• Corpus ID: 119176773

Solving Splitted Multi-Commodity Flow Problem by Efficient Linear Programming Algorithm

  title={Solving Splitted Multi-Commodity Flow Problem by Efficient Linear Programming Algorithm},
  author={Liyun Dai and Hengjun Zhao and Zhiming Liu},
  journal={arXiv: Optimization and Control},
Column generation is often used to solve multi-commodity flow problems. A program for column generation always includes a module that solves a linear equation. In this paper, we address three major issues in solving linear problem during column generation procedure which are (1) how to employ the sparse property of the coefficient matrix; (2) how to reduce the size of the coefficient matrix; and (3) how to reuse the solution to a similar equation. To this end, we first analyze the sparse… 

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