The following is a simple example of the analysis using the same parameters as the simulation in the next section. The parameters required are:
From the equations in the previous section, we can develop an analytical solution for the remaining parameters. Using basic probability the integral of Equation 5 should be one. Also, is an exponential approximation of Equation 4, which can be found by taking the integral of the difference of from Equation 4 and and setting the result to zero,
This provides two equations and two unknowns which provide the solution for and . These values can be used to determine the which can then be used in our extension of [1] as discussed previously. In the graph of shown in Figures 4, it appears that there will be a high probability of blocking, since . This is compared with an arrival rate of 0.01 calls/sec/unit area in Figure 5, which has a maximum at one channel per station, and a lower blocking probability.
Figure 4: Channel Usage Prob. Density Function for 0.6 Call/Sec.
Figure 5: Channel Usage Prob. Density Function for 0.01 Call/Sec.
Figures 4 and 5 are in agreement with the simulation results in Figures 7 and 8 as additional verification.