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2011 | OriginalPaper | Buchkapitel

34. Philip Starr Wolfe

verfasst von : Alan J. Hoffman

Erschienen in: Profiles in Operations Research

Verlag: Springer US

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Abstract

In the early 1950s, even though there were few university departments of operations research(OR), some students found the subject attractive due to the influence of a faculty advisor, specific work experience, or the intellectual challenges OR presented. In Phil Wolfe’s case, all played a role.

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Literatur
Zurück zum Zitat Brent R, Winograd S, Wolfe P (1973) Optimal iterative processes for rootfinding. Numerische Mathematik 20:327–341CrossRef Brent R, Winograd S, Wolfe P (1973) Optimal iterative processes for rootfinding. Numerische Mathematik 20:327–341CrossRef
Zurück zum Zitat Cottle R, Goldfarb D, Hoffman A (eds) (1993) Festschrift in honor of Philip Wolfe. Math Program 62(1), 62(3) Cottle R, Goldfarb D, Hoffman A (eds) (1993) Festschrift in honor of Philip Wolfe. Math Program 62(1), 62(3)
Zurück zum Zitat Dantzig G (1963) Linear programming and extensions. Princeton University Press, Princeton, NJ Dantzig G (1963) Linear programming and extensions. Princeton University Press, Princeton, NJ
Zurück zum Zitat Dantzig G, Orden A, Wolfe P (1954) The generalized simplex method for minimizing a linear form under linear inequality constraints. The RAND Corporation, Research memorandum RM-1264, April; also, 1955, Pac J Math 5(2):183–195 Dantzig G, Orden A, Wolfe P (1954) The generalized simplex method for minimizing a linear form under linear inequality constraints. The RAND Corporation, Research memorandum RM-1264, April; also, 1955, Pac J Math 5(2):183–195
Zurück zum Zitat Dantzig G, Wolfe P (1960) Decomposition principle for linear programs. Oper Res 8(1):101–111CrossRef Dantzig G, Wolfe P (1960) Decomposition principle for linear programs. Oper Res 8(1):101–111CrossRef
Zurück zum Zitat Ford L Jr, Fulkerson D (1958) A suggested computation for maximal multicommodity network flows. Manage Sci 5(1):97–101CrossRef Ford L Jr, Fulkerson D (1958) A suggested computation for maximal multicommodity network flows. Manage Sci 5(1):97–101CrossRef
Zurück zum Zitat Fourier J (1826) Solution d’une question particulière du calcul des inégalités. Bulletin des Sciences par la Société Philomatique, Paris 99-100, Oeuvres 2, pp 315–319 Fourier J (1826) Solution d’une question particulière du calcul des inégalités. Bulletin des Sciences par la Société Philomatique, Paris 99-100, Oeuvres 2, pp 315–319
Zurück zum Zitat Fourier J (1827) (Extract from) Analyse des travaux de l’Académie Royale des Sciences, pendant l’année 1824. Partie mathématique. Histoire l’Académie Royale des Sciences 7:xlvii–lv Fourier J (1827) (Extract from) Analyse des travaux de l’Académie Royale des Sciences, pendant l’année 1824. Partie mathématique. Histoire l’Académie Royale des Sciences 7:xlvii–lv
Zurück zum Zitat Frank M, Wolfe P (1956) An algorithm for quadratic programming. Nav Res Logistics Q 3(1 and 2):95–110CrossRef Frank M, Wolfe P (1956) An algorithm for quadratic programming. Nav Res Logistics Q 3(1 and 2):95–110CrossRef
Zurück zum Zitat Gale D, Stewart F (1953) Infinite games with perfect information. In: Kuhn H, Tucker A (eds) Contributions to the theory of games, vol II. Annals of Mathematics Studies Number 28. Princeton University Press, Princeton, NJ, pp 245–266 Gale D, Stewart F (1953) Infinite games with perfect information. In: Kuhn H, Tucker A (eds) Contributions to the theory of games, vol II. Annals of Mathematics Studies Number 28. Princeton University Press, Princeton, NJ, pp 245–266
