Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton-Jacobi equations, projections and differential games. (English) Zbl 1415.35087 Ann. Math. Sci. Appl. 3, No. 2, 369-403 (2018). MSC: 35F21 46N10 49N70 49N90 90C90 91A23 93C95 35D40 35Q93 PDF BibTeX XML Cite \textit{Y. T. Chow} et al., Ann. Math. Sci. Appl. 3, No. 2, 369--403 (2018; Zbl 1415.35087) Full Text: DOI
Bringmann, Karl A near-linear pseudopolynomial time algorithm for subset sum. (English) Zbl 1423.90210 Klein, Philip N. (ed.), Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16–19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1073-1084 (2017). MSC: 90C27 68Q17 PDF BibTeX XML Cite \textit{K. Bringmann}, in: Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16--19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1073--1084 (2017; Zbl 1423.90210) Full Text: DOI arXiv
Chow, Yat Tin; Darbon, Jérôme; Osher, Stanley; Yin, Wotao Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems. (English) Zbl 1381.65048 J. Sci. Comput. 73, No. 2-3, 617-643 (2017). MSC: 65K10 49J20 35F21 49L20 91A23 49N70 49L25 65Y05 PDF BibTeX XML Cite \textit{Y. T. Chow} et al., J. Sci. Comput. 73, No. 2--3, 617--643 (2017; Zbl 1381.65048) Full Text: DOI
Darbon, Jérôme; Osher, Stanley Algorithms for overcoming the curse of dimensionality for certain Hamilton-Jacobi equations arising in control theory and elsewhere. (English) Zbl 1348.49026 Res. Math. Sci. 3, Paper No. 19, 26 p. (2016). MSC: 49M30 49L20 49L25 65K10 PDF BibTeX XML Cite \textit{J. Darbon} and \textit{S. Osher}, Res. Math. Sci. 3, Paper No. 19, 26 p. (2016; Zbl 1348.49026) Full Text: DOI arXiv
Deepmala; Das, A. K. On solvability for certain functional equations arising in dynamic programming. (English) Zbl 1326.90098 Mohapatra, Ram N. (ed.) et al., Mathematics and computing. Selected papers based on the presentations at the 2nd international conference, ICMC, Haldia, India, January 5–10, 2015. New Delhi: Springer (ISBN 978-81-322-2451-8/hbk; 978-81-322-2452-5/ebook). Springer Proceedings in Mathematics & Statistics 139, 79-94 (2015). MSC: 90C39 39Bxx PDF BibTeX XML Cite \textit{Deepmala} and \textit{A. K. Das}, Springer Proc. Math. Stat. 139, 79--94 (2015; Zbl 1326.90098) Full Text: DOI
Piunovskiy, Aleksey B. Examples in Markov decision processes. (English) Zbl 1300.60009 Imperial College Press Optimization Series 2. London: Imperial College Press (ISBN 978-1-84816-793-3/hbk; 978-1-908979-66-7/ebook). xiii, 293 p. (2013). Reviewer: Anna Jaskiewicz (Wrocław) MSC: 60-02 60J28 90C40 PDF BibTeX XML Cite \textit{A. B. Piunovskiy}, Examples in Markov decision processes. London: Imperial College Press (2013; Zbl 1300.60009) Full Text: DOI
Bhattacharya, D. K. Maximization of revenue in fishery model with Cobb-Douglas type of production function. (English) Zbl 1259.49039 Optim. Lett. 6, No. 2, 331-338 (2012). MSC: 49L20 49N90 PDF BibTeX XML Cite \textit{D. K. Bhattacharya}, Optim. Lett. 6, No. 2, 331--338 (2012; Zbl 1259.49039) Full Text: DOI
Bellman, Richard [Dreyfus, Stuart] Dynamic programming. With a new introduction by Stuart Dreyfus. Reprint of the 1957 ed. (English) Zbl 1205.90002 Princeton Landmarks in Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14668-3/pbk). xxx, 340 p. (2010). Reviewer: Svetlana A. Kravchenko (Minsk) MSC: 90-01 90-02 90C39 49L20 PDF BibTeX XML Cite \textit{R. Bellman}, Dynamic programming. With a new introduction by Stuart Dreyfus. Reprint of the 1957 ed. Princeton, NJ: Princeton University Press (2010; Zbl 1205.90002)
