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Cognitive Radio (CR) is an emerging and promising technology which is predicted to solve the problem of spectrum shortage by utilization of the spectrum efficiently by exploiting the licensed spectrum white spaces. Video on demand (VoD) is a very popular present day service. It is a well-known fact, that video on demand internet service needs a large amount of bandwidth. CR WMNs is envisaged to provide the much needed bandwidth for video streaming as CR WMNs has the ability to access a large part of the under-utilized licensed spectrum. In CR WMNs interference is a critical issue which degrades cognitive radio wireless mesh networks (CR WMNs) performance. As the number of users rises, interference also increases resulting in low throughput. In this paper first an analytical model for CR WMNs has been presented. We have also presented an efficient VoD model and an optimizing approach which minimizes interference to provide a much needed higher network capacity to VoD services. Simulation results show effectiveness of our proposed approach as there is an increase in the number of concurrent VoD sessions. [ABSTRACT FROM PUBLISHER]