Abstract-Composition of web services has emerged as a fast growing field of research since an atomic service in its entirety is not capable to perform a specific task. Composition of web services is a process where a set of web services, heterogeneous in nature, are clubbed together in order to perform a specific task. Individually, Component web services may be performing well as far as Quality of Service (QoS) is concerned but the core issue is that while composing, do they satisfy Users requirements in terms of QoS? Computation of QoS while composing web services appears to be a big challenge. A lot of research work in this regard, has already been undertaken to come out with new, innovative and credible solutions for the same. This Paper presents a thorough review-study of different frameworks, architectures, methodologies and algorithms suggested by different researchers in their efforts to compute the overall QoS while composing web services. Moreover, Effectiveness of different methods in terms of QoS while composing is also presented.