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- W1965387614 abstract "This note presents a technique for improving the computational efficiency of both triangular crash and primal linear programming algorithms. Triangular crashing is a specialized iterative technique often used to produce a good starting basis for solving linear programming problems. It gains speed by omitting part of the Simplex process but requires that ensuing incoming vectors have zero valued updated elements on previous pivot positions—hence triangular. If a non-trivial basis exists, there is a substantial wasted effort in updating candidates which subsequently fail the triangularity test. This note contains a computationally more efficient triangular crashing algorithm, included in the LP2900 code, which detects non-triangularity without updating, enabling it to be used with a non-trivial basis. It is indicated that incorporating this algorithm into the primal iterative cycle just prior to reinversion will reduce the average time per iteration for the primal phase." @default.
- W1965387614 created "2016-06-24" @default.
- W1965387614 creator A5084120221 @default.
- W1965387614 date "1979-05-01" @default.
- W1965387614 modified "2023-09-24" @default.
- W1965387614 title "Improvements in the Linear Programming Iterative Algorithm" @default.
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- W1965387614 doi "https://doi.org/10.1057/jors.1979.109" @default.
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