The final necessary assumption relates to the queue discipline. In this regard, two options have been popularized in the development of queuing models: first- in, first-out (FIFO), indicating that the first vehicle to arrive is the first to depart, and last-in, first-out (LIFO), indicating that the last vehicle to arrive is the first to depart. For virtually all traffic-oriented queues, the FIFO queuing discipline is the more appropriate of the two.
Queuing models are often identified by three alphanumeric values. The first value indicates the arrival rate assumption, the second value gives the departure rate assumption, and the third value indicates the number of departure channels. For traffic arrival and departure assumptions, the uniform, deterministic distribution is denoted D and the exponential distribution is denoted M. Thus a D/D/1 queuing model assumes deterministic arrivals and departures with one departure channel. Similarly, an M/D/1 queuing model assumes exponentially distributed arrival times, deterministic departure times, and one departure channel.
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