Question

For an M/M/2/∞ FCFS queueing system, derive the system of differential-difference
equations for the system size probabilities. Under steady-state condition, obtain
the steady-state probabilities of the system size and the mean number of customers
in the system.

Answer 1

Answer:

2.1.6 The queue discipline

The queue discipline indicates the manner in which the units are taken for service. The usual queue discipline is first come, first served, or FCFS (first in first out, FIFO), though sometimes there are other service disciplines, such as last come, first served (which happens sometimes in case of messages) or service in random order.

When arrivals occur in batches and service is offered individually, then the manner in which customers arriving in a batch are arranged for service is also to be indicated.

There are also such disciplines as processor-sharing, usually adopted in computer systems with a number of terminals.