Free online workforce management calculators for call centers and chat centers. Calculate staffing, service level, AI deflection ROI, shrinkage, and occupancy.
P(wait) = [A^N/N! x N/(N-A)] / [Sum(A^k/k!, k=0..N-1) + A^N/N! x N/(N-A)]. Where A = traffic intensity in Erlangs, N = number of agents. For chat centers: A = chats x AHT / (interval x concurrency).
True FTE reduction = Erlang C scheduled agents (before deflection) minus Erlang C scheduled agents (after deflection). Net ROI = (FTE reduction x hourly rate x annual hours) minus annual bot platform cost. Payback = Annual bot cost divided by (Annual saving / 12).
Call centers: 1 agent handles 1 call at a time. Chat centers: 1 agent handles multiple chats simultaneously (concurrency). The Erlang C formula is adapted by dividing traffic intensity by the concurrency factor.