nach oben

Erschienen in:

2011 | OriginalPaper | Buchkapitel

29. Harold W. Kuhn

verfasst von : Saul I. Gass, Guillermo Owen

Erschienen in: Profiles in Operations Research

Verlag: Springer US

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Shortly after WorldWar II, many college mathematics students pursuing their educational programs had no way of knowing that a new, mathematically based applied field, Operations Research (OR), had originated from the exigencies of military planning and operations. OR did not enter college curricula until the mid-1950s, and then, only rarely in mathematics departments. Occasionally, through mainly fortuitous circumstances, mathematical problems that were to have a significant impact on OR were brought to the attention of a select group of such students. Remarkable mathematical, computational, and applied advances resulted from this early exposure. One of the most influential of this new generation of mathematical researchers was Harold W. Kuhn.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel D. Ray Fulkerson

Nächstes Kapitel Saul I. Gass

Albers D, Alexanderson G (1985) Mathematical people. S. B. Maurer, interview with Albert Tucker. Birkhäuser, Boston, MA, pp 339–348

Balinski M 1991. Mathematical programming: journal, society, recollections. In: Lenstra J, Rinnooy Kan A, Schrijver A (eds) History of mathematical programming. North-Holland, Amsterdam, pp 5–18

Birge J (2009) Personal communication

Chankong V, Haimes Y (1983) Multiobjective decision making. North-Holland, New York, NY

Cohon J (1978) Multiobjective programming and planning. Academic, New York, NY

Dantzig G (1951a) A proof of the equivalence of the programming problem and the game problem. In: Koopmans TC (ed) Activity analysis of production and allocation. Cowles Commission Monograph 13, Wiley, New York, NY, pp 330–335

Dantzig G (1951b) Maximization of a linear function of variables subject to linear inequalities. In: Koopmans TC (ed) Activity analysis of production and allocation. Cowles Commission Monograph 13, Wiley, New York, NY, pp 339–347

Dantzig G (1991) Linear programming. In: Lenstra J, Rinnooy Kan A, Schrijver A (eds) History of mathematical programming. North-Holland, Amsterdam, pp 19–31

Dresher M, Shapley L, Tucker A (eds) (1964) Advances in game theory. Annals of Mathematics Studies 52. Princeton University Press, Princeton, NJ

Dresher M, Tucker A, Wolfe P (eds) (1957) Contributions to the theory of games, vol III. Annals of Mathematics Studies 39. Princeton University Press, Princeton, NJ

Egerváry E (1955) On combinatorial properties of matrices (trans: Kuhn H). Logistics Papers (Issue 11), Paper 4, George Washington University, Washington, DC, pp 1–11

Frank A (2004) On Kuhn’s Hungarian method—a tribute from Hungary. Nav Res Logistics 52(1):2–5CrossRef

Gale D, Kuhn HW, Tucker A (1951) Linear programming and the theory of games. In: Koopmans TC (ed) Activity analysis of production and allocation. Cowles Commission Monograph 13, Wiley, New York, NY, pp 317–329

Harsanyi J, Mayberry J, Scarf H, Selten R (1992) Game-theoretic models of cooperation and conflict. Westview Press, Boulder, CO

Karush W (1939) Minima of functions of several variables with inequalities as side conditions. Master’s Thesis, Department of Mathematics, University of Chicago, Chicago, IL

König D (1950) Theorie der endlichen und unendlichen Graphen: Kombinatorische Topologie der Streckenkomplexe. Chelsea Publishing Company, New York, NY, 1950; (originally published in 1936, Mathematik in Monographien 16, Akademische Verlagsgesellschaft. Leipzig)

Koopmans T (ed) (1951) Activity analysis of production and allocation: proceedings of a conference. Cowles Commission Monograph 13. Wiley, New York, NY

Koopmans T (1957) Three essays on the state of economic science. McGraw-Hill, New York, NY

Kuenne R, Kuhn HW (1962) An efficient algorithm for the numerical solution of the generalized Weber problem in spatial economics. J Reg Sci 4(2):21–33CrossRef

Kuhn HW (1950) Extensive games. Proc Natl Acad Sci. 36(10):570–576CrossRef

Kuhn HW (1953) Extensive games and the problem of information. In: Kuhn HW, Tucker A (eds) Contributions to the theory of games, II. Annals of Mathematics Studies 28. Princeton University Press, Princeton, NJ, pp 193–216

Kuhn HW (1955) The Hungarian method for the assignment problem. Nav Res Logistics Q 2(1–2):83–97CrossRef

Kuhn HW (1956) Variants of the Hungarian method for assignment problems. Nav Res Logistics Q 3(4):253–258CrossRef

Kuhn HW (1961) An algorithm for equilibrium points in bimatrix games. Proc Natl Acad Sci 47(10):1657–1662CrossRef

