iPOP with Majorization Ordered Objectives in Privacy and Security

Integer partial order programming (iPOP) with ma-jorization ordered objectives has received attention in multi-agent cooperation, electric vehicle charging, and portfolio optimization. This paper presents an innovative expansion of majorization-related iPOP applications into privacy and security. Two basic iPOP problems in our prior work are revisited for the private transmission and secure storage of a confidential file. When a new confidential file arrives with additional resources, advanced iPOP problems are formulated, which are shown to be addressed by solving two sequential basic iPOP problems. Through this initiative, we aspire to stimulate the comprehensive utilization of majorization-related POP across a broader spectrum of resource allocation scenarios.