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Virginia Tech

Comparing linear programming and mixed integer programming formulations for forest planning on the Naval Surface Weapons Center, Dahlgren, Virginia

Abstract

dc:description.abstract

This research project examined the ability to combine spatial data analysis and mathematical programming techniques in developing a multiple-use land management plan for a public forest in northeastern Virginia. Linear programming-based timber management scheduling models were constructed utilizing the Model I formulation of Johnson and Scheurman (1977). The models were formulated as mixed strata-based, area-based models (Johnson and Stuart 1987) that maximized present net worth subject to a fixed timberland base, an ending inventory requirement, workload control restrictions, and harvest volume control restrictions. The linear programming-based models which incorporated spatial data analysis capabilities were solved using mixed-integer programming. The model was used to assess the costs of implementing spatial restrictions designed to address forest resource management concerns, in particular, timber production and reserve status acreage for wildlife habitat purposes. The impact of imposing alternative spatial stand allocation requirements and different levels of reserve status acreage was evaluated by measuring the cost in terms of reductions in the present net value (PNV) of timber benefits and timber harvest volumes. The results indicate that the optimal solution value is more sensitive to the level of reserve status acreage imposed on the model than to the spatial restrictions for stand allocations placed on the model.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Forest Management and Economics
Department dc:contributor.department
Forest Management and Economics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1993

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Cox, Eric Selde
Chair dc:contributor.committeechair
  • Sullivan, Jay
Committee members dc:contributor.committeemember
  • Smith, James L.
  • Taylor, Daniel B.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-11102009-020156
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/45609

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Cox, Eric Selde. Comparing linear programming and mixed integer programming formulations for forest planning on the Naval Surface Weapons Center, Dahlgren, Virginia. masters thesis, Virginia Tech, 1993. http://hdl.handle.net/10919/45609