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Formulating Adjacency Constraints in Linear Optimization Models for Scheduling Projects in Tactical Planning

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Models for scheduling projects in tactical planning often must contain relationships that restrict activities on adjacent lands. Conventional formulations of these relationships require large numbers of constraints. Minimizing the number of constraints permits modeling larger areas when faced with software and hardware limitations on number of constraints. This paper presents an approach for efficiently formulating adjacency relationships in mixed-integer programming models. The approach typically results in one-half to one-quarter of the number of equations required by formulations used in the past. For. Sci. 37(5):1283-1297.

Keywords: Dispersion constraints; linear programming; site-specific optimization; site-specific planning

Document Type: Journal Article

Affiliations: Operations Research Analyst, Pacific Southwest Research Station, Forest Service, U.S. Department of Agriculture, 1960 Addison St., Berkeley, CA 94704

Publication date: 1991-11-01

More about this publication?
  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 2016 Impact Factor: 1.782 (Rank 17/64 in forestry)

    Average time from submission to first decision: 62.5 days*
    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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