polymerization (FRP). However, because of the slow initiation, rapid propagation, and termination involving many different chain lengths, FRP is difficult to control over the polymer architectures and the minimum dispersity of the molar mass distribution is 2. [4,5] What's exciting is that controlled radical polymerization (also termed as reversible-deactivation radical polymerization (RDRP)) was discovered about two decades ago. [6,7] In most of RDRP systems, the initiation or degeneratively exchange is fast, propagation is relatively slow, and termination is suppressed per present chain, referring to the dominance of dormant chains in the final mixture. As a result, polymerization proceeds in a controlled manner, allowing one to prepare various well-defined block copolymers, stars, bottlebrushes, and hybrid materials. [6] Therefore, RDRP has attracted increasing interest from both academic and industrial fields. [8][9][10] Facing the increasing demand on high qualified and tailor-made polymeric materials, despite the technological promise, there are only limited products and investigations based on RDRP techniques at industrial scale. This can be attributed to the limited commercial RDRP agents Reversible-deactivation radical polymerization (RDRP) techniques have received lots of interest for the past 20 years, not only owing to their simple, mild reaction conditions and broad applicability, but also their accessibility to produce polymeric materials with well-defined structures. Modeling is widely applied to optimize the polymerization conditions and processes. In addition, there are numerous literatures on the kinetic and reactor models for RDRP processes, which show the accessibility on polymerization kinetics insight, process optimization, and controlling over chain microstructure with predetermined molecular weight and low dispersity, copolymer composition distribution, and sequence distribution. This review highlights the facility of the method of moments in the modeling field and presents a summary of the present state-of-the-art and future perspectives focusing on the model-based RDRP processes based on the method of moments. Summary on the current status and challenges is discussed briefly.in large quantities at reasonable costs and the extra cost of the polymer purification processes. [10] From the view point of chemical engineering, the productivity and quality of the polymer products, as well as the polymer chain composition and chain topology, are largely influenced by the engineering problems, such as micromixing, residence time distribution of reactor, mass and heat transfers. It normally takes a long time to obtain an optimized operation condition and products only through practices. The ongoing paradigm of polymerization processes begins to shift from process design and operation by experiments and empirical methods to one by the combination of experiments and mathematical models. [11,12] In order to speed up the industrialization of RDRP techniques, the polymerization engineers can take advant...