Categories › Business & Finance › Business strategy, startups, product & careers
Queueing simulation: M/M/c, staffing, Erlang C checks, and multi-step models built from nodes.
Remote server: your requests and data go to queuesim.com. Claude Code: claude mcp add --transport http queuesim https://queuesim.com/mcp/v1 · Claude app: Settings → Connectors → Add custom connector.
The tools this server listed when we connected to it, in its own words.
simulate_mmc — Run a generic M/M/c queue simulation. Provide an arrival rate (λ, arrivals/hour), a service rate per server (μ, customers/hour each server clist_scenarios — List the four pre-built QueueSim scenarios. Returns key, title, and one-line description for each (Single Server, Coffee Shop, Grocery Checkdescribe_scenario — Return full details for one preset scenario: title, description, teaching note, peak parameters, and per-hour arrival + staffing arrays. Usesimulate_scenario — Run one of the four preset scenarios (single, coffee, grocery, callcenter) with optional overrides. Overrides apply UNIFORMLY across open hosimulate_schedule — Run a queueing simulation against an arbitrary 24-hour staffing schedule. Take this when the user describes a custom day shape that doesn't compare_separate_vs_pooled — Run the classic operations-research teaching demo: pooled queueing (one shared queue, c servers) vs separate queues (c independent queues, oexplain_queueing_theory — Return a ~500-word educational explainer of M/M/c queueing theory: Little's Law, utilization, why averages mislead, how simulation relates texplain_advanced_patterns — Return a textbook-level description of six queueing complexity patterns beyond basic M/M/c: abandonment/reneging, priority tiers, overflow rrecommend_staffing — INVERSE of simulate_mmc — given an arrival rate, service rate, and a target average wait time, returns the SMALLEST number of servers neededinterpret_result — Given an M/M/c configuration (arrivalRate, serviceRate, servers) and optionally an observed average wait, returns a queueing-theory framed icompare_analytical_vs_simulated — Run the same M/M/c configuration through BOTH the closed-form Erlang-C formula AND the discrete-event simulator, returning a side-by-side coqueue_model_guide — How to build a QueueSim Cloud model: the node types (arrivals, service, delay, split, settype, bytype, exit), staff groups, distributions, pcheck_queue_model — Check a QueueSim Cloud model (a multi-step queueing system built from nodes and staff groups) without running it. Returns every problem founrun_queue_model — Run a QueueSim Cloud model (a multi-step queueing system built from nodes and staff groups) on the QueueSim Cloud discrete event engine. RetNot tested by KitScout yet. When our harness runs it, pros, cons and the tasks we tried appear here, with the date and evidence.