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## Gomory, Ralph E.

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 Author ID: gomory.ralph-e Published as: Gomory, R.; Gomory, R. E.; Gomory, Ralph; Gomory, Ralph E. External Links: MGP · Wikidata · GND
 Documents Indexed: 43 Publications since 1951 Biographic References: 1 Publication
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#### Co-Authors

 19 single-authored 6 Gilmore, Paul C. 6 Johnson, Ellis L. 4 Hu, Tongchun 2 Baumol, William J. 2 Evans, Lisa 2 Hoffman, Alan J. 1 Araoz, Julian 1 Balinski, Michel Louis 1 Haas, Felix 1 Hsu, Nai-Chao 1 Hu, Te-Chiang 1 Richmond, Donald E. 1 Yohe, J. Michael
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#### Serials

 6 Operations Research 5 Proceedings of the National Academy of Sciences of the United States of America 3 Mathematical Programming. Series A. Series B 3 Journal of the Society for Industrial & Applied Mathematics 2 Mathematical Programming 2 Annals of Mathematics. Second Series 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Econometrica 1 Journal of Economic Theory 1 Quarterly of Applied Mathematics 1 Annals of Operations Research 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society 1 Naval Research Logistics Quarterly 1 Annals of Mathematics Studies
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#### Fields

 23 Operations research, mathematical programming (90-XX) 5 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 2,041 times in 1,322 Documents Cited by Year
A linear programming approach to the cutting-stock problem. Zbl 0096.35501
Gilmore, P. C.; Gomory, R. E.
1961
A linear programming approach to the cutting stock problem. II. Zbl 0124.36307
Gilmore, P. C.; Gomory, R. E.
1963
Multistage cutting stock problems of two and more dimensions. Zbl 0128.39601
Gilmore, P. C.; Gomory, R. E.
1965
Multi-terminal networks flows. Zbl 0112.12405
Gomory, R. E.; Hu, T. C.
1961
Some polyhedra related to combinatorial problems. Zbl 0184.23103
Gomory, R. E.
1969
Outline of an algorithm for integer solutions to linear programs. Zbl 0085.35807
Gomory, Ralph E.
1958
The theory and computation of knapsack functions. Zbl 0173.21502
Gilmore, P. C.; Gomory, R. E.
1967
Sequencing a one state-variable machine: a solvable case of the traveling salesman problem. Zbl 0126.36006
Gilmore, P.; Gomory, R.
1964
Some continuous functions related to corner polyhedra. Zbl 0246.90029
Gomory, Ralph E.; Johnson, Ellis L.
1972
Integer programming and pricing. Zbl 0095.14502
Gomory, Ralph E.; Baumol, William J.
1960
Some continuous functions related to corner polyhedra. II. Zbl 0254.90036
Gomory, Ralph E.; Johnson, Ellis L.
1972
On the relation between integer and noninteger solutions to linear programs. Zbl 0132.13702
Gomory, R. E.
1965
An algorithm for integer solutions to linear programs. Zbl 0235.90038
Gomory, Ralph E.
1963
T-space and cutting planes. Zbl 1082.90144
Gomory, Ralph E.; Johnson, Ellis L.
2003
Corner polyhedra and their connection with cutting planes. Zbl 1082.90145
Gomory, Ralph E.; Johnson, Ellis L.; Evans, Lisa
2003
Solving linear programming problems in integers. Zbl 0096.14505
Gomory, R. E.
1960
Cyclic group and knapsack facets. Zbl 1082.90094
Aráoz, Julián; Evans, Lisa; Gomory, Ralph E.; Johnson, Ellis L.
2003
An application of generalized linear programming to network flows. Zbl 0105.12805
Gomory, R. E.; Hu, T. C.
1962
Faces of an integer polyhedron. Zbl 0208.21607
Gomory, R. E.
1968
Synthesis of a communication network. Zbl 0222.94003
Gomory, R. E.; Hu, T. C.
1964
Large and nonconvex problems in linear programming. Zbl 0129.34101
Gomory, R. E.
1963
Faces of an integer polyhedron. Zbl 0208.21606
Gomory, R. E.
1967
Trajectories tending to a critical point in 3-space. Zbl 0068.29703
Gomory, Ralph E.
1955
Critical points at infinity and forced oscillation. Zbl 0071.08801
Gomory, Ralph E.
1956
A mutual primal-dual simplex method. Zbl 0223.90016
Balinski, Michel L.; Gomory, Ralph E.
1963
On the convergence of an integer-programming process. Zbl 0114.36201
Gomory, R. E.; Hoffman, A. J.
1963
The atoms of integer programming. Zbl 1213.90020
Gomory, Ralph E.
2007
The group problems and subadditive functions. Zbl 0274.90030
Gomory, Ralph E.; Johnson, Ellis L.
1973
A solvable case of the traveling salesman problem. Zbl 0116.25001
