Abstract
This chapter is dedicated to optimal control. This topic is included in the book because the methods of optimal control theory are closely related to the differential inclusions, in particular, to the problem of finding the reachable sets. An application in marketing is presented.
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References
Bertsimas D, Lo AW (1998) Optimal control of execution costs. J Finan Markets 1:1–50
Burmeister E, Dobell AR (1972) Guidance and optimal control of free-market economics: a new interpretation. SMC 2(1):9–15
Chow GC (1997) Dynamic economics: optimization by the lagrange method. Oxford University Press, Oxford, p 9780195101928
Dixit AK (1990) Optimization in economic theory. Oxford University Press, Oxford
Feichtinger G, Hartl RF, Sethi SP (1994) Dynamic optimal control models in advertising: recent developments. Manage Sci INFORMS 40(2):195–226
Forrester JW (1961) Industrial dynamics. Pegasus Communications, Waltham, MA
Gomes Salema MI, Barbosa-Povoa AP, Novais AQ (2007) An optimization model for the design of a capacitated multi-product reverse logistics network with uncertainty. Eur J Oper Res 179(3):1063–1077
Karatzas I (1989) Optimization problems in the theory of continuous trading. SIAM J Control Optim 27(6):1221–1259
Karatzas I, Lehoczky JP, Novais AQ, Shreve SE (1987) Optimal portfolio and consumption decisions for a “small investor” on a finite horizon. SIAM J Control Optim Soc Ind Appl Math 25(6):1557–1586. http://dx.doi.org/10.1137/0325086, ISBN/ISSN ISSN 0363-0129
King WR (1967) Quantitative analysis for marketing management. McGraw-Hill, New York
Konno H, Yamazaki H (1991) Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market. Manag Sci 37(5):519–531
Korn R, Korn E (2001) Option pricing and portfolio optimization modern methods of financial mathematics, vol 31. American Mathematical Society, ISBN: 10: 0-8218-2123-7
Lee EB, Markus L (1967) Foundations of optimal control theory. Wiley. ISBN: 978-0898748079
Lilien GL, Kotler P (1972) Marketing decision making: a model-building approach. Harper & Row, New York, p 0060440767
Montgomery DB, Urban GL (1969) Management science in marketing. Prentice Hall, Englewood Cliffs, NJ
Morris MH, Pitt LF, Honeyutt ED (2001) Business-to-business marketing: a strategic approach. Sage, London. 0-8039-5964-8
Page SE (2018) The model thinker. Hachette Book Group, New York. 978-0-465-009462-2
Polak E (1971) Computational methods in optimization. Academic Press, New York, p 0125593503
Pontryagin LS, Boltyanskii VG, Gamkrelidze RV, Mishchenko EF (1962) The mathematical theory of optimal processes. Interscience. ISBN: 2-88124-077-1
Shapiro SJ, Tadajewski M, Shultz CJ (2009) Interpreting macromarketing: the construction of a major macromarketing research collection. Research collection. J Macromarket 29:325–334. https://doi.org/10.1177/0276146709338706
Speranza MG (1996) A heuristic algorithm for a portfolio optimization model applied to the Milan stock market. Comput Oper Res 23(5):433–441
Sriyudthsak K, Uno H, Gunawan R, Shiraishi F (2015) Using dynamic sensitivities to characterize metabolic reaction systems. Math Biosci 269:153–163
Stanovich KE (1999) Discrepancies between normative and descriptive models of decision making and the understanding/acceptance principle. Cogn Psychol 38:349–385. URL: http://www.idealibrary.com
Yuanguo Z (2009) A fuzzy optimal control model. J Uncertain Syst 3(4):270–279. URL: www.jus.org.uk
Zeigler BP (1976) Theory of modeling and simulation. Wiley-Interscience, New York
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Raczynski, S. (2022). Modeling, Simulation, and Optimization. In: Models for Research and Understanding. Simulation Foundations, Methods and Applications. Springer, Cham. https://doi.org/10.1007/978-3-031-11926-2_6
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DOI: https://doi.org/10.1007/978-3-031-11926-2_6
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