Abstract
Observers of operations research(OR) in the 1950s were faced with a curious phenomenon: While OR was established in some departments of industrial engineering and a few schools of business, it continued to be ignored by mainstream, scientifically oriented departments, especially mathematics departments. This seemed strange as OR rests heavily on aspects of both theoretical and applied mathematics. This explains how, in those days, Ralph Gomory, a student with both a B.A. (Williams College, 1950) and Ph.D. (Princeton University, 1954) in mathematics, could leave the academic environment without ever hearing of OR. Soon after, however, he was introduced to OR while on naval duty with the Office of Naval Research (ONR). He then worked for IBM’s Research Division, rising to the positions of Director of Research and Senior Vice-President for Science and Technology.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aráoz J, Evans L, Gomory RE, Johnson E (2003) Cyclic group and knapsack facets. Math Program Ser B 96(2):377–408
Courant R, Robbins H (1941) What is mathematics? Oxford University Press, New York, NY
Gilmore P, Gomory RE (1961) A linear programming approach to the cutting stock problem—part I. Oper Res 9(6):849–859
Gilmore P, Gomory RE (1963) A linear programming approach to the cutting stock problem—part II. Oper Res 11(6):863–888
Goldstine H (1987) Reflections on the early days of the department. IBM J Res Dev 31(2):154–157
Gomory RE (1955) Trajectories tending to a critical point in 3-Space. Ann Math Sec Ser 61(1):140–153
Gomory RE (1956) Critical points at infinity and forced oscillation. In: Lefschetz S (ed) Contributions to the theory of nonlinear oscillations, Annals of Mathematics Studies, vol. 3. No. 36, Princeton University Press, Princeton, NJ, pp 85–126
Gomory RE (1958) Outline of an algorithm for integer solutions to linear programs. Bull Am Math Soc 64(5):275–278
Gomory RE (1960) Solving linear programming problems in integers. Proc Symp Appl Math 10(July):211–215
Gomory RE (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 RE (1965) On the relation between integer and noninteger solutions to linear programs. Proc Natl Acad Sci 53:260–263
Gomory RE (1967) Faces of an integer polyhedron. Proc Natl Acad Sci 57(1):16–18
Gomory RE (1969) Some polyhedra related to combinatorial problems. Linear Algebra Appl 2(4):451–558
Gomory RE (1987) Science in industry. IBM J Res Dev 31(2):151–153
Gomory RE (1993) Let them eat chips. Bridge 23(4):13–16
Gomory RE (2002) Early integer programming. Oper Res 50(1):78–81
Gomory RE, Balinski M (1963) A mutual-primal-dual simplex method. In: Graves R, Wolfe P (eds) Recent advances in mathematical programming (Proceedings of the 1962 Symposium for Mathematical Programming), McGraw-Hill, New York, NY, pp 17–26
Gomory RE, Baumol W (1960) Integer programming and pricing. Econometrica 28(3):521–550
Gomory RE, Baumol W (2001) Global trade and conflicting national interests. MIT Press, Cambridge, MA
Gomory RE, Haas F (1955) A study of trajectories which tend to a limit cycle in three-space. Ann Math 62(1):152–161
Gomory RE, Hoffman A (1963) On the convergence of an integer-programming process. Nav Res Logistics Q 10(2):121–123
Gomory RE, Hu T (1961) Multi-terminal network flows. J Soc Ind Appl Math 9(4):551–570
Gomory RE, Hu T (1962) An application of generalized linear programming to network flows. J Soc Indust Appl Math 10(2):260–283
Gomory RE, Johnson E (1973) The group problems and subadditive functions. In: Hu T, Robinson R (eds) Mathematical programming. Academic, New York, NY, pp 157–184
Gomory RE, Johnson E (2003) T-space and cutting planes. Math Program Ser B 96(2):341–375
Gomory RE, Johnson E, Evans L (2003) Corner polyhedra and their connection with cutting planes. Math Program Ser B 96(2):321–339
Gomory RE, Richmond D (1951) Boundaries for the limit cycle of Van der Pol’s equation. Q Appl Math 9(2):205–209
Johnson E (1974) On the group problem for mixed integer programming. In: Balinski ML (ed) Math Program Study 2:137–179
Johnson E (2005) IFORS’ operational research hall of fame: Ralph E. Gomory. Int Trans Oper Res 12(5):539–543
Land A, Doig A (1960) An automatic method for solving discrete programming problems. Econometrica 28(3):497–520
MIT Press (2009) http://mitpress.mit.edu/catalog/item/default.asp?ttype=2&tid=3682. Accessed 25 Jan 2009
National Science Foundation (1988) The President’s National Medal of Science: Recipient details. http://www.nsf.gov/od/nms/recip_details.cfm?recip_id=144. Accessed 27 Jan 2009
Paull A (1956) A key to optimum newsprint production. Pulp Paper Mag Can 57(4):145–150
Van der Pol B, van der Mark J (1928) The heartbeat considered as a relaxation oscillation, and an electrical model of the heart. Lond Edin Dublin Phil Mag J 7(6):763–765
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Johnson, E.L. (2011). Ralph E. Gomory. 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_38
Download citation
DOI: https://doi.org/10.1007/978-1-4419-6281-2_38
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-6280-5
Online ISBN: 978-1-4419-6281-2
eBook Packages: Business and EconomicsBusiness and Management (R0)