Application of secure multi-party computation in linear programming

The existing solution to the privacy preserving linear programming, can leak the user's private data when the data is much less. In this paper, the secure multiparty computation is generalized to the problem of privacy-preserving linear programming, and we present a computing protocol of privacy-preserving linear programming. The protocol is applied to consider the problem of linear programming with less and vertically distributed data, not only the maximum value of the original linear programming can be calculated in the case having optimal solution, but also the private data of all participants can be protected in the calculation.