Gilmore, P. C.; Gomory, R. E.
1964
Origin and early evolution of corner polyhedra. Zbl 1346.90613
Gomory, Ralph
2016
Early integer programming. Zbl 1163.90663
Gomory, Ralph E.
2002
Some polyhedra related to combinatorial problems. Zbl 0245.90019
Gomory, R. E.
1970
“Outline of an algorithm for integer solutions to linear programs” and “An algorithm for the mixed integer problem”. Zbl 1187.90011
Gomory, Ralph E.
2010
Properties of a class of integer polyhedra. Zbl 0334.90040
Gomory, R. E.
1970
On the relation between integer and noninteger solutions to linear programm. Zbl 0209.51103
Gomory, R. E.
1968
Boundaries for the limit cycle of van der Pol’s equation. Zbl 0043.12504
Gomory, R.; Richmond, D. E.
1951
Origin and early evolution of corner polyhedra. Zbl 1346.90613
Gomory, Ralph
2016
“Outline of an algorithm for integer solutions to linear programs” and “An algorithm for the mixed integer problem”. Zbl 1187.90011
Gomory, Ralph E.
2010
The atoms of integer programming. Zbl 1213.90020
Gomory, Ralph E.
2007
T-space and cutting planes. Zbl 1082.90144
Gomory, Ralph E.; Johnson, Ellis L.
2003
Corner polyhedra and their connection with cutting planes. Zbl 1082.90145
Gomory, Ralph E.; Johnson, Ellis L.; Evans, Lisa
2003
Cyclic group and knapsack facets. Zbl 1082.90094
Aráoz, Julián; Evans, Lisa; Gomory, Ralph E.; Johnson, Ellis L.
2003
Early integer programming. Zbl 1163.90663
Gomory, Ralph E.
2002
The group problems and subadditive functions. Zbl 0274.90030
Gomory, Ralph E.; Johnson, Ellis L.
1973
Some continuous functions related to corner polyhedra. Zbl 0246.90029
Gomory, Ralph E.; Johnson, Ellis L.
1972
Some continuous functions related to corner polyhedra. II. Zbl 0254.90036
Gomory, Ralph E.; Johnson, Ellis L.
1972
Some polyhedra related to combinatorial problems. Zbl 0245.90019
Gomory, R. E.
1970
Properties of a class of integer polyhedra. Zbl 0334.90040
Gomory, R. E.
1970
Some polyhedra related to combinatorial problems. Zbl 0184.23103
Gomory, R. E.
1969
Faces of an integer polyhedron. Zbl 0208.21607
Gomory, R. E.
1968
On the relation between integer and noninteger solutions to linear programm. Zbl 0209.51103
Gomory, R. E.
1968
The theory and computation of knapsack functions. Zbl 0173.21502
Gilmore, P. C.; Gomory, R. E.
1967
Faces of an integer polyhedron. Zbl 0208.21606
Gomory, R. E.
1967
Multistage cutting stock problems of two and more dimensions. Zbl 0128.39601
Gilmore, P. C.; Gomory, R. E.
1965
On the relation between integer and noninteger solutions to linear programs. Zbl 0132.13702
Gomory, R. E.
1965
Sequencing a one state-variable machine: a solvable case of the traveling salesman problem. Zbl 0126.36006
Gilmore, P.; Gomory, R.
1964
Synthesis of a communication network. Zbl 0222.94003
Gomory, R. E.; Hu, T. C.
1964
A solvable case of the traveling salesman problem. Zbl 0116.25001
Gilmore, P. C.; Gomory, R. E.
1964
A linear programming approach to the cutting stock problem. II. Zbl 0124.36307
Gilmore, P. C.; Gomory, R. E.
1963
An algorithm for integer solutions to linear programs. Zbl 0235.90038
Gomory, Ralph E.
1963
Large and nonconvex problems in linear programming. Zbl 0129.34101
Gomory, R. E.
1963
A mutual primal-dual simplex method. Zbl 0223.90016
Balinski, Michel L.; Gomory, Ralph E.
1963
On the convergence of an integer-programming process. Zbl 0114.36201
Gomory, R. E.; Hoffman, A. J.
1963
An application of generalized linear programming to network flows. Zbl 0105.12805
Gomory, R. E.; Hu, T. C.
1962
A linear programming approach to the cutting-stock problem. Zbl 0096.35501
Gilmore, P. C.; Gomory, R. E.
1961
Multi-terminal networks flows. Zbl 0112.12405
Gomory, R. E.; Hu, T. C.
1961
Integer programming and pricing. Zbl 0095.14502
Gomory, Ralph E.; Baumol, William J.
1960
Solving linear programming problems in integers. Zbl 0096.14505
Gomory, R. E.
1960
Outline of an algorithm for integer solutions to linear programs. Zbl 0085.35807
Gomory, Ralph E.
1958
Critical points at infinity and forced oscillation. Zbl 0071.08801
Gomory, Ralph E.
1956
Trajectories tending to a critical point in 3-space. Zbl 0068.29703
Gomory, Ralph E.
1955
Boundaries for the limit cycle of van der Pol’s equation. Zbl 0043.12504
Gomory, R.; Richmond, D. E.
1951
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#### Cited by 1,875 Authors

