M/M/1 queue

An M/M/1 queue is a simple model used to analyze how customers or tasks wait for service in a system with one server. "M/M/1" indicates that both arrivals and service times happen randomly but follow a specific statistical pattern called the exponential distribution. Customers arrive randomly over time, and the server processes each one individually. If the system is busy, new arrivals wait in line. This model helps predict things like average waiting times, queue length, and system efficiency, useful for designing and managing service systems such as banks, call centers, or computer servers.