Fermions queue up, Bosons don't

When I view atomic physics from the queueing theory, the Pauli Exclusion principle says we can serve one customer at a time. That gets a fermi-dirac distribution for the type of check out counters a store might have. But what kind of energy does the grocery store emit when it changes its check out counter distribution? Evidently, during the retool, some customers get left behind and walk away with free stuff. Why did God do that to the physicists?