QueueSim

QueueSim is a free Model Context Protocol server that gives Claude — and any MCP-speaking AI — the ability to run real discrete event queueing simulations inside a conversation. Ask "I run a 3-agent call center, 30 calls/hr, 4-min handle time — what's my wait?" and get an actual number from a simulator, not a guess. Six tools cover the common cases: direct M/M/c with arrival rate / service rate / server count, four preset scenarios (single server, coffee shop, ER waiting room, call center) with optional overrides, plus two textbook explainers covering basic queueing theory and six common patterns beyond M/M/c (abandonment, priority tiers, overflow routing, skills-based routing, compound service, server outages). Free, no auth, no API key. By ChiAha — 35 years of discrete event simulation. For modeling beyond M/M/c against your own data, contact queuesim@chiaha.com.