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Reduced gradient decomposition in multistage linear programming. (English) Zbl 0354.90054

MSC:

90C05 Linear programming
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[1] Dantzig, G. B.; Wolfe, P., Decomposition principle for linear programming, Operations Res., 8, 101-111 (1960) · Zbl 0093.32806
[2] Glassey, C. S., Nested decomposition and multistage linear programs, Managmt Sci., 20, 282-292 (1973) · Zbl 0313.90037
[3] Ho, J. K.; Manne, A. S., Nested decomposition for dynamic models, (Technical Report No. 96 (April 1973), Institute for Mathematical Studies in the Social Sciences, Stanford University: Institute for Mathematical Studies in the Social Sciences, Stanford University Stanford, CA)
[4] Tamura, H., Multistage linear programming for discrete optimal control problems with distributed lags, Automatica, 13 (1977), (this issue) · Zbl 0365.49007
[5] Wierzbicki, A. P., Methods of mathematical programming in Hilbert space, Control Cybernet., 2, 107-122 (1973) · Zbl 0345.90036
[6] Wolfe, P., Methods of nonlinear programming, (Abadie, J., Nonlinear Programming (1967), J. Wiley-Interscience: J. Wiley-Interscience New York) · Zbl 0178.22802
[7] Wierzbicki, A. P., Maksimum principle for processes with non-trivial control delay, Avtomatika Telemekh, no. 10, 13-20 (1970), (in Russian)
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