In this research, numerous commercial scenarios involving customers have seen the use of queuing theory. In order to foster client loyalty, the business offers a service facility and works to reduce expenses and time to a minimum. To find out how many clients there are and how long they wait, a service facility has to be studied. A control chart approach may be used to evaluate the effectiveness of concerns and the services they provide. A control chart that was created to track the length of time spent in the system gives customers peace of mind by indicating the minimum, maximum, and expected system size and reduction in waiting time. So we have created of a control chart for an MSMQEA (Multi Server Markovian Queuing Encouraged Arrival) with unlimited capacity is presented in this study. Numerical results, simulation and Little’s law also verified.