Kuhn HW (1965) Locational economics and mathematical programming. In: Proceedings of the colloquium on the application of mathematics to economics, Budapest, 1963, Publishing House of the Hungarian Academy of Sciences, pp 235–242

Kuhn HW (1967a) On games of fair division. In: Shubik M (ed) Essays in mathematical economics. Princeton University Press, Princeton, NJ, 29–37

Kuhn HW (1967b) On a pair of dual nonlinear programs. In: Abadie J (ed) Nonlinear programming. North-Holland, Amsterdam, pp 38–54

Kuhn HW (1968) Simplicial approximation of fixed points. Proc Natl Acad Sci 61(4):1238–1242CrossRef

Kuhn HW (1969) Approximate search for fixed points. In: Zadeh L, Neustadt L, Balakrishnan A (eds) Computing methods in optimization problems. Academic, New York, NY, pp 199–211

Kuhn HW (1974) A new proof of the fundamental theorem of algebra. Math Program Stud 1:148–158

Kuhn HW (1976) Nonlinear programming: a historical view. In: Cottle R, Lemke C (eds) Nonlinear programming: proceedings of the SIAM-AMS Symposia, New York, March, 1975, vol 9. American Mathematical Society, Providence, RI, pp 1–26

Kuhn HW (1991a) On the origin of the Hungarian method. In: Lenstra J, Rinnooy Kan A, Schrijver A (eds) History of mathematical programming. North-Holland, Amsterdam, pp 77–81

Kuhn HW (1991b) Nonlinear programming: a historical note. In: Lenstra J, Rinnooy Kan A, Schrijver A (eds) History of mathematical programming. North-Holland, Amsterdam, pp 82–96

Kuhn HW (ed) (1997) Classics in game theory. Princeton University Press, Princeton, NJ

Kuhn HW (2002) On being in the right place at the right time. Oper Res 50(1):132–134CrossRef

Kuhn HW (2003) Lectures on the theory of games. Annals of Mathematics Studies 37. Princeton University Press, Princeton, NJ

Kuhn HW (2008) 57 years of close encounters with George. http://www2.informs.org/History/dantzig/articles_kuhn.html. Accessed 12 Aug 2009

Kuhn HW, Nasar S (eds) (2002) The essential John Nash. Princeton University Press, Princeton, NJ

Kuhn HW, Szego G (eds) (1969) Mathematical systems theory and economics. Lecture notes in operations research and mathematical economics, Springer, New York, NY

Kuhn HW, Tucker A (eds) (1950) Contributions to the theory of games, vol I. Annals of Mathematics Studies 24. Princeton University Press, Princeton, NJ

Kuhn HW, Tucker A (1951) Nonlinear programming. In: Neyman J (ed) Proceedings of the second Berkeley symposium on mathematical statistics and probability, University of California Press, Berkeley, CA, pp 481–492

Kuhn HW, Tucker A (eds) (1953) Contributions to the theory of games, vol II. Annals of Mathematics Studies 28. Princeton University Press, Princeton, NJ

Kuhn HW, Tucker A (eds) (1956) Linear inequalities and related systems. Annals of Mathematics Studies 38. Princeton University Press, Princeton, NJ

Kuhn HW, Tucker A (1956) Games, theory of. Encyclopædia Britannica 10:6–11

Luce R, Tucker A (eds) (1959) Contributions to the theory of games, vol IV. Annals of Mathematics Studies 40. Princeton University Press, Princeton, NJ

Munkres J (1957) Algorithms for the assignment and transportation problem. J Soc Ind Appl Math 5(1):32–38CrossRef

Nasar S (1998) A beautiful mind. Simon and Schuster, New York

Nash J (1995) Autobiography. In: Frängsmyr T (ed) The Nobel prizes 1994. The Nobel Foundation, Stockholm; also see Kuhn and Nasar (2002) 5–11

Princeton Press (2009) http://press.princeton.edu/titles/7560.html. Accessed 24 Feb 2009

Schrijver A (2003) Combinatorial optimization: polyhedra and efficiency, vol A. Springer, New York, NY

Simchi-Levi D (2005) Editorial: The Harold W. Kuhn Award. Nav Res Logistics 52(1):1CrossRef

von Neumann J, Morgenstern O (1944) The theory of games and economic behavior. Princeton University Press, Princeton, NJ

Titel: Harold W. Kuhn
verfasst von: Saul I. Gass
Guillermo Owen
Verlag: Springer US
Buch: Profiles in Operations Research
Print ISBN: 978-1-4419-6280-5

Electronic ISBN: 978-1-4419-6281-2

Copyright-Jahr: 2011
DOI: https://doi.org/10.1007/978-1-4419-6281-2_29