An optimal control problem in forest management (Q1108246)
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scientific article; zbMATH DE number 4066739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimal control problem in forest management |
scientific article; zbMATH DE number 4066739 |
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An optimal control problem in forest management (English)
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1988
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A time-optimal control problem arising in forest stand management is presented. The paper refers to a nonlinear dynamic model, expressed in terms of diameter classes, of the growth of a Mediterranean forest stand. The problem is tackled by resorting to the Pontryagin maximum principle and is thus reduced to a two-point boundary value problem. The Hamiltonian being linear in the control, a singularity analysis is carried out which, taking into account the model structure, excludes the existence of singular extremals. A numerical example is finally presented.
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time-optimal control
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forest stand management
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nonlinear dynamic model
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Pontryagin maximum principle
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