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Profiles in Operations Research pp 95–111Cite as

Albert W. Tucker

Part of the International Series in Operations Research & Management Science book series (ISOR,volume 147)

Abstract

Operations research(OR) has been able to flourish and make its mark by solving real-world decision problems in just about all facets of human endeavor. Often, such successes rest heavily on mathematical results discovered by researchers who had little or no interest in applications. Further, those who successfully extended the application reach of OR were often trained in their mathematical and related skills by outstanding teachers who are able to convey the implications of such theoretical results by being great expositors. For over 50 years, especially during the embryonic years of OR, Albert W. Tucker was the pre-eminent example of the mathematician, teacher, and expositor that graced the field. His contributions to OR were recognized by his being awarded the Operations Research Society of America’s John von Neumann Prize and his being inducted into the International Federation of Operations Research Societies’ Hall of Fame.

Keywords

  • Game Theory
  • Operation Research
  • Matrix Game
  • Operation Research Society
  • Combinatorial Topology

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • Albers DJ, Alexanderson GL (eds) (1985) Albert Tucker. Mathematical people. Birkhauser, Boston, MA, pp 339–348

    Google Scholar 

  • Albers DJ, Alexanderson GL, Reid C (eds) (1990) George B. Dantzig. More mathematical people. Academic, Orlando, FL, pp 61–79

    Google Scholar 

  • Balinski M (ed) (1974) Pivoting and extensions: in honor of A. W. Tucker. Mathematical programming study 1. North-Holland, Amsterdam

    Google Scholar 

  • Bellman R (1984) Eye of the Hurricane: an autobiography. World Scientific Publishing Company, Singapore

    Google Scholar 

  • Blackett DW (1967) Elementary topology: a combinatorial and algebraic approach. Academic, New York, NY

    Google Scholar 

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

    Google Scholar 

  • Dantzig GB (1963) Linear programming and extensions. Princeton University Press, Princeton, NJ

    Google Scholar 

  • Dantzig GB (1991) Linear programming. In: Lenstra J, Rinnooy Kan A, Schrijver A (eds) History of mathematical programming. Elsevier, Amsterdam, pp 19–31.

    Google Scholar 

  • Dantzig GB (2002) Linear programming. Oper Res 50(1):42–47

    Google Scholar 

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

    Google Scholar 

  • Gass SI (2004) IFORS’ operational research hall of fame: Albert William Tucker. Int Trans Oper Res 11(2):239–242

    CrossRef  Google Scholar 

  • 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

    Google Scholar 

  • Koopmans TC (ed) (1951) Activity analysis of production and allocation. Wiley, New York, NY

    Google Scholar 

  • Kuhn HW (1968) Award for distinguished service to Professor Albert W. Tucker. Am Math Mon 75(1):1–3

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    CrossRef  Google Scholar 

  • Kuhn HW, Tucker AW (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

    Google Scholar 

  • Luce LD, Raiffa H (1957) Games and decisions. Wiley, New York, NY

    Google Scholar 

  • Nasar S (1995) Obituary: Albert W. Tucker. New York Times, January 27

    Google Scholar 

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

    Google Scholar 

  • Nering ED, Tucker AW (1993) Linear programming and related problems. Academic, Boston, MA

    Google Scholar 

  • Poundstone W (1992) Prisoner’s dilemma. Doubleday, New York, NY

    Google Scholar 

  • Princeton University (1985) Princeton Mathematics Community in the 1930s: Interview with Albert W. Tucker, transcript no. PMC 31. Trustees of Princeton University, Princeton, NJ. (Transcript Nos. 29–40, interviews with Albert Tucker, 1975, 1979, 1984.) http://www.princeton.edu/mudd/math. Accessed 22 Feb 2009

    Google Scholar 

  • Tucker AW (1933) An abstract approach to manifolds. Ann Math 34(2):191–243

    CrossRef  Google Scholar 

  • Tucker AW (1957) Linear and nonlinear programming. Oper Res 5(2):244–257

    CrossRef  Google Scholar 

  • Tucker AW (1960) Solving a matrix game by linear programming. IBM J Res 4:507–517

    CrossRef  Google Scholar 

  • Tucker AW (1983) The mathematics of Tucker: a sampler. Two-Year Coll Math J 14(3):228–232

    CrossRef  Google Scholar 

  • Tucker AW (1985a) The Princeton Mathematics Community in the 1930s. Transcript number 39 (PMC39), Seeley G. Mudd Manuscript Library, Princeton University, Princeton, NJ

    Google Scholar 

  • http://www.princeton.edu/~mudd/finding_aids/mathoral/pm02.htm

  • http://www.princveton.edu/~mudd/finding_aids/mathoral/pmc39.htm. Accessed 27 Oct 2009)

  • Tucker AW (1985b) The Princeton Mathematics Community in the 1930s. Transcript number 31 (PMC31), Seeley G. Mudd Manuscript Library, Princeton University, Princeton, NJ

    Google Scholar 

  • http://www.princeton.edu/~mudd/finding_aids/mathoral/pm02.htm

  • http://www.princeton.edu/~mudd/finding_aids/mathoral/pmc31.htm. Accessed 27 Oct 2009)

  • Tucker AW (1985c) The Princeton Mathematics Community in the 1930s. Transcript number 40 (PMC40), Seeley G. Mudd Manuscript Library, Princeton University, Princeton, NJ

    Google Scholar 

  • http://www.princeton.edu/~mudd/finding_aids/mathoral/pm02.htm

  • http://www.princeton.edu/~mudd/finding_aids/mathoral/pmc40.htm. Accessed 27 Oct 2009)

  • Tucker AW (1985d) Solomon Lefschetz: a reminiscence. In: Albers DJ, Alexanderson GL (eds) Mathematical people. Birkhauser, Boston, MA, pp 349–350

    Google Scholar 

  • Williams JD (1966) The compleat strategyst. McGraw-Hill, New York, NY

    Google Scholar 

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Authors and Affiliations

  1. Robert H. Smith School of Business, University of Maryland, College Park, MD, USA

    Saul I. Gass

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  1. Saul I. Gass
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Correspondence to Saul I. Gass .

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Editors and Affiliations

  1. , School of Management, University at Buffalo, State University, Jacobs Management Center 160, Buffalo, 14260-4000, New York, USA

    Arjang A. Assad

  2. Robert H. Smith School of Business, University of Maryland, Van Munching Hall, College Park, 20742-1915, Maryland, USA

    Saul I. Gass

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Gass, S.I. (2011). Albert W. Tucker. In: Assad, A., Gass, S. (eds) Profiles in Operations Research. International Series in Operations Research & Management Science, vol 147. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-6281-2_6

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