Operations answers · CMK Sons Labs
Almost always for one reason: you are staffed to the day's average, and a queue does not care about your average.
If you need 40 agents across the day, that number is the mean of every half hour. The 10am peak might need 61 and the 3am interval might need 2. Staff to 40 everywhere and you are 21 short at the moment it matters and 38 over at the moment it does not. The day total looks perfect. The service level does not.
Staffing a queue is not a ratio. It is Erlang C, and it is not linear.
That is why a "contacts per agent" rule is furthest out exactly where it hurts: in the quiet intervals, where it quietly over-staffs, and in the sharp peaks, where it under-staffs.
Your required headcount is whichever of those three is strictest, and it is often not the one you are watching. An operation capped by occupancy can raise its service target a long way for no extra headcount at all, and nobody notices because the service figure was never the binding one.
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