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

An Interactive Multiple-Objective Linear Programming Approach to a Problem in Forest Management 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Operations Research INFORMS

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

Steuer, Ralph E.; Schuler, Albert T.
Operations Research , Volume 26 (2): 16 – Apr 1, 1978
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References (2)

Publisher
INFORMS
Copyright
Copyright © INFORMS
Subject
Research Article
ISSN
0030-364X
eISSN
1526-5463
DOI
10.1287/opre.26.2.254
Publisher site
See Article on Publisher Site

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.

Journal

Operations Research – INFORMS

Published: Apr 1, 1978

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