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On the complexity of linear programming. (English) Zbl 0735.90044
Advances in economic theory, Pap. World Congr. Econ. Soc., Cambridge/MA (USA) 1985, Econ. Soc. Monogr. 12, 225-268 (1989).

Summary: [For the entire collection see Zbl 0732.00024.]

This is a partial survey of results on the complexity of the linear programming problem since the ellipsoid method. The main topics are polynomial and strongly polynomial algorithms, probabilistic analysis of simplex algorithms, and recent interior point methods.

MSC:
90C05Linear programming
90C60Abstract computational complexity for mathematical programming problems
90-02Research monographs (optimization)