Abstract-To accommodate spectrum access in multi-channel cognitive radio networks, channel assembling technique which combines several channels together as one channel has been proposed in many MAC protocols. However, analytical models for cognitive radio networks enabled with this technique have not been thoroughly investigated so far. In this paper, two representative channel assembling strategies are proposed considering spectrum adaptation and heterogeneous traffic, and the performance of these strategies is evaluated based on proposed continuous time Markov chain models. Moreover, approximations of these models in the quasi-stationary regime are analyzed and closedform capacity expressions are derived in different conditions. The performance of different strategies including the one without assembling is compared with each other based on the numerical results obtained from these models and validated by extensive simulations. Furthermore, simulation studies are also performed for other types of traffic distributions in order to evaluate the validity and the preciseness of the mathematical models. Through both analyses and simulations, we demonstrate that channel assembling represented by those investigated strategies can improve system performance if a proper strategy is selected with appropriate system parameter configurations.