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An Interactive Multiple-Objective Linear Programming Approach to a Problem in Forest Management

Author

Listed:
  • Ralph E. Steuer

    (University of Kentucky, Lexington, Kentucky)

  • Albert T. Schuler

    (U. S. Department of Agriculture, Princeton, West Virginia)

Abstract

In many situations it is under legislative mandate to manage publicly owned forest resources for multiple uses (e.g., timber production, hunting, grazing). The major obstacle that has been encountered in applying previously developed mathematical programming procedures to multiple-use forest management has been the difficulty in assessing the appropriate criterion weights required. To avoid the criterion weight estimation problem, an interactive multiple-objective linear programming approach, which does not require criterion weights of any kind, was developed in response to the needs of the multiple-use forest management problem. The procedure uses a combination of linear programming and vector-maximum techniques. At each iteration the cone generated by the gradients of the multiple objectives is contracted. On the last two iterations the most acceptable efficient extreme point is identified with the aid of a filtering device. As illustrated, the method has been applied to prepare preliminary management plans for a 10,000-acre sub-unit of a national forest.

Suggested Citation

  • Ralph E. Steuer & Albert T. Schuler, 1978. "An Interactive Multiple-Objective Linear Programming Approach to a Problem in Forest Management," Operations Research, INFORMS, vol. 26(2), pages 254-269, April.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:2:p:254-269
    DOI: 10.1287/opre.26.2.254
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    Citations

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    Cited by:

    1. Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
    2. León, Mª A. & Caballero, R. & Gómez, T & Molina, J, 2003. "Modelización de problemas de ordenación forestal con múltiples criterios. Una aplicación a la economía forestal cubana," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 21, pages 339-360, Agosto.
    3. Sinha, Ankur & Rämö, Janne & Malo, Pekka & Kallio, Markku & Tahvonen, Olli, 2017. "Optimal management of naturally regenerating uneven-aged forests," European Journal of Operational Research, Elsevier, vol. 256(3), pages 886-900.
    4. Hernandez, M. & Gómez, T. & Molina, J. & León, M.A. & Caballero, R., 2014. "Efficiency in forest management: A multiobjective harvest scheduling model," Journal of Forest Economics, Elsevier, vol. 20(3), pages 236-251.
    5. Sugimura, Ken & Howard, Theodore E., 2008. "Incorporating social factors to improve the Japanese forest zoning process," Forest Policy and Economics, Elsevier, vol. 10(3), pages 161-173, January.
    6. Bagdon, Benjamin A. & Huang, Ching-Hsun & Dewhurst, Stephen, 2016. "Managing for ecosystem services in northern Arizona ponderosa pine forests using a novel simulation-to-optimization methodology," Ecological Modelling, Elsevier, vol. 324(C), pages 11-27.
    7. C Price, 1980. "Resolution and Resolvability in Resource Use Conflicts: The National Park Example," Environment and Planning A, , vol. 12(11), pages 1221-1233, November.
    8. Mitzi Montoya-Weiss & Roger J. Calantone, 1999. "Development and Implementation of a Segment Selection Procedure for Industrial Product Markets," Marketing Science, INFORMS, vol. 18(3), pages 373-395.

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