Skip to main content

Part of the book series: Proceedings in Operations Research ((ORP,volume 1973))

  • 204 Accesses

Abstract

Population mathematics is concerned with formal demographic model building. Herein some optimization theory has been included recently. Some models in population dynamics provide an useful approach to manpower planning. The purpose of the following paper is to present flow models of hierarchical structures and to discuss ideas on demographic optimization, e.g. the sequential decision process of a couple living in sexual union and using contraception. A typical question of the first issue is the following: In what degree promotion within graded organisations depends on the growth of these organisations?

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literaturverzeichnis

  • ARTHUR,W.B., and G. McNICOLL (1971): Optimal population policy: a report on work in progress. Paper presented at the Fourth Conference on the Mathematics of Population, The East- West Center, Honolulu, Hawaii, July 28- August 1, 1971.

    Google Scholar 

  • ARTHUR,W.B. (1972): Population policy under an arbitrary welfare criterion: theory and issues. Working paper of the East- West Population Institute, Honolulu.

    Google Scholar 

  • BALINSKY,W., and A.REISMAN (1972): Some manpower planning models based on levels of educational attainment. Management Science 18, B, 691 - 705.

    Article  Google Scholar 

  • BARTHOLOMEW,D.J. (1970): Stochastische Modelle für soziale Vorgänge. Oldenbourg, München.

    Google Scholar 

  • BARTHOLOMEW,D.J. (1971): The statistical approach to manpower planning. The Statistician 20, 3–26.

    Article  Google Scholar 

  • BECKMANN,M.J. (1973): Alternative strategies for promotion and optimal salary scales in hierarchical organizations. Unveröffentlichtes Vortragsmanuskript.

    Google Scholar 

  • COALE,A.J. (1972): The growth and structure of human populations. A mathematical investigation. Princeton University Press, Princeton.

    Google Scholar 

  • FEICHTINGER,G. (1971a): Stochastische Modelle demographischer Prozesse. Lecture Notes in Operations Research and Mathematical Systems, Vol. 44 (M.Beckmann and H.P.Künzi, eds.), Springer, Berlin.

    Google Scholar 

  • FEICHTINGER,G. (1971b): Ein Optimierungsproblem in der Familienplanung. Vortrag, gehalten auf der 10. Jahrestagung der DGU in Bochum.

    Google Scholar 

  • FEICHTINGER,G. (1972): Neue Entwicklungen der formalen Demographie II. Mitteilungsblatt der österreichischen Gesellschaft für Statistik und Informatik. November 1972, No. 6., 53 - 64.

    Google Scholar 

  • FEICHTINGER,G. (1973): Bevölkerungsstatsstik. De Gruyter Lehrbuch. De Gruyter, Berlin.

    Google Scholar 

  • FERSCHL,F. (1970): Markovketten. Lecture Notes in Operations Research and Mathematical Systems (M.Beckmann and H.P.Künzi, eds.) Vol. 35, Springer, Berlin.

    Google Scholar 

  • FORBES,A.F. (1969): Promotion and recruitment policies for the cfntrol of quasi- stationary hierarchical systems. Paper for the NATO Conference on Mathematical Models for the Management of Manpower Systems at Oporto, Portugal, September, 1969.

    Google Scholar 

  • GANI,J. (1963): Formulae for projecting enrolments and degrees awarded in universities. J.R. Statist. Soc. A, 126, 400–409.

    Article  Google Scholar 

  • HEER,D.M., and D.O.SMITH (1969): Mortality level, desired family size and population increase: further variation on a basic model. Demography 6, 141 - 149.

    Article  Google Scholar 

  • JAQUETTE,D.L. (1972): A discrete time population control model. Mathematical Biosciences 15, 231 - 252.

    Article  Google Scholar 

  • KABAK,I.W. (1972): On scheduling the delivery of babies. Operations Research 20, 19–23.

    Article  Google Scholar 

  • KEIDING,N. (1973): Lecture Notes on the Stochastic Population Model. Institute of Mathematical Statistics, University of Copenhagen.

