Abstract
We discuss one aspect of the allocation of new scientists to teaching and research careers.In the past, this allocation problem was treated on the basis of a model with knownparameters and as a classical optimal control problem with the allocation proportion as thesole control. The utility function took both short‐ and long‐term goals into account. Here,we allow for uncertainty in the possibly time‐varying system parameters. We account forthe possibility of new scientists choosing careers other than teaching and research. Finally,we treat the allocation problem not as an open-loop optimal control one, but rather as one ofrobust control, insensitive to the system uncertainties, in order to assure the desired numbersof teachers and scientists within a computable horizon.
Similar content being viewed by others
References
M.D. Intriligator, Economic systems, in: Control and Dynamic Systems, ed. C.T. Leondes, Academic Press, NY, 1977, pp. 135-160.
M.D. Intriligator and B.L.R. Smith, Some aspects of the allocation of scientific effort between teaching and research, American Economic Review 56(1966)494-518.
V. Stoikov, The allocation of scientific effort: Some important aspects, Quarterly Journal of Economics (1964)307-323.
R.H. Bolt, W.L. Koltun and O.H. Levine, Doctoral feedback into higher education, Science 148(1965)918-928.
M. Corless and G. Leitmann, Bounded controllers for robust exponential convergence, Journal of Optimization Theory and Applications 76(1993)1-12.
M. Corless and G. Leitmann, Componentwise bounded controllers for robust exponential convergence, Proceedings of the Workshop on Robust Control Via Variable Structure and Lyapunov Techniques, Benevento, Italy, 1994, pp. 64-69.
M. Corless and G. Leitmann, Exponential convergence for uncertain systems with componentwise bounded controllers, in: Robust Control Via Variable Structure and Lyapunov Techniques, Lecture Notes in Control and Information Sciences, Springer, Berlin, 1996.
M. Corless and G. Leitmann, Componentwise bounded controllers for robust exponential convergence, Journal of Dynamic Systems, Measurement, and Control 119(1997) 73-79.
Rights and permissions
About this article
Cite this article
Lee, C., Leitmann, G. On one aspect of science policy based onan uncertain model. Annals of Operations Research 88, 199–214 (1999). https://doi.org/10.1023/A:1018930329879
Issue Date:
DOI: https://doi.org/10.1023/A:1018930329879