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Titlebook: Optimal Control Theory; Applications to Mana Suresh P. Sethi Textbook 20193rd edition Springer Nature Switzerland AG 2019 Optimal Control T

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The Maximum Principle: Continuous Time,basic problem specified in Sect. .. Although vector notation is used, the reader can consider the problem as one with only a single state variable and a single control variable on the first reading. In Sect. ., the method of dynamic programming is used to derive the maximum principle. We use this me
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Applications to Production and Inventory,he lot size formula of Harris (.). The EOQ is essentially a static model in the sense that the demand is constant and only a stationary solution is sought. A dynamic version of the lot size model was analyzed by Wagner and Whitin (.). The solution methodology used there was dynamic programming.
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Applications to Marketing,problem of finding or characterizing the optimal advertising rate over time. Others deal with the problem of determining the optimal price and quality over time, in addition to or without advertising. The reader is referred to Sethi (.) and Feichtinger et al. (.) for comprehensive reviews on dynamic
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The Maximum Principle: Discrete Time,. ∈ [0, .]. This is particularly true when we wish to solve a large control theory problem by means of a computer. It is also desirable, even when solving small problems which have state or adjoint differential equations whose solutions cannot be expressed in closed form, to formulate them as discre
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Maintenance and Replacement,em in practice. The most typical example is the problem of optimal maintenance and replacement of a machine; see Rapp (.) and Pierskalla and Voelker (.). Other examples occur in forest management, such as in Näslund (.), Clark (.), and Heaps (.), and in advertising copy management, such as in Pekelm
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