The complexity of today's supply chain systems has increased as a result of technological breakthroughs and the changing nature of consumer demand. It's getting more difficult to solve supply chain issues. Appropriate supply chain modeling is needed for supply network analysis. Experts have proposed a number of different modeling approaches for the supply chain system. Supply chain system performance models can be in the form of discrete simulation or mathematical models based on the concept of queuing theory. Although it is an approach technique, the decomposition method will facilitate the completion of complex system analysis. The results of the decomposition will bring up various forms of single stage queue subsystems. In this paper, a qualitative overview is expressed on this topic in the hope that it will provide benefits in providing a description of how a complex supply chain can be modeled with a simple method. An example of a complex supply chain system consisting of two suppliers, one factory, two distribution centers, each of which has two channels and one retailer channel, is used as a case in this paper. This paper will summarize several single queuing systems as a result of the decomposition of complex supply chain systems.