A distributed simplex algorithm for degenerate linear programs and multi-agent assignments

@article{Brger2012ADS,
  title={A distributed simplex algorithm for degenerate linear programs and multi-agent assignments},
  author={Mathias B{\"u}rger and Giuseppe Notarstefano and Francesco Bullo and Frank Allg{\"o}wer},
  journal={Automatica},
  year={2012},
  volume={48},
  pages={2298-2304}
}
In this paper we propose a novel distributed algorithm to solve degenerate linear programs on asynchronous peer-to-peer networks with distributed information structures. We propose a distributed version of the well-known simplex algorithm for general degenerate linear programs. A network of agents, running our algorithm, will agree on a common optimal solution, even if the optimal solution is not unique, or will determine infeasibility or unboundedness of the problem. We establish how the multi… CONTINUE READING
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