Abstract
A device that can perform the elementary operations of arithmetic rapidly and accurately and store the results of these calculations in order to use them at appropriate times according to assigned instructions necessarily must exert a strong influence upon any field in which significant problems can be quantized. It is obvious therefore that the digital computer plays a role of increasing importance in science and engineering. What is not as clear is the magnitude or kind of influence. The second computer revolution, the overthrow of the concepts and methodology of the seventeenth and eighteenth centuries, will be far more dramatic than the first which consisted merely in an accelerated use of the methods and methodology of these bygone eras.
Supported by the National Institutes of Health under Grant No. GM 16197-01 and GM 16197-02.
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References
Bellman, R., Cooke, K.L. and Lockett, J., Algorithms, Graphs, and Computers. Academic Press Inc., New York, to appear
Bellman, R., Adaptive Control Processes: A Guided Tour, Princeton University Press, Princeton, New Jersey, 1961
Bellman, R., “On a Routing Problem,” C. Appl. Math., Vol. 16, pp. 87–90, 1968
Bellman, R., “Dynamic Programming Treatment of the Traveling Salesman Problem,” J. Assoc. Comput. Machinery, Vol. 9, pp. 61–63, 1962
Bellman, R., “Dynamic Programming and Difficult Crossing Puzzles,” Math. Mag., January-February, pp. 27–29, 1962
Bellman, R., and Cooke, K.L., “The Konigsberg Bridges Problem Generalized,” J. Math. Anal. Appl., Vol. 25, 1969
Bellman, R., “On Some Mathematical Recreations,” Amer. Math. Monthly, Vol. 69, pp. 640–643, 1962
Bellman, R., “Dynamic Programming and Lewis Carroll’s Game of Doublets,” B. Inst. Math, and its Appl., to appear
Bellman, R., and Gluss, B., “On Various Versions of the Defective Coin Problem,” Information and Control, Vol. 4, pp. 118–131, 1961
Bellman, R., “An Application of Dynamic Programming to the Coloring of Maps, ICC Bull., Vol. 4, pp. 3–6, 1965
Bellman, R., “Stratification and the Control of Large Systems with Applications to Chess and Checkers,” Information Sciences, Vol. 1, pp. 7–21, 1968
Bellman, R., “On the Application of Dynamic Programming to the Determination of Optimal Play in Chess and Checkers,” Proc. Nat. Acad. Sci. USA, Vol. 53, pp. 244–247, 1965
Howard, R., Dynamic Programming and Markovian Decision Processes, M.I.T. Press, Cambridge, Massachusetts, 1965
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Bellman, R. (1970). Dynamic Programming and Problem-Solving. In: Banerji, R.B., Mesarovic, M.D. (eds) Theoretical Approaches to Non-Numerical Problem Solving. Lecture Notes in Operations Research and Mathematical Systems, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99976-5_10
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