Mathematical model for administration of web-conference distributed systems

The development of Web-technologies has led to the development of tools for distance technologies in education. Every year the market of web conferencing systems is replenished with both proprietary and freely distributed systems. The main «bottleneck» in conducting web conferencing is the server load, which can occur both in the insufficient server performance, and in the insufficient bandwidth of the Internet channel. In the article the Mathematical model of the distributed system with the addition of a distributor, the advantages of which are that the possible options are concealed from the user, and the system chooses the server itself, and the algorithm for choosing the «optimal» node in a distributed web conferencing system. The mathematical model of distributed web conferencing system allows describing the state of the system at any time in the form of a set of server characteristics, created webinars and client applications connected to them. A series of full-scale tests of the developed software complex, which manages web conferencing deployed in a cluster of three servers powered by IBM Lotus Sametime, was conducted. Model experiments of managing a distributed web conference system were conducted.