Skip to tool

QUEUEING THEORY + BOTTLENECK PLANNING

Queueing Theory Bottleneck Simulator Lab

Model M/M/c queue bottlenecks with Erlang C wait risk, SLA exceedance, staffing recommendations, burst-stress heatmap, SVG output, CSV exports, Markdown notes and JSON receipt.

Reviewed 2026-06-28

Math
M/M/c queueErlang CSLA riskServer recommendationStress heatmapJSON receipt

FORMULA CONTRACT

A serious capacity tool shows the utilization cliff.

The lab uses a = lambda / mu, rho = lambda / (c mu), Erlang C wait probability and P(Wq > t) for SLA exceedance. The recommendation is the smallest stable server count that clears wait and utilization guardrails.

Read the editor guide for queueing bottlenecks