Erlang Distribution for Pc

1. For the Erlang Distribution App three data parameters for the Real Rate of Change ( λ ), Scale ( μ ) and Shape ( k ) are input via sliders to compute PDF and CDF values and the Erlang mean and variance.

2. The intervals between call arrivals is then an Exponential distribution, and the sum of k such distributions is an Erlang distribution (i.e. the time before the kth call arrives), so the Poisson, Exponential, Erlang and Gamma distributions are very closely related to one another.

3. The Erlang distribution can be used to model the time to complete n operations in series, where each operation requires an exponential period of time to complete.

4. The Erlang distribution is utilized to examine the number of telephone calls which might be made at the same time to the operators of the switching stations.

5. The Erlang distribution is a two parameter family of continuous probability distributions.

6. Upon movement of the line a paired (x,Pr(x) values appear relative to the line position on the graph curve.

7. The PDF and CDF graphs are touch interactive graphs for computed (x/Pr(x) paired values.

8. The graphs have a touch feature whereby upon the touch a slidable vertical line appears.

9. The PDF and CDF values are displayed both in data table and graph forms.

10. The vertical y-axis plots a range of Pr(x) values.

11. This work on telephone traffic engineering has been expanded to consider waiting times in queueing systems in general.

12. Liked Erlang Distribution? here are 5 Education apps like Bell Curves - graphing calculator for the normal distribution function; Probability-Distributions; Chi-Square Distribution; F-Distribution Function; Cauchy Distribution Function;