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Titlebook: Inventory-Production Theory; A Linear Policy Appr Christoph A. Schneeweiß Book 1977 Springer-Verlag Berlin Heidelberg 1977 Lagerhaltung.Lin

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Summary and Concluding Remarks,dynamic certainty equivalence total stochastics of the additive inviroment (sequence of demand) can be reduced to conditional mean forecasts without any loss of optimality. This property has been exploited by Holt et. al. in their work on production smoothing and work-force planning.
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0075-8442 dels and pure inventory models. We shall here mainly be concerned with stochastic dynamic problems and shall give exact definitions in the next section. Most of our work will concentrate on cash balance models. However, production smoothing situations and pure inventory problems will also be investi
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The Linear Non-Quadratic Model,icting admissible production policies to be linear has as an important advantage that many results of the quadratic theory still hold; in particular its property of allowing for the existence of dynamic certainty equivalents*.. The crucial linearity assumption will be studied in detail in later chapters.
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Comparison with Optimal Dynamic Programming Solutions, detail. I.e. we shall compare the linear approach with the exact solution which will be derived by a dynamic programming procedure. We refer to the models stated in Chap. 1 and Sec. 3.1. For easier reference let us state completely the model we will be concerned with in this Chapter.
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The Linear Non-Quadratic Model,model defined in Chap.1. For this model we now give optimal solutions within the class of . production policies. As will be shown in the sequel, restricting admissible production policies to be linear has as an important advantage that many results of the quadratic theory still hold; in particular i
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Comparison with Optimal Dynamic Programming Solutions,know, is suboptimal because of the linearity assumption (3.2). It will now be our main concern to study the effects of this crucial assumption in some detail. I.e. we shall compare the linear approach with the exact solution which will be derived by a dynamic programming procedure. We refer to the m
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