    Google Scholar 

  • KEYPITZ,N. (1968): Introduction to the Mathematics of Population. Addison- Wesley, Reading, Massachusetts.

    Google Scholar 

  • KEYPITZ,N. (1972a): What mathematical demography tells that we would not know without it. Working paper of the East- West Population Institute. Honolulu.

    Google Scholar 

  • KEYPITZ,N. (1972b): Population waves. In: Population Dynamics (T.N.E. Greville, ed.) 1 - 38, Academic Press, New York.

    Google Scholar 

  • LAWRENCE,C.E.,A.I.MUNDIGO, and C.S.REVELLE (1972): A mathematical model for resource allocation in population programs. Demography 9, 465 - 483.

    Article  Google Scholar 

  • LOPEZ,A. (1961): Problems in stable population theory. Office of Population Research, Princeton University, Princeton.

    Google Scholar 

  • LURY,D.A., ed. (1971): Statistics and manpower planning in the firm. The Statistican 20, No. 1, March 1971.

    Google Scholar 

  • MANN,S.H. (1972): On the optimal size for exploited natural animal populations. Operations Research 21, 672 - 676.

    Article  Google Scholar 

  • MARSHALL,K.T. (1973): A comparison of two personnel prediction models. Operations Research 21, 810 - 822.

    Article  Google Scholar 

  • McPARLAND,D.D. (1972): A dynamic theory of the growth and structure of organizations. Bisher unveröffentlichtes Manuskript.

    Google Scholar 

  • McNICOLL,G.(1971): On aggregative economic models and population policy. Working paper of the East- West Population Institute, Honolulu.

    Google Scholar 

  • O’HARA,D.J. (1972): Mortality risks, sequential decisions on births, and population growth. Demography 9, 485 - 498.

    Article  Google Scholar 

  • O’HARA,D.J. (1973): Persönliche Mitteilung.

    Google Scholar 

  • POLLARD,J.H. (1967): Hierarchical population models with Poisson recruitment, J. Appl. Prob. 209 - 213.

    Google Scholar 

  • POLLARD,J.H. (1968): A note on the age structures of learned societies. J.R. Statist. Soc. A, 131, 569 - 578.

    Article  Google Scholar 

  • POLLARD,J.H. (1973): Mathematical Models for the Growth of Human Populations. Cambridge at the University Press.

    Google Scholar 

  • REINKE,W.A. (1970): The role of Operations Research in population planning. Operations Research 18, 1099 - 1111.

    Article  Google Scholar 

  • RYDER,N.B. (1964): Notes on the concept of a population. The American Journal of Sociology, Vol. 68, 447 - 463.

    Article  Google Scholar 

  • SCHULTZ,T.P. (1971): The effectiveness of population policies: alternative methods of statistical inference. Draft prepared for presentation to the Fourth Conference on the Mathematics of Population, Honolulu, Hawaii, July 28- August 1, 1971.

    Google Scholar 

  • THONSTAD,T. (1969): Education and Manpower. Theoretical Models and Empirical Applications. Oliver and Boyd. Edinburgh.

    Google Scholar 

  • WAUGH,W.A.O’N. (1971): Career prospects in stochastic social models with time - varying rates. Paper presented at the Fourth Conference on the Mathematics of Population, The East- West Center, Honolulu, Hawaii, July 28- August 1, 1971.

    Google Scholar 

  • WILSON, N.A.B; ed. (1969):. Manpower research. Proceedings of a conference held under the aegis of the NATO. Scientific Affairs Committee in London from 14 th - 18 th August, 1967, The English Universities Press, London.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

P. Gessner R. Henn V. Steinecke H. Todt

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Physica-Verlag, Rudolf Liebing KG, Würzburg

About this paper

Cite this paper

Feichtinger, G. (1974). OR-Modelle sozio-demographischer Prozesse. In: Gessner, P., Henn, R., Steinecke, V., Todt, H. (eds) DGOR Papers of the Annual Meeting 1973 / Vorträge der Jahrestagung 1973. Proceedings in Operations Research, vol 1973. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-99747-1_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-99747-1_22

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0138-5

  • Online ISBN: 978-3-642-99747-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics