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Waiting line equations, for the most part, require an arrival rate or the number of units per period (such as a normal of one every six minutes).

Steady entry dispersion is intermittent, with the same time between progressive entries. In beneficial frameworks, the as it were arrivals that approach a consistent interim period are those subject to machine control. Much more common are variable (irregular) entry conveyances.

The arrival rate can be expected to increase to over 12 per hour.

Assume,

$\mathrm{λ}=12$

The average number in the line that can be expected is as follows: At 10 per hour as follows:

$\begin{array}{l}{\text{L}}_{\text{q}}\text{ = }\frac{{\text{λ}}^{\text{2}}}{\text{μ}(\text{μ}−\text{λ})}\\ \text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰=}\frac{{\left(\text{12}\right)}^{\text{2}}}{\text{12}\left(\text{12-12}\right)}\\ \text{=}\frac{\text{100}}{0}\\ \text{=Undefined}\end{array}$

This implies that the queue length is undefined.

Thus, when the arrival rate is more than or equal to the service rate then the number of persons waiting in line will grow without bound.