Inventory Replenishment Policy for Increasing Demand |
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Authors: | R. J. Henery |
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Affiliation: | 1.Department of Mathematics,University of Strathclyde,Glasgow,Scotland |
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Abstract: | The Donaldson model for inventory replenishment is investigated for a general class of increasing demands. In particular, it is shown that the system of reorder times is uniquely specified and well-behaved when the demand f(t) is log-concave, i.e. the derivative of log f(t) is a decreasing function of time. In addition, a numerical procedure is outlined which will produce the set of optimal times at which to re-order, provided the demand f(t) is of sufficiently simple form, for example a simple power law or exponential demand. |
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