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The general solution of a classical stochastic inventory problem and its generalization

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Optimization and Operations Research

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 157))

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Abstract

We are studying the simple one-period one-item inventory model with linear demand. The model is determined by

  1. (i)

    the distribution function F of the random demand X for the whole period; we admit also negative demand, and X is assumed to have finite expectation;

  2. (ii)

    the holding cost rate c1ε(O,∞) and the shortage cost rate c2ε(O,∞).

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Reference

  1. Naddor, E.: Inventory Systems John Wiley & Sons, New York, 1966

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© 1978 Springer-Verlag Berlin Heidelberg

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Hinderer, K., Kadelka, D. (1978). The general solution of a classical stochastic inventory problem and its generalization. In: Henn, R., Korte, B., Oettli, W. (eds) Optimization and Operations Research. Lecture Notes in Economics and Mathematical Systems, vol 157. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95322-4_16

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  • DOI: https://doi.org/10.1007/978-3-642-95322-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08842-4

  • Online ISBN: 978-3-642-95322-4

  • eBook Packages: Springer Book Archive

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