Final answer:
The Online Library System is best suited for a Centralized architecture due to a single Database Server centralizing the data and processes, analogous to a unitary government. The Train management system aligns with a De-centralized or Hybrid architecture because of the distributed responsibilities among different computers, resembling a federal or confederate system.
Step-by-step explanation:
For the Online Library System, a Centralized architecture seems most suitable due to its single Database Server where the records of books are maintained. This architecture allows for easier maintenance of data, coherent policies, and less contradictory information. The processing and searching features dependent on the Application Server suggest a model that relies on a central hub for significant activities, mirroring the benefits and drawbacks of a unitary system of government.
On the other hand, the Train management system is inherently distributed across various types of computers, each performing specialized tasks such as providing information, maintaining databases, and processing reservations. A De-centralized or Hybrid architecture would be more appropriate here. The distribution resembles a federal or confederate government system where decentralization allows for closer attention to local needs, less chance of tyranny, but could present challenges in terms of resource allocation and potential power struggles among the different nodes.