 28 Cornuéjols, Gérard P. 23 Scheithauer, Guntram 21 Basu, Amitabh 20 Johnson, Ellis L. 16 Wolsey, Laurence Alexander 15 Arenales, Marcos Nereu 15 Cui, Yaodong 14 Lodi, Andrea 13 Dey, Santanu S. 13 Hifi, Mhand 13 Köppe, Matthias 12 Balas, Egon 12 Günlük, Oktay 12 Sriskandarajah, Chelliah 12 Valério de Carvalho, José Manuel 11 Conforti, Michele 11 Dash, Sanjeeb 11 Fischetti, Matteo 11 Ibaraki, Toshihide 10 Glover, Fred W. 10 Iori, Manuel 10 Jeroslow, Robert G. 10 Morabito, Reinaldo 10 Yanasse, Horacio Hideki 9 Martinovic, John 9 Pokutta, Sebastian 9 Weismantel, Robert 8 Alves, Cláudio 8 Chandrasekaran, Ramaswamy 8 Desaulniers, Guy 8 Dovgoshey, Oleksiy Alfredovich 8 Jörnsten, Kurt O. 8 Soumis, François 8 Wäscher, Gerhard 7 Blair, Charles E. 7 Clautiaux, François 7 Cook, William John 7 Di Summa, Marco 7 Farley, Alan A. 7 Fukasawa, Ricardo 7 Gradišar, Miro 7 Hanafi, Saïd 7 Kabadi, Santosh Narayan 7 Letchford, Adam N. 7 Margot, François 7 Molinaro, Marco 7 Monaci, Michele 7 Nagamochi, Hiroshi 7 Padberg, Manfred W. 7 Terno, Johannes 7 Toth, Paolo 7 Zhou, Yuan 6 Aneja, Yash P. 6 Atamtürk, Alper 6 Chopra, Sunil 6 Dell’Amico, Mauro 6 Desrosiers, Jacques 6 Elhallaoui, Issmail 6 Fréville, Arnaud 6 Hildebrand, Robert 6 Knust, Sigrid 6 Li, Yanjun 6 Martello, Silvano 6 Minoux, Michel Andre 6 Petrov, Evgenii Aleksandrovich 6 Prokopyev, Oleg Alexan 5 Arbib, Claudio 5 Bonami, Pierre 5 Briskorn, Dirk 5 Cheng, Tai-Chiu Edwin 5 Gomory, Ralph E. 5 Grötschel, Martin 5 Haessler, Robert W. 5 Hamacher, Horst W. 5 Hassin, Refael 5 Kartak, Vadim M. 5 Kianfar, Kiavash 5 Louveaux, Quentin 5 Malaguti, Enrico 5 Marinelli, Fabrizio 5 Nair, K. P. K. 5 Nemhauser, George L. 5 Paat, Joseph S. 5 Raidl, Günther R. 5 Rietz, Jürgen 5 Schaefer, Andrew J. 5 Shim, Sangho 5 Vielma, Juan Pablo 5 Waldherr, Stefan 5 Williams, H. Paul 5 Zambelli, Giacomo 4 Aliev, Iskander M. 4 Araoz, Julian 4 Austin, Larry M. 4 Belov, G. N. 4 Ben-Ameur, Walid 4 Berthomé, Pascal 4 Boysen, Nils 4 Burkard, Rainer E. 4 Caprara, Alberto ...and 1,775 more Authors
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#### Cited in 167 Serials

 257 European Journal of Operational Research 113 Mathematical Programming. Series A. Series B 109 Computers & Operations Research 69 Discrete Applied Mathematics 58 Operations Research Letters 54 Annals of Operations Research 42 Mathematical Programming 39 Discrete Optimization 21 Journal of Scheduling 20 International Journal of Production Research 17 International Transactions in Operational Research 15 Discrete Mathematics 15 Mathematical Programming Computation 14 Mathematical and Computer Modelling 13 Information Processing Letters 13 Algorithmica 12 INFORMS Journal on Computing 12 Optimization Letters 11 Optimization 10 Journal of Optimization Theory and Applications 10 Journal of Global Optimization 10 OR Spectrum 9 Mathematics of Operations Research 9 Linear Algebra and its Applications 8 Theoretical Computer Science 8 Applied Mathematical Modelling 8 SIAM Journal on Optimization 7 Networks 7 OR Spektrum 7 Zeitschrift für Operations Research. Serie A: Theorie 7 Journal of Heuristics 7 RAIRO. Operations Research 7 4OR 6 Journal of the Franklin Institute 6 Journal of Mathematical Analysis and Applications 6 Asia-Pacific Journal of Operational Research 6 Top 5 Applied Mathematics and Computation 5 Information Sciences 5 Journal of Differential Equations 5 Naval Research Logistics 5 Computational Optimization and Applications 5 Mathematical Methods of Operations Research 5 Journal of Combinatorial Optimization 5 Naval Research Logistics Quarterly 5 Unternehmensforschung 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 4 Computers & Mathematics with Applications 4 Journal of Computational and Applied Mathematics 4 Operations Research 4 SIAM Journal on Computing 4 SIAM Journal on Algebraic and Discrete Methods 4 Combinatorica 4 CEJOR. Central European Journal of Operations Research 4 EURO Journal on Computational Optimization 3 Artificial Intelligence 3 Computing 3 Statistica Neerlandica 3 Cybernetics 3 European Journal of Combinatorics 3 Graphs and Combinatorics 3 SIAM Journal on Discrete Mathematics 3 ZOR. Zeitschrift für Operations Research 3 Optimization Methods & Software 3 JMMA. Journal of Mathematical Modelling and Algorithms 3 Journal of Discrete Algorithms 3 Pesquisa Operacional 3 Computer Science Review 2 International Journal of Mathematical Education in Science and Technology 2 Advances in Mathematics 2 Aplikace Matematiky 2 Archiv der Mathematik 2 Calcolo 2 Journal of Mathematical Psychology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Opsearch 2 Moscow University Computational Mathematics and Cybernetics 2 Social Choice and Welfare 2 Trabajos de Investigacion Operativa 2 International Journal of Computer Mathematics 2 Journal of Mathematical Sciences (New York) 2 Theory of Computing Systems 2 Journal of Interdisciplinary Mathematics 2 Optimization and Engineering 2 Journal of Applied Mathematics 2 International Journal of Intelligent Computing and Cybernetics 2 SIAM Journal on Applied Algebra and Geometry 1 Acta Informatica 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 International Journal of Systems Science 1 Mathematical Biosciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Metrika 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Automatica 1 BIT 1 Fuzzy Sets and Systems ...and 67 more Serials
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#### Cited in 34 Fields

 1,178 Operations research, mathematical programming (90-XX) 144 Computer science (68-XX) 116 Combinatorics (05-XX) 94 Numerical analysis (65-XX) 51 Convex and discrete geometry (52-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 History and biography (01-XX) 15 Ordinary differential equations (34-XX) 13 Number theory (11-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Mathematical logic and foundations (03-XX) 10 General topology (54-XX) 10 Information and communication theory, circuits (94-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistics (62-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 3 Group theory and generalizations (20-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)

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