), pages 14-21, February.
    • Handle: RePEc:inm:oropre:v:40:y:1992:i:1-supplement-1:p:s14-s21
    DOI: 10.1287/opre.40.1.S14
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    Citations

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    Cited by:

    1. Murray, Alan T. & Church, Richard L., 1997. "Facets for node packing," European Journal of Operational Research, Elsevier, vol. 101(3), pages 598-608, September.
    2. Wu, Qinghua & Hao, Jin-Kao, 2015. "A review on algorithms for maximum clique problems," European Journal of Operational Research, Elsevier, vol. 242(3), pages 693-709.
    3. Andrés Weintraub & Carlos Romero, 2006. "Operations Research Models and the Management of Agricultural and Forestry Resources: A Review and Comparison," Interfaces, INFORMS, vol. 36(5), pages 446-457, October.
    4. Brumelle, Shelby & Granot, Daniel & Halme, Merja & Vertinsky, Ilan, 1998. "A tabu search algorithm for finding good forest harvest schedules satisfying green-up constraints," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 408-424, April.
    5. Marcos Goycoolea & Alan T. Murray & Francisco Barahona & Rafael Epstein & Andrés Weintraub, 2005. "Harvest Scheduling Subject to Maximum Area Restrictions: Exploring Exact Approaches," Operations Research, INFORMS, vol. 53(3), pages 490-500, June.
    6. Andres Weintraub P., 2007. "Integer programming in forestry," Annals of Operations Research, Springer, vol. 149(1), pages 209-216, February.
    7. Alexander Engau & Miguel Anjos & Immanuel Bomze, 2013. "Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(1), pages 35-59, August.
    8. Alan Murray & Hyun Kim, 2008. "Efficient identification of geographic restriction conditions in anti-covering location models using GIS," Letters in Spatial and Resource Sciences, Springer, vol. 1(2), pages 159-169, December.
    9. Dorit S. Hochbaum & Anu Pathria, 1998. "Analysis of the greedy approach in problems of maximum k‐coverage," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(6), pages 615-627, September.
    10. Nicolas Andalaft & Pablo Andalaft & Monique Guignard & Adrian Magendzo & Alexis Wainer & Andres Weintraub, 2003. "A Problem of Forest Harvesting and Road Building Solved Through Model Strengthening and Lagrangean Relaxation," Operations Research, INFORMS, vol. 51(4), pages 613-628, August.
    11. Martell, David L. & Gunn, Eldon A. & Weintraub, Andres, 1998. "Forest management challenges for operational researchers," European Journal of Operational Research, Elsevier, vol. 104(1), pages 1-17, January.

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