A worker at the State Unemployment Office isresponsible for processing a company’s forms when it opensfor business. The worker can process an average of 4 formsper week. In 2002, an average of 1.8 companies per weeksubmitted forms for processing, and the worker had abacklog of .45 week. In 2003, an average of 3.9 companiesper week submitted forms for processing, and the workerhad a 5-week backlog. The poor worker was fired and suedto get his job back. The court said that since the amount ofwork submitted to the worker had approximately doubled,the worker’s backlog should have also doubled. Since his backlog increased by more than a factor of 10, he must havebeen slacking off, so the state was justified in firing him.Use queuing theory to defend the worker (based on an actualcase!).
A worker at the State
responsible for processing a company’s forms when it opens
for business. The worker can process an average of 4 forms
per week. In 2002, an average of 1.8 companies per week
submitted forms for processing, and the worker had a
backlog of .45 week. In 2003, an average of 3.9 companies
per week submitted forms for processing, and the worker
had a 5-week backlog. The poor worker was fired and sued
to get his job back. The court said that since the amount of
work submitted to the worker had approximately doubled,
the worker’s backlog should have also doubled. Since his
backlog increased by more than a factor of 10, he must have
been slacking off, so the state was justified in firing him.
Use queuing theory to defend the worker (based on an actual
case!).
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