Integer and combinatorial optimization
Integer and combinatorial optimization
Investigating the sparse simplex algorithm on a distributed memory multiprocessor
Parallel Computing - High performance computing in operations research
Computational results with a primal-dual subproblem simplex method
Operations Research Letters
A parallel primal-dual simplex algorithm
Operations Research Letters
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The relaxation algorithm for linear programming is revised in this paper. Based on cluster structure, a parallel revised algorithm is presented. Its performance is analyzed. The experimental results on DAWNING 3000 are also given. Theoretical analysis and experimental results show that the revised relaxation algorithm improves the performance of the relaxation algorithm, and it has good parallelism and is very robust. Therefore, it can expect to be applied to the solution of the large-scale linear programming problems rising from practical application.