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Operations Calculator

Two powerful tools in one: Little's Law for flow analysis, and M/M/c for multi-server queue optimization.

L = λ × W
L = Work in Progress (WIP)
λ = Throughput (delivery rate)
W = Cycle Time (avg. time in system)

Little's Law states that the average number of items in a stable system equals the average arrival rate multiplied by the average time each item spends in the system. It applies universally — from factory floors to software Kanban boards to service queues.

Enter any 2 values and the third will be calculated automatically.

items

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M/M/c Queue
λ = Arrival Rate
μ = Service Rate (per server)
c = Number of Servers

The M/M/c model extends single-server queueing to multiple parallel servers (attendants, machines, agents). It answers the critical question: "How many servers do I need to keep wait times acceptable?" Uses the Erlang C formula to calculate the probