Jenkins parameterized job that only queues one build

Question

Imagine a Jenkins job A which takes 1 minute to run, and job B which takes 5 minutes.

If we configure job A to trigger job B, while job B is running job A may run 5

Answer 1

Ron's solution worked for me. If you don't like having bunch of cancelled builds in build history you can add the following system groovy script to job A before you trigger job B:

import hudson.model.*  
def q = jenkins.model.Jenkins.getInstance().getQueue()   
def items = q.getItems()  
for (i=0;i<items.length;i++){  
  if(items[i].task.getName() == "JobB"){  
    items[i].doCancelQueue()
  }   
}