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<p class=heading-1>II.6. Design</p>
<p class=heading-1-p> </p>
<p align="justify" class=normal id="designindex">A facility for the synthesis of timed or (generalized)
stochastic PN models is <b><i>Design</i></b>, which allows exploring the dependence
of a <b><i>Design Index </i></b><b>(</b><b><i>I</i></b><b>)</b><b><i> </i></b>on
one or two <b><i>D</i></b><b><i>esign </i></b><b><i>P</i></b><b><i>arameters</i></b>
that vary within intervals defined by the user.</p>
<p class=normal> </p>
<p align="justify" class=normal id="designparameters">A <b><i>Design Parameter</i></b> may be selected
as (i) the initial marking of a place, (ii) a parameter of the distribution
function defining the duration associated with a place or a transition in timed
PNs, (iii) the mean value of the exponential distribution function associated
with a transition in (generalized) stochastic PNs. The <b><i>Design Parameter</i></b><b><i>s</i></b>
are generically denoted by <b><i>x</i></b> and <b><i>y</i></b>; any other notation
is not accepted. To ensure the correspondence between the symbol <b><i>x</i></b>
(or <b><i>y</i></b>) and the selected <b><i>Design Parameter</i></b>, this symbol
must be used as a numerical value when filling out the appropriate dialogue
box (exactly as detailed in sections <a href="ii12places.htm"><strong>Places</strong></a>
and <a href="ii13transitions.htm"><strong>Transitions</strong></a>). The place
or transition subject to parameterization is automatically colored in red.</p>
<p class=normal> </p>
<p align="justify" class=normal id="designnode">The <b><i>Design Index </i></b>may be selected
as a global performance index associated with a <b><i>Design Node</i></b>, namely
<b><i>Service Rate</i></b>, <b><i>Service Distance</i></b>, <b><i>Service </i></b><b><i>Time</i></b>
or <b><i>Utilization</i></b> for a transition, or <b><i>Arrival Rate</i></b>,
<b><i>Arrival Distance</i></b>,<b> </b><b><i>Throughput Rate</i></b>, <b><i>Throughput
Distance</i></b>, <b><i>Waiting Time </i></b>or <b><i>Queue Length</i></b> for
a place – see section <a href="ii4analyzingsimulationresults.htm"><strong>Analyzing
Simulation Results</strong></a>. The <b><i>Design Index</i></b> and the <b><i>Design
Parameter</i></b> do not necessarily refer to the same node.</p>
<p class=normal> </p>
<p align="justify" class=normal>When selecting the <b><i>Design</i></b> command
from the <b><i><a href="i2menubar.htm">Menu Bar</a></i></b> of the <b><i>PN
Toolbox</i></b>, a new window is opened (<a href="#FigII14">fig. II.14</a>).
The choice of the <b><i>Design Index </i></b>and <b><i>Design Node </i></b>is
made from the corresponding combo-boxes.</p>
<br><p align="center" class=normal><img id="FigII14" border=0 src="_PNToolbox-23.jpg"></p>
<p align="center" class=figura>Fig. II.14. <i>The </i><i>window</i><i> opened
by the </i><b><i>PN Toolbox </i></b><i>for</i><b><i> </i></b><b><i>Design</i></b><i>
option</i><i>.</i></p>
<br>
<p align="justify" class=normal> By pushing the <b><i>Design Parameter</i></b>
<b><i>x</i></b> button, the dialogue box presented in <a href="#FigII15a">fig.
II.15.(a)</a> is opened, allowing the user to set the numerical information
corresponding to <b><i>x</i></b>, consisting in the extreme values to be considered
and the number of equally-spaced test-points (where the <b><i>Design Index</i></b>
will be calculated as commented bellow). The same way, numerical information
can be set for <b><i>y</i></b> by pushing the <b><i>Design Parameter</i></b>
<b><i>y</i></b> button, which opens the dialogue box presented in <a href="#FigII15b">fig.
II.15.(b)</a>.</p>
<br><p align="center" class=normal><img src="_PNToolbox-24.jpg" border=0 align="absmiddle" ID="FigII15a">
<img src="_PNToolbox-25.jpg" border=0 align="absmiddle" ID="FigII15b"></p>
<p align="center" class=normal>(a)                                                        (b)</p>
<p align="center" class=figura>Fig. II.15. <i>The dialogue boxes for setting </i><b><i>Design
Parameter </i></b>(a) <b><i>x </i></b><i>and </i>(b) <b><i>y</i></b><i>.</i><i></i></p>
<br><p align="justify" class=normal> The set of simulation-experiments defined by
the <b><i>Design Parameter</i></b><b><i>s </i></b>is launched by pushing the
<b><i>Start</i></b> button and cannot be interrupted until scanning all the
test-points. The <b><i>Exit </i></b>button serves only for closing the <b><i>Design
</i></b>window (i.e. after finishing all the simulation-experiments).</p>
<p> </p>
<p align="justify">For each test-point (in the case of a single parameter) or
for each pair of test-points (in the case of two parameters) automatically constructed
by the <em><strong>PN Toolbox</strong></em> in accordance with the information
given in the <em><strong>Design Parameter</strong></em> dialogue boxes, a simulation
experiment is performed in the Run Fast mode. Each simulation experiment ends
when the condition selected via the combo-box <em><strong>End of Simulation</strong></em>
is fulfilled. The results of all these simulation experiments yield a graphical
plot (2-D or 3-D, respectively) defining the dependence of the selected <em><strong>Design
Index (I) </strong></em>on the <em><strong>Design Parameter(s)</strong></em>.
Besides the graphical plot, the toolbox displays the extreme values of the <em><strong>Design
Index</strong></em>, in the message box placed in the left side of the<em><strong>
Design</strong></em> window.<br>
</p>
<p align="justify" class=normal>Note that the simulation experiments performed
for the given design parameter(s) provide the whole set of global indices associated
with all the nodes of the net. Each of these indices can be visualized by appropriately
choosing the <b><i>Design Index </i></b>and/or <b><i>Design Node</i></b>. Such
information remains available as long as the user does not press the buttons
<b><i>Design Parameter x</i></b>, <b><i>Design Parameter y</i></b>, and does
not alter the condition in the combo-box <b><i>End of Simulation</i></b> (because
these operations reset the specific work variables).</p><hr>
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