A Comparative study for Enlightening Library Service Efficiency through Queuing Models

Library systems are the most crucial and important part for any academic organization. In recent days Libraries find it increasingly hard to coordinate service demand and resource scarcity. Queue management inefficiencies tend to result in long queues, reduced patron satisfaction, and underutilized resources. This study is a comparative queuing model research—M/M/1, M/M/c, M/D/1, and priority queues—and their applications in libraries. By taking a modeling and simulation research approach, the study analyzes service distribution effectiveness at the component level of the following elements: circulation service desks, gate control systems, self-service stations, and digital services. The conclusions are that multi-server (M/M/c) and priority queuing systems significantly reduce queues, and deterministic service systems (M/D/1) enhance automated kiosk effectiveness. The study offers a foundation for hybrid queuing research methodologies that enhance library service efficiency and patron experience.