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Application of control theory to population policy

  • Applications Of Control Theory
  • Conference paper
  • First Online:
New Trends in Systems Analysis

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 2))

Abstract

Population policy for a single nation is considered as an optimal control problem. It is studied how the population of a country like The Netherlands could be reduced from its present size and age distribution to a prescribed, stationary size and age distribution in the shortest time possible. The control variable is the annual number of live births. Two constraints are taken into account: a socio-psychological constraint consisting of a (time-dependent) lower bound on fertility, and an economic constraint in the form of an upper bound on the demographic burden. The possible effects of emigration are also studied. The problem is solved by linear programming. Numerical results that apply to The Netherlands are shown and extensively discussed.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics, Twente University of Technology, Enschede, The Netherlands

    Huibert Kwakernaak

Authors
  1. Huibert Kwakernaak
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Editor information

A. Bensoussan J. L. Lions

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© 1977 Springer-Verlag

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Kwakernaak, H. (1977). Application of control theory to population policy. In: Bensoussan, A., Lions, J.L. (eds) New Trends in Systems Analysis. Lecture Notes in Control and Information Sciences, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041123

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  • DOI: https://doi.org/10.1007/BFb0041123

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08406-8

  • Online ISBN: 978-3-540-37193-9

  • eBook Packages: Springer Book Archive

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