Abstract
The scaling of access control systems is usually done with respect to the life protection requirements regarding escape routes. At large headcount areas, the need for biometric identification arises from the security and business needs. Biometric systems can be characterized by probability variables, which can significantly affect the access process. Mathematically, access control is a discrete state space, stochastic process without memory, that can be described by a queue model. This study demonstrates the process model of access control systems and describes the mathematical model that allows for accurate planning and can ensure a successful introduction for access control systems.