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Wireless Network Design: Optimization Models and Solution ...

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278 Marina Aguado, Jasone Astorga, Nerea Toledo <strong>and</strong> Jon Matias<br />

Fig. 12.4 St<strong>and</strong>ard Normal Curve<br />

ters each time, but with varying r<strong>and</strong>om number seed values. The total number of<br />

seed values chosen (i.e., the number runs) is critically important in determining the<br />

confidence interval, but the actual seed values themselves are not as important. 1 As<br />

an example, Figure 5(a) represents the obtained results with different seed values<br />

in the OPNET Modeler simulation framework [21] for a specific statistic (WiMAX<br />

delay) in a simulation scenario when the mobile node modifies its speed from 30 to<br />

120 Km/h. Once all executions have taken place, multiple values for the same abscissa<br />

value are observed in Figure 5(b), each value corresponding to an experiment<br />

with the same abscissa parameter value (speed) but a different seed value as input<br />

[22]. It is then possible to select a desired confidence interval using the previous<br />

formula. For each abscissa value, the specific interval is plotted as shown in Figure<br />

5(c).<br />

As a final general recommendation, it is important to be aware that a general<br />

common goal to be achieved by any simulation study is that similar results can be<br />

obtained in different emplacements under similar constraints. Following the recommendations<br />

below helps to ensure that the experiment may be repeated somewhere<br />

else achieving similar results:<br />

a. Identify <strong>and</strong> clearly characterize the type of data traffic involved in the simulation.<br />

b. Specify the simulation platform <strong>and</strong> version.<br />

c. Specify the number of simulation runs.<br />

d. Specify confidence intervals.<br />

e. Specify correctly the network topology <strong>and</strong> the values for the different configuration<br />

parameters for each node.<br />

1 Although the sequence of numbers produced by a pseudo-r<strong>and</strong>om number generator may appear<br />

to be r<strong>and</strong>om, the procedure used to generate the sequence from a given seed value is actually deterministic.<br />

Thus, the sequence will eventually repeat, <strong>and</strong> the number of pseudo-r<strong>and</strong>om numbers<br />

generated before the sequence repeats can be affected by the r<strong>and</strong>om number seed value.

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