Hiccups on the road to privacy-preserving linear programming
Proceedings of the 8th ACM workshop on Privacy in the electronic society
Efficient distributed linear programming with limited disclosure
DBSec'11 Proceedings of the 25th annual IFIP WG 11.3 conference on Data and applications security and privacy
Privacy-preserving and verifiable protocols for scientific computation outsourcing to the cloud
Journal of Parallel and Distributed Computing
Secure and efficient distributed linear programming
Journal of Computer Security - DBSec 2011
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Linear programming is one of the most widely applied solutions to optimization problems. This paper presents a privacy-preserving solution to linear programming for two parties when the cost, or objective, function is known only to one party, and the constraint equations are known only to the other party. An algorithm based on Revised Simplex is given that ensures that neither party gains access to the other’s private information. While this has been proposed before, our solution is significantly more efficient for the given data distribution. This enables collaboration among companies in many domains, enhancing efficiency while maintaining competitiveness.