Zurück zum Zitat Gilmore P, Gomory R (1961) A linear programming approach to the cutting stock problem. Oper Res 9(6):849–859CrossRef Gilmore P, Gomory R (1961) A linear programming approach to the cutting stock problem. Oper Res 9(6):849–859CrossRef
Zurück zum Zitat Gilmore P, Gomory R (1963) A linear programming approach to the cutting stock problem -- part II. Oper Res 11(6):863–888CrossRef Gilmore P, Gomory R (1963) A linear programming approach to the cutting stock problem -- part II. Oper Res 11(6):863–888CrossRef
Zurück zum Zitat Gomory R (1958) Outline of an algorithm for integer solutions to linear programs. Bull Am Math Soc 64(5):1958CrossRef Gomory R (1958) Outline of an algorithm for integer solutions to linear programs. Bull Am Math Soc 64(5):1958CrossRef
Zurück zum Zitat Gomory R (1963) An algorithm for integer solutions to linear programs. In: Graves R, Wolfe P (eds) Recent advances in mathematical programming. McGraw Hill, New York, NY, pp 269–302 Gomory R (1963) An algorithm for integer solutions to linear programs. In: Graves R, Wolfe P (eds) Recent advances in mathematical programming. McGraw Hill, New York, NY, pp 269–302
Zurück zum Zitat Grattan-Guinness I (1970) Joseph Fourier’s anticipation of linear programming. Oper Res Q 21(3):361–364CrossRef Grattan-Guinness I (1970) Joseph Fourier’s anticipation of linear programming. Oper Res Q 21(3):361–364CrossRef
Zurück zum Zitat Hitchcock F (1941) The distribution of a product from several sources to numerous localities. J Math Phys 20:224–230 Hitchcock F (1941) The distribution of a product from several sources to numerous localities. J Math Phys 20:224–230
Zurück zum Zitat Hoffman A (1953) Cycling in the simplex method. National Bureau of Standards Report, No. 2874, December 16, Washington, DC Hoffman A (1953) Cycling in the simplex method. National Bureau of Standards Report, No. 2874, December 16, Washington, DC
Zurück zum Zitat Khachiyan LG (1979) A polynomial algorithm in linear programming (in Russian). Doklady Akedamii Nauk SSR 244:1093–1096. [English translation: 1979. Soviet Mathematics Doklady 20:191–194] Khachiyan LG (1979) A polynomial algorithm in linear programming (in Russian). Doklady Akedamii Nauk SSR 244:1093–1096. [English translation: 1979. Soviet Mathematics Doklady 20:191–194]
Zurück zum Zitat Locke E (1949) The Finan-seer. Astounding Science Fiction (October) Locke E (1949) The Finan-seer. Astounding Science Fiction (October)
Zurück zum Zitat Markowitz H (1956) The optimization of a quadratic function subject to linear constraints. Nav Res Logistics Q 3(1 and 2):111–133CrossRef Markowitz H (1956) The optimization of a quadratic function subject to linear constraints. Nav Res Logistics Q 3(1 and 2):111–133CrossRef
Zurück zum Zitat Micchelli CA (ed) (2003) Selected papers of Alan J. Hoffman with commentary. World Scientific, River Edge, NJ Micchelli CA (ed) (2003) Selected papers of Alan J. Hoffman with commentary. World Scientific, River Edge, NJ
Zurück zum Zitat New York Times (1979) A Soviet discovery rocks world of mathematics. November 7, 1 New York Times (1979) A Soviet discovery rocks world of mathematics. November 7, 1
Zurück zum Zitat Sion M, Wolfe P (1957) On a game without a value. In: Dresher M, Tucker A, Wolfe P (eds) Contributions to the theory of games, vol III. Annals of Mathematics Studies Number 39. Princeton University Press, Princeton, NJ, pp 299–306 Sion M, Wolfe P (1957) On a game without a value. In: Dresher M, Tucker A, Wolfe P (eds) Contributions to the theory of games, vol III. Annals of Mathematics Studies Number 39. Princeton University Press, Princeton, NJ, pp 299–306
Zurück zum Zitat Spielberg K (2007) IP over 40+ years at IBM scientific centers and marketing. Ann Oper Res 149(1):195–208CrossRef Spielberg K (2007) IP over 40+ years at IBM scientific centers and marketing. Ann Oper Res 149(1):195–208CrossRef
