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Generalized Benders decomposition. (English) Zbl 0229.90024


MSC:

90C05 Linear programming
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[1] Geoffrion, A. M.,Elements of Large-Scale Mathematical Programming, Management Science, Vol. 16, No. 11, 1970. · Zbl 0209.22801
[2] Benders, J. F.,Partitioning Procedures for Solving Mixed-Variables Programming Problems, Numerische Mathematik, Vol. 4, 1962. · Zbl 0109.38302
[3] Wilson, R. Programming Variable Factors, Management Science, Vol. 13, No. 1, 1966. · Zbl 0143.42201
[4] Balas, E.,Duality in Discrete Programming: IV. Applications, Carnegie-Mellon University, Graduate School of Industrial Administration, Report No. 145, 1968.
[5] Meyer, R.,The Validity of a Family of Optimization Methods, SIAM Journal on Control, Vol. 8, No. 1, 1970. · Zbl 0194.20501
[6] Dantzig, G. B.,Linear Programming and Extensions, Princeton University Press, Princeton, New Jersey, 1963. · Zbl 0108.33103
[7] Geoffrion, A. M.,Primal Resource-Directive Approaches for Optimizing Nonlinear Decomposable Systems, Operations Research, Vol. 18, No. 3, 1970. · Zbl 0201.22301
[8] Hogan, W.,Application of a General Convergence Theory for Outer Approximation Algorithms, University of California at Los Angeles, Western Management Science Institute, Working Paper No. 174, 1971.
[9] Eaves, B. C., andZangwill, W. I.,Generalized Cutting Plane Algorithms, SIAM Journal on Control, Vol. 9, No. 4, 1971.
[10] Geoffrion, A. M.,A New Global Optimization Technique for Gaseous Diffusion Plant Operation and Capital Investment, University of California at Los Angeles, Graduate School of Business Administration, Discussion Paper, 1970.
[11] Geoffrion, A. M.,Duality in Nonlinear Programming: A Simplified Application-Oriented Development, SIAM Review, Vol. 13, No. 1, 1971. · Zbl 0232.90049
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