A duality theory for infinite-horizon optimization of concave input/ouput processes

Joseph J.M. Evers

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    3 Citations (Scopus)


    A general concave ∞-horizon optimization model is analyzed with the help of a special convexity concept, which combines both the usual convexity and the dynamic structure. The axiomatic setup leads to a perfect symmetry between the primal and dual problems. After introducing a particular dynamic feasibility hypothesis, the following results are presented: (i) boundedness of trajectories as a necessary condition for optimally, (ii) the existence of primal and dual optimal trajectories, (iii) approximation by finite horizon models, and (iv) necessary and sufficient conditions for optimality.
    Original languageUndefined
    Pages (from-to)479-497
    JournalMathematics of operations research
    Issue number4
    Publication statusPublished - 1983


    • IR-98488
    • Dynamic convex optimization
    • infinite-horizon optimization
    • turnpike theory

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