Guo, Xianping; Hernández-Lerma, Onésimo Continuous-time Markov decision processes. Theory and applications. (English) Zbl 1209.90002 Stochastic Modelling and Applied Probability 62. Berlin: Springer (ISBN 978-3-642-02546-4/hbk; 978-3-642-26072-8/pbk). xvii, 231 p. (2009). Reviewer: Eugene A. Feinberg (Stony Brook) (MR2554588) MSC: 90-02 90C40 PDF BibTeX XML Cite \textit{X. Guo} and \textit{O. Hernández-Lerma}, Continuous-time Markov decision processes. Theory and applications. Berlin: Springer (2009; Zbl 1209.90002)
Bellman, Richard Dynamic programming. Reprint of the sixth (1972) edition. (English) Zbl 1029.90076 Mineola, NY: Dover Publications. xxv, 340 p. (2003). Reviewer: K.Zimmermann (Praha) MSC: 90C39 90-02 01A75 49L20 PDF BibTeX XML Cite \textit{R. Bellman}, Dynamic programming. Reprint of the sixth (1972) edition. Mineola, NY: Dover Publications (2003; Zbl 1029.90076)
Liu, Zeqing Existence theorems of solutions for certain classes of functional equations arising in dynamic programming. (English) Zbl 1018.90064 J. Math. Anal. Appl. 262, No. 2, 529-553 (2001). MSC: 90C39 39B52 PDF BibTeX XML Cite \textit{Z. Liu}, J. Math. Anal. Appl. 262, No. 2, 529--553 (2001; Zbl 1018.90064) Full Text: DOI
Merman, G. A. Stability of oscillating canonical systems in nondegenerate case with application to celestial mechanics. (English) Zbl 1172.70307 Nonlinear Anal., Real World Appl. 1, No. 3, 363-408 (2000). Reviewer: Igor Gumowski (Thoiry) MSC: 70K20 70F15 70F10 PDF BibTeX XML Cite \textit{G. A. Merman}, Nonlinear Anal., Real World Appl. 1, No. 3, 363--408 (2000; Zbl 1172.70307) Full Text: DOI
Rutkauskas, P.; Bistrickas, V. Two-choice problem for dynamic programming. (Transl. of the original title: A multidimensional dichotomous process of dynamic programming). (Russian) Zbl 0408.49031 Litov. Mat. Sb. 18, No. 4, 129-137 (1978). Reviewer: E. Ragimova MSC: 49L20 90C39 PDF BibTeX XML Cite \textit{P. Rutkauskas} and \textit{V. Bistrickas}, Litov. Mat. Sb. 18, No. 4, 129--137 (1978; Zbl 0408.49031)
Marchi, Ezio Equilibrium points of rational \(n\)-person games. (English) Zbl 0324.90095 J. Math. Anal. Appl. 54, 1-4 (1976). MSC: 91A10 91A06 PDF BibTeX XML Cite \textit{E. Marchi}, J. Math. Anal. Appl. 54, 1--4 (1976; Zbl 0324.90095) Full Text: DOI
Bellman, Richard Dynamische Programmierung und selbstanpassende Regelprozesse. Aus dem Englischen übersetzt von Fred Behringer. (German) Zbl 0152.09402 München-Wien: R. Oldenbourg Verlag. 348 S. mit 21 Abb. (1967). MSC: 49-01 93-01 PDF BibTeX XML
Polyak, B. T. Aufgaben der mehrstufigen Entscheidung. (Russian) Zbl 0139.13401 Vopr. Teor. Mat. Mashin. 2, 156-173 (1962). Reviewer: I. Vrublevskaya (R.Zh.Mat. 1964, 2B262) MSC: 90C39 PDF BibTeX XML
Kalaba, Robert Letter to the editor: Optimum preventative sampling via dynamic programming. (English) Zbl 1414.90134 Oper. Res. 6, No. 3, 439-440 (1958). MSC: 90B25 62P20 90C39 PDF BibTeX XML Cite \textit{R. Kalaba}, Oper. Res. 6, No. 3, 439--440 (1958; Zbl 1414.90134) Full Text: DOI
Bellman, Richard Letter to the editor: Comment on Dantzig’s paper on discrete variable extremum problems. (English) Zbl 1415.90141 Oper. Res. 5, No. 5, 723-724 (1957). MSC: 90C39 90C27 PDF BibTeX XML Cite \textit{R. Bellman}, Oper. Res. 5, No. 5, 723--724 (1957; Zbl 1415.90141) Full Text: DOI