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Explicit Solution for a Class of Allocation Problems

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Multicriteria Decision Making

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 211))

Abstract

In this paper, we deal with the classical allocation problem of optimizing the function

under the following constraints

that can be solved by applying the dynamic programming algorithm 1. Under particular assumptions on fi(xi), the explicit solution can be obtained for the problem above 2.

Partially supported by the C.N.R. Research Group of Functional Analysis and Applications.

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References

  1. Bellman, R., Dynamic Programming, Princeton University Press, 1967.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Venice, Italy

    Giovanni Castellani

Authors
  1. Giovanni Castellani
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Editor information

Editors and Affiliations

  1. University of California, Berkeley, USA

    G. Leitmann

  2. University of Trieste, Italy

    A. Marzollo

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© 1975 Springer-Verlag Wien

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Castellani, G. (1975). Explicit Solution for a Class of Allocation Problems. In: Leitmann, G., Marzollo, A. (eds) Multicriteria Decision Making. International Centre for Mechanical Sciences, vol 211. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2438-3_8

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  • DOI: https://doi.org/10.1007/978-3-7091-2438-3_8

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81340-9

  • Online ISBN: 978-3-7091-2438-3

  • eBook Packages: Springer Book Archive

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