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School of Industrial and Systems Engineering, Georgia Institute of Technology, 755 Ferst Drive, Atlanta, Georgia 30332-0205
We consider a spatial problem arising in forest harvesting. For regulatory reasons, blocks harvested should not exceed a certain total area, typically 49 hectares. Traditionally, this problem, called the adjacency problem, has been approached by forming a priori blocks from basic cells of 5 to 25 hectares and solving the resulting mixed-integer program. Superior solutions can be obtained by including the construction of blocks in the decision process. The resulting problem is far more complex combinatorially. We present an exact algorithmic approach that has yielded good results in computational tests. This solution approach is based on determining a strong formulation of the linear programming problem through a clique representation of a projected problem.
Department of Geography, Ohio State University, Columbus, Ohio 43210
IBM Watson Research Center, Yorktown Heights, New York 10598
Departamento de Ingeniería Industrial, Universidad de Chile, República 701, Santiago, Chile
Departamento de Ingeniería Industrial, Universidad de Chile, República 701, Santiago, Chile
mgoycool{at}isye.gatech.edu
murray.308{at}osu.edu
barahon{at}us.ibm.com
repstein{at}dii.uchile.cl
aweintraub{at}dii.uchile.cl
Subject classifications: integer programming; cutting planes; environment.
History: Received March 2002;
revision received December 2003;
accepted February 2004.
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