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Bellman, Richard; Lee, E. Stanley

Functional equations in dynamic programming. (English) Zbl 0397.39016

Aequationes Math. 17, 1-18 (1978).
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Cited in 106 Documents

MSC:

39B99 Functional equations and inequalities
90C39 Dynamic programming
49J05 Existence theories for free problems in one independent variable
62M99 Inference from stochastic processes

Keywords:

Allocation Processes; Expository Article; Vector Functional Equation; Markov Decision Processes; Optimal Routing; Fuzzy Systems; Dynamic Programming; Invariant Imbedding; Inventory and Scheduling; Nonlinear Boundary Value Problems; Calculus of Variations
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\textit{R. Bellman} and \textit{E. S. Lee}, Aequationes Math. 17, 1--18 (1978; Zbl 0397.39016)
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References:

[1] Bellman, R.,Dynamic programming. Princeton University Press, Princeton, N.J., 1957. · Zbl 0077.13605
[2] Bellman, R.,Adaptive control processes. A guided tour. Princeton University Press, Princeton, N.J., 1961. · Zbl 0103.12901
[3] Bellman, R. andDreyfus, S.,Applied dynamic programming. Princeton University Press, Princeton, N.J., 1962.
[4] Arrow, K. J., Karlin, S. andScarf, H.,Studies in the mathematical theory of inventory and production. Stanford University Press, Stanford, 1958. · Zbl 0079.36003
[5] Mine, H. andOsaki, S.,Markovian decision-processes. American Elsevier, New York, 1970. · Zbl 0209.51601
[6] Howard, R. A.,Dynamic programming and Markov processes. Wiley, 1960. · Zbl 0091.16001
[7] Bellman, R.,Introduction to the mathematical theory of control processes, Volumes I and II, 1967, 1971. Academic Press, New York. · Zbl 0164.39601
[8] Dreyfus, S.,Dynamic programming and the calculus of variations. Academic Press, New York, 1965. · Zbl 0193.19401
[9] Aris, R.,Discrete dynamic programming. Blaisdell, New York, 1964. · Zbl 0122.37503
[10] Bellman, R. andAngel, E.,Dynamic programming and partial differential equations. Academic Press, New York, 1972. · Zbl 0312.49011
[11] Lee, E. S.,Quasilinearization and invariant imbedding. Academic Press, New York, 1968. · Zbl 0212.17602
[12] Bellman, R. andWing, G. M.,An introduction to invariant imbedding. Wiley, New York, 1975. · Zbl 0325.34001
[13] Wing, G. M.,An introduction to transport theory. Wiley, New York, 1962. · Zbl 0102.43004
[14] Bellman, R. andZadeh, L. A.,Decision-making in a fuzzy environment, Management Sciences 17, (1970), B-141–B164. · Zbl 0224.90032
[15] Bellman, R.,A note on cluster analysis and dynamic programming. Mathematical Biosciences 19 (1973), 311–312. · Zbl 0277.49010
[16] Chang, S. S. L.,Fuzzy dynamic programming and decision-making process. InProceedings of the 3rd Princeton Conference on Information Sciences, 1969, pp. 200–203.
[17] Zadeh, L. A.,Fuzzy sets. Information and Control,8 (1965), 338–353. · Zbl 0139.24606
[18] Zadeh, L. A.,Fuzzy algorithms. Information and Control12 (1968), 94–102. · Zbl 0182.33301
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