Service window number real-time dynamic optimization method and queuing management system

The invention discloses a real-time dynamic optimization method for the number of service windows, which is used for managing a window queuing system and comprises the following steps of: acquiring an arrival rate lambda of a served object and a service rate mu of a single service window, setting any moment T, a queuing system state ST = i, setting the number of open windows as N, and setting the queuing system state ST + t = p (ji, lambda, mu, t, N) and P (ji, lambda, mu, t, N) after a time period t, the method comprises the following steps of: calculating a system control quantity according to a transition probability P (ji, lambda, mu, t, N) which is a transition probability P (ji, lambda, mu, t, N), comparing the system control quantity with a preset control threshold condition, and if the control threshold condition is not met and the number of open windows does not reach the maximum number of openable windows, determining that the number of the open windows is N + 1; and if the control threshold conditi