Abstract
The principles of dynamic programming have been explained and illustrated in Chapters 2 and 3. Specialist texts on dynamic programming deal with extensions to the basic framework of various kinds. Some extensions which may be useful in the context of managing agricultural and natural resources are introduced in this chapter. The aim is to provide some insight into the formulation and application of the extensions, rather than to treat each topic with full rigour.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderson, J.R., Dillon, J.L. and Hardaker, J.B. (1977), Agricultural Decision Analysis, Iowa State University Press, Ames.
Beckmann, M.J. (1968), Dynamic Programming of Economic Decisions, Springer-Verlag, Berlin.
Bellman, R.E. and Dreyfus, S.E. (1962), Applied Dynamic Programming, Princeton University Press, Princeton.
Burt, O.R. (1964), Optimal resource use over time with an application to ground water, Management Science, 11 (1), 80–93.
Burt, O.R. (1981), Farm level economics of soil conservation in the Palouse area of the Northwest, American Journal of Agricultural Economics, 63 (1), 83–92.
Burt, O.R. and Cummings, R.G. (1977), Natural resource management, the steady state, and approximately optimal decision rules, Land Economics, 53 (1), 1–22.
Burt, O.R., Koo, WW. and Dudley, N.J. (1980), Optimal stochastic control of US wheat stocks and exports, American Journal of Agricultural Economics, 62(2), May, 172–87.
Chow, G.C. (1975), Analysis and Control of Dynamic Economic Systems, J. Wiley, New York.
Cooper, L. and Cooper, M.W. (1981), Introduction to Dynamic Programming, Pergamon Press, Oxford.
Denardo, E.V. (1982), Dynamic Programming: Models and Applications, Prentice- Hall, Englewood Cliffs.
Dharmadhikari, V.K. (1975), Solving discrete-variable multiple-constraint non-linear programs: The decision-state method, Institute of Technology, Southern Methodist University, Dallas.
Hadley, G. (1970), Nonlinear and Dynamic Programming, Addison-Wesley, Reading, Massachusetts.
Hardaker, J.B. (1979), Optimal management of income equalisation deposits, Paper presented to the Australian Agricultural Economics Society 23rd Annual Conference, Canberra, 6–8 February.
Heidari, M., Chow, V.T., Kokotovic, P.V. and Meredith, D.D. (1971), The discrete differential dynamic programming approach to water resources systems optimization, Water Resources Research, 7 (2), 273–82.
Hillier, F.S. and Lieberman, G.J. (1967), Introduction to Operations Research, Holden-Day, San Francisco.
Jacobs, O.L.R. (1974), Introduction to Control Theory, Clarendon Press, Oxford.
Karp, L.S. and McCalla, A.F. (1983), Dynamic games and international trade: an application to the world corn market, American Journal of Agricultural Economics, 65 (4), 641–50.
Keeney, R.L. and Raiffa, H. (1976), Decisions with Multiple Objectives: Preferences and Value Trade-offs, J. Wiley, New York.
Knapp, K.C. (1983), Steady state solutions to dynamic optimization models with inequality constraints, Land Economics, 59 (3), 300–4.
Larson, R.E. and Casti, J.L. (1982), Principles of Dynamic Programming Part II, Advanced Theory and Applications, Dekker, New York.
Lewis, T.R. (1975), Optimal resource management under conditions of uncertainty: the case of an ocean fishery, Unpublished PhD thesis, University of California, San Diego.
Morin, T.L. and Esogbue, A.M.O. (1974), The imbedded state space approach to reducing dimensionality in dynamic programs of higher dimensions, Journal of Mathematical Analysis and Applications, 48, 801–10.
Nemhauser, G.L. (1966), Introduction to Dynamic Programming, J. Wiley, New York.
Norman, J.M. (1972), Heuristic Procedures in Dynamic Programming, Manchester University Press, Manchester.
Page, T. (1977), Conservation and Economic Efficiency—An Approach to Materials Policy, Johns Hopkins University Press, Baltimore.
Pearce, D.W. (ed.) (1978), The Valuation of Social Cost, George Allen and Unwin, London.
Rausser, G.C. and Hochman, E. (1979), Dynamic Agricultural Systems: Economic Prediction and Control, North-Holland, New York.
Sinden, J.A. and Worrell, A.C. (1979), Unpriced Values—Decisions Without Market Prices, J. Wiley, New York.
Tauxe, G.W., Inman, R.R. and Mades, D.M. (1979a), Multi-objective dynamic programming: a classic problem redressed, Water Resources Research, 15 (6), 1398–402.
Tauxe, G.W., Inman, R.R. and Mades, D.M. (1979b), Multi-objective dynamic programming with application to a reservoir, Water Resources Research, 15(6), 1403–8.
Taylor, R.C. and Burt, O.R. (1984), Near-optimal management strategies for controlling wild oats in spring wheat, American Journal of Agricultural Economics, 66 (1), 50–60.
Thampapillai, D. (1978), Methods of multiple objective planning: a review, World Agricultural Economics and Rural Sociology Abstracts, 20 (12), 803–13.
Theil, H. (1964), Optimal Decision Rules for Government and Industry, North-Holland, Amsterdam.
Turgeon, A. (1982), Incremental dynamic programming may yield nonoptimal solutions, Water Resources Research, 18 (6), 1599–604.
Yakowitz, S. (1982), Dynamic programming applications in water research, Water Resources Research, 18 (4), 673–96.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Elsevier Applied Science Publishers Ltd
About this chapter
Cite this chapter
Kennedy, J.O.S. (1986). Extensions to the Basic Formulation. In: Dynamic Programming. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4191-5_4
Download citation
DOI: https://doi.org/10.1007/978-94-009-4191-5_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8362-1
Online ISBN: 978-94-009-4191-5
eBook Packages: Springer Book Archive