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Ubiquitous and efficient multicast data delivery service is essential to the success of large-scale group communication applications. In this framework, congestion control through ubiquitous networks is a hot topic for multicast real time protocols. In this paper, authors present specification and implementation of simulate TCP's AIMD with rate-based (STAIR), a multicast congestion control mechanism. Authors have enhanced this approach because they have modeled it using Unified Modeling Language with real time extensions (UML-RT) as a formal specification tool. More to the point point, they introduce a multimedia ubiquitous network which they have used as a reference model to promote their contribution. Results conclude that author's implementation offers fine reception rate using real time configuration methods successfully through ubiquitous networks.