Electronic Product Code Discovery Service (EPCDS) is an important concept in supply chain processes and in Internet of Things (IOT). It allows supply chain participants to search for their partners, communicate with them and share product information using standardized interfaces securely. Many researchers have been proposing different EPCDS models, considering different requirements. In this paper, we describe existing architecture designs of EPCDS systems, namely Directory Service Model, Query Relay Model and Aggregating Discovery Service Model (ADS). We also briefly mention Secure Discovery Service (SecDS) Model, which is an improved version of Directory Service Model with a secure attribute-based access control mechanism. Then, we analyze the strengths and limitations of these models, by comparing based on non-functional features such as data ownership, confidentiality, business relationship independence, availability, reliability, implementation complexity, visibility, and scalability. From the analysis results, we have a better understanding of which model is more suitable in what kinds of situations or scenarios. Moreover, we suggest possible improvements and identify possible future add-on applications to SecDS model in the paper.