Zurück zum Zitat Von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton, NJ (2nd edn, 1947; 3rd edn, 1953) Von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton, NJ (2nd edn, 1947; 3rd edn, 1953)
Zurück zum Zitat Wolfe P (1956) Determinateness of polyhedral games. In: Kuhn H, Tucker A (eds) Linear inequalities and related systems. Annals of Mathematics Studies Number 38. Princeton University Press, Princeton, NJ, pp 195–198 Wolfe P (1956) Determinateness of polyhedral games. In: Kuhn H, Tucker A (eds) Linear inequalities and related systems. Annals of Mathematics Studies Number 38. Princeton University Press, Princeton, NJ, pp 195–198
Zurück zum Zitat Wolfe P (1961) Accelerating the cutting plane method for nonlinear programming. J Soc Ind Appl Math 9(3):481–488CrossRef Wolfe P (1961) Accelerating the cutting plane method for nonlinear programming. J Soc Ind Appl Math 9(3):481–488CrossRef
Zurück zum Zitat Wolfe P (1963a) A technique for resolving degeneracy in linear programming. J Soc Ind Appl Math 11(2):205–211CrossRef Wolfe P (1963a) A technique for resolving degeneracy in linear programming. J Soc Ind Appl Math 11(2):205–211CrossRef
Zurück zum Zitat Wolfe P (1963b) Methods of nonlinear programming. In: Graves R, Wolfe P (eds) Recent advances in mathematical programming. McGraw-Hill, New York, NY, pp 67–86 Wolfe P (1963b) Methods of nonlinear programming. In: Graves R, Wolfe P (eds) Recent advances in mathematical programming. McGraw-Hill, New York, NY, pp 67–86
Zurück zum Zitat Wolfe P (1966) On the convergence of gradient methods under constraints. Report RZ-204. IBM T. J. Watson Research Center, Yorktown Heights, New York, NY Wolfe P (1966) On the convergence of gradient methods under constraints. Report RZ-204. IBM T. J. Watson Research Center, Yorktown Heights, New York, NY
Zurück zum Zitat Wolfe P (1967) Methods of nonlinear programming. In: Abadie J (ed) Nonlinear programming. North-Holland, Amsterdam, pp 97–131 Wolfe P (1967) Methods of nonlinear programming. In: Abadie J (ed) Nonlinear programming. North-Holland, Amsterdam, pp 97–131
Zurück zum Zitat Wolfe P (1969) Convergence conditions for ascent methods. SIAM Rev 11(2):226–235CrossRef Wolfe P (1969) Convergence conditions for ascent methods. SIAM Rev 11(2):226–235CrossRef
Zurück zum Zitat Wolfe P (1970) Convergence theory in non-linear programming. In: Abadie J (ed) Integer and non-linear programming. North Holland, Amsterdam, pp 1–36 Wolfe P (1970) Convergence theory in non-linear programming. In: Abadie J (ed) Integer and non-linear programming. North Holland, Amsterdam, pp 1–36
Zurück zum Zitat Wolfe P (1971) Convergence conditions for ascent methods, II: some corrections. SIAM Rev 13(2):185–188CrossRef Wolfe P (1971) Convergence conditions for ascent methods, II: some corrections. SIAM Rev 13(2):185–188CrossRef
Zurück zum Zitat Wolfe P (1974) Note on a method of conjugate subgradients for minimizing nondifferentiable functions. Math Program 7(1):380–383CrossRef Wolfe P (1974) Note on a method of conjugate subgradients for minimizing nondifferentiable functions. Math Program 7(1):380–383CrossRef
Zurück zum Zitat Wolfe P (2009) Personal communication Wolfe P (2009) Personal communication
Zurück zum Zitat Wolfe P, Cutler L (1963) Experiments in linear programming. In: Graves R, Wolfe P (1963) (eds) Recent advances in mathematical programming. McGraw-Hill, New York, NY, pp 177–200 Wolfe P, Cutler L (1963) Experiments in linear programming. In: Graves R, Wolfe P (1963) (eds) Recent advances in mathematical programming. McGraw-Hill, New York, NY, pp 177–200
Metadaten
Titel
Philip Starr Wolfe
verfasst von
Alan J. Hoffman
Copyright-Jahr
2011
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4419-6281-2_34