Impulse control maximum principle: Theory and applications

M. Chahim

Research output: ThesisDoctoral ThesisScientific

248 Downloads (Pure)

Abstract

The contribution of this paper is threefold. First, this thesis extends the existing theory on Impulse Control by deriving the necessary optimality conditions in current value formulation and provide a transformation such that the Impulse Control Maximum Principle can be applied to problems having a fixed cost. Moreover, this thesis points out that meaningful problems do not satisfy the sufficiency conditions. Second, in this thesis the Impulse Control Maximum Principle is applied to dike height optimization, forest management and product innovation. Third, this thesis describes several algorithms that can be used to solve Impulse Control problems
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Tilburg University
Supervisors/Advisors
  • Hartl, R.F., Promotor, External person
  • den Hertog, Dick, Promotor
  • Kort, Peter, Promotor
Award date27 Feb 2013
Place of PublicationTilburg
Publisher
Print ISBNs9789056683443
Publication statusPublished - 2013

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Maximum principle
Levees
Forestry
Innovation
Costs

Cite this

Chahim, M. (2013). Impulse control maximum principle: Theory and applications. Tilburg: CentER, Center for Economic Research.
Chahim, M.. / Impulse control maximum principle : Theory and applications. Tilburg : CentER, Center for Economic Research, 2013. 162 p.
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Chahim, M 2013, 'Impulse control maximum principle: Theory and applications', Doctor of Philosophy, Tilburg University, Tilburg.

Impulse control maximum principle : Theory and applications. / Chahim, M.

Tilburg : CentER, Center for Economic Research, 2013. 162 p.

Research output: ThesisDoctoral ThesisScientific

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AB - The contribution of this paper is threefold. First, this thesis extends the existing theory on Impulse Control by deriving the necessary optimality conditions in current value formulation and provide a transformation such that the Impulse Control Maximum Principle can be applied to problems having a fixed cost. Moreover, this thesis points out that meaningful problems do not satisfy the sufficiency conditions. Second, in this thesis the Impulse Control Maximum Principle is applied to dike height optimization, forest management and product innovation. Third, this thesis describes several algorithms that can be used to solve Impulse Control problems

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Chahim M. Impulse control maximum principle: Theory and applications. Tilburg: CentER, Center for Economic Research, 2013. 162 p. (CentER Dissertation Series).