Authors: G W Graves R D McBride
Publish Date: 1976/12/01
Volume: 10, Issue: 1, Pages: 91-110
Abstract
A unifying concept for largescale linear programming is developed This approach calledfactorization allows one to isolate the effect of different types of constraints and variables in the algebraic representation of the tableau Two different factorizations based on a double representation of the tableau are developed These factorizations are applied to obtain the essential structure of efficient algorithms for generalized upper bounding coupled blockdiagonal problems set partitioning LPs minimum cost network flows and other classes of problemsThis research was supported in part by the National Science Foundation and the Office of Naval Research An earlier version of this paper was presented at the Eighth International Symposium on Mathematical Programming Stanford University August 1973
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