Tandem Queueing System with Different Types of Customers

A dual tandem consisting of multi-server queueing systems without buffers is considered. Customers of two types arrive to Station 1 in the MMAP (Marked Markovian Arrival Process). The first type customers aim to be served at Station 1 only while the second type customers should be served at both stations. The stationary distribution of the system states and the main performance measures of the tandem queue under consideration are calculated. Illustrative numerical examples are presented.