Waiting time approximation in multi-class queueing systems with multiple types of class-dependent interruptions

We consider a single-server queue subject to multiple types of operation-independent and class-dependent interruptions motivated by operations and vessel queueing at entrances of waterways. A case in point is the Istanbul Strait. We are using waiting-time arguments and service completion time analysis to obtain the expected waiting time of a customer (vessel) in the aforementioned queue with two classes of customers and k possibly simultaneous and class-dependent service interruptions. In this paper, we generalize the queueing model with multiple types of class-independent interruptions presented in the previous work and consider class-dependent service interruptions.