Component-based software development (CBSD) is an alternative approach to constructing software systems that offers numerous benefits, particularly in decreasing the complexity of system design. However, deploying components into a system is a challenging and error-prone task. Model-checking is one of the reliable methods to systematically analyze the correctness of a system. It is a bruce-force checking of the system's state space that assists to significantly expand the level of confidence in the system. Nevertheless, model-checking is limited by a critical problem called state-space explosion (SSE). To benefit from model-checking, an appropriate method is required to reduce SSE. In the past two decades, a great number of SSE reduction methods have been proposed containing many similarities, dissimilarities, and unclear concepts in some cases. This research, firstly, plans to present a review of SSE handling methods and classify them based on their similarities, principle, and characteristics. Second, it investigates the methods for handling the SSE problem in the verification process of CBSD and provides insight into the potential limitations, underlining the key challenges for future research efforts.