12.3 Single-Channel Queuing Model with Poisson Arrivals and Exponential Service Times (M/M /1)
In this section, we present an analytical approach to determine important measures of performance in a typical service system. After these numeric measures have been computed, it will be possible to add in cost data and begin to make decisions that balance desirable service levels with waiting line service costs.
Assumptions of the Model
The single-channel, single-phase model considered here is one of the most widely used and simplest queuing models. It involves assuming that seven conditions exist:
Arrivals are served on a FIFO basis.
Every arrival waits to be served, regardless of the length of the line; that is, there is no balking or reneging. ...
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