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Optimal Forest Fire Control: an Extension of Parks' Model

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In this paper we re-examine the problem of optimal forest fire suppression which was previously studied by Parks. The growth of the fire is modelled by a deterministic differential equation in which the level of the suppression forces appears as a control variable. After defining a suitable objective functional to represent the total cost of suppression forces used and the losses resulting from fire damages, we obtain an optimal control problem where the final time is unknown. Using results from control theory we find the optimal level of suppression forces as a nonconstant function of time. Forest Sci. 28:345-355.
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Keywords: State variable; minimum principle

Document Type: Journal Article

Affiliations: Professor, Department of Management Sciences, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

Publication date: 1982-06-01

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.

    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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