Linear programming and plastic limit analysis of structures
Authors:
W. S. Dorn and H. J. Greenberg
Journal:
Quart. Appl. Math. 15 (1957), 155-167
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/92465
MathSciNet review:
92465
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References |
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Additional Information
H. J. Greenberg and W. Prager, Limit design of beams and frames, Proc. ASCE 77, Sep. No. 59, (Feb. 1951)
A. Charnes and H. J. Greenberg, Plastic collapse and linear programming, abstract presented at Summer Meeting of Amer. Math. Soc., Sept. 1951
- C. E. Lemke, The dual method of solving the linear programming problem, Naval Res. Logist. Quart. 1 (1954), 36–47. MR 67582, DOI https://doi.org/10.1002/nav.3800010107
J. Nielsen, Vorlesungen über elementare Mechanik, Julius Springer, Berlin, 1935
H. J. Greenberg, paper presented at Second Symposium on Plasticity, Brown University, April 1949
- A. Charnes, W. W. Cooper, and A. Henderson, An introduction to linear programming, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0056263
- George B. Dantzig, Maximization of a linear function of variables subject to linear inequalities, Activity Analysis of Production and Allocation, Cowles Commission Monograph No. 13, John Wiley & Sons, Inc., New York, N. Y.; Chapman & Hall, Ltd., London, 1951, pp. 339–347. MR 0056260
A. Charnes and C. E. Lemke, Computational theory of linear programming I: The “Bounded variables” problem, ONR Research memorandum No. 10, Grad. School of Ind. Adm., Carnegie Inst. of Tech., Jan. 1954
- George B. Dantzig, Upper bounds, secondary constraints, and block triangularity in linear programming, Econometrica 23 (1955), 174–183. MR 70931, DOI https://doi.org/10.2307/1907876
- Kurt Eisemann, Linear programming, Quart. Appl. Math. 13 (1955), 209–232. MR 74102, DOI https://doi.org/10.1090/S0033-569X-1955-74102-9
William Orchard-Hays, The RAND code for the simplex method (SX4) (For the IBM 701 electronic computer), The RAND Corp., Research Memo. RM-1440 (7 Feb. 1955)
L. Wheaton Smith, Jr., Current status of the industrial use of linear programming, Management Science 2, No. 2, 156-158 (Jan. 1956)
H. J. Greenberg and W. Prager, Limit design of beams and frames, Proc. ASCE 77, Sep. No. 59, (Feb. 1951)
A. Charnes and H. J. Greenberg, Plastic collapse and linear programming, abstract presented at Summer Meeting of Amer. Math. Soc., Sept. 1951
C. E. Lemke, The dual method of solving the linear programming problem, Naval Research Logistics Quart. 1, No. 1, 36-47 (March 1954)
J. Nielsen, Vorlesungen über elementare Mechanik, Julius Springer, Berlin, 1935
H. J. Greenberg, paper presented at Second Symposium on Plasticity, Brown University, April 1949
A. Charnes, W. Cooper, and A. Henderson, Introduction to linear programming, John Wiley and Sons, 1953
G. B. Dantzig, “Maximization of a linear function of variables subject to linear inequalities", Chapter XXI of Activity analysis of production and allocation, Cowles Commission Monograph 13, John Wiley and Sons, 1951
A. Charnes and C. E. Lemke, Computational theory of linear programming I: The “Bounded variables” problem, ONR Research memorandum No. 10, Grad. School of Ind. Adm., Carnegie Inst. of Tech., Jan. 1954
George B. Dantzig, Upper bounds, secondary constraints, and block triangularity in linear programming, Econometrica 23, No. 2, 174-183 (April 1955)
K. Eisemann, Linear programming, Quart. Appl. Math. 13, No. 13, 209-232 (Oct. 1955)
William Orchard-Hays, The RAND code for the simplex method (SX4) (For the IBM 701 electronic computer), The RAND Corp., Research Memo. RM-1440 (7 Feb. 1955)
L. Wheaton Smith, Jr., Current status of the industrial use of linear programming, Management Science 2, No. 2, 156-158 (Jan. 1956)
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Article copyright:
© Copyright 1957
American Mathematical Society
