A method is disclosed for call and/or connection acceptance control and the optimal delivery of multimedia (audio/video) data over networks. This method involves the establishment and monitoring of certain criteria which may be used to maximize the number of simultaneous clients without sacrificing quality-of-service for already-connected clients. Methods are disclosed for maximizing total throughput as well as maximum charge models for different levels of service. The disclosed methods solve these optimization problems by expanding on linear-program techniques in manners geared towards multimedia content delivery over networks and many variations suitable for varying business models are disclosed.