查看文章

Since many real-world queueing systems are meant to incorporate heterogeneous customers, the analysis of multi-class queueing models has been an area of active research. A review of the associated models shows, however, that multi-class queueing systems in which service times depend on the presence of one certain class of customers have not yet been extensively analyzed. To address this research gap, we consider an infinite-capacity single-server discrete-time queueing system with two classes of customers (say class-1 and class-2). We assume that the scheduling discipline in our work is FCFS. We assume that if we have at least one class-2 customer during an ongoing busy period (until the system becomes empty), the service time distributions of all the customers change to the service time distribution of a class-2 customer. By further considering the number of customer arrivals of each class to be …