To pass in the parameter to the job, simply set a Choice parameter like this:

<hudson.model.ChoiceParameterDefinition>
<name>update.site.description</name>
<description>Choose which label to apply to the generated update site's index.html page.</description>
<choices class="java.util.Arrays$ArrayList">
<a class="string-array">
<string>Nightly Build</string>
<string>Development Milestone</string>
<string>Stable Release</string>
</a>
</choices>
</hudson.model.ChoiceParameterDefinition>

I've applied this change in https://jenkins.mw.lab.eng.bos.redhat.com/hudson/view/DevStudio/view/JBTIS/job/jbosstools-teiid-designer_trunk/jobConfigHistory/showDiffFiles?histDir1=%2Fqa%2Fhudson_master%2Fhudson_home%2Fhudson_workspace%2Fjobs%2Fjbosstools-teiid-designer_trunk%2Fconfig-history%2F2013-06-06_21-12-56&histDir2=%2Fqa%2Fhudson_master%2Fhudson_home%2Fhudson_workspace%2Fjobs%2Fjbosstools-teiid-designer_trunk%2Fconfig-history%2F2013-08-19_15-26-33

Do you like this? Should it be done in other Teiid Designer jobs, too?