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Computational experience with advanced implementation of decomposition algorithms for linear programming

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Abstract

This paper reports computational experience with the codesDecompsx andLift which are built on IBM's MPSX/370 LP software for large-scale structured programs.Decompsx is an implementation of the Dantzig-Wolfe decomposition algorithm for block-angular LP's.Lift is an implementation of a nested decomposition algorithm for staircase and block-triangular LP's. A diverse collection of test problems drawn from real applications is used to test these codes, including multinational energy models and global economic models.

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Ho, J.K., Loute, E. Computational experience with advanced implementation of decomposition algorithms for linear programming. Mathematical Programming 27, 283–290 (1983). https://doi.org/10.1007/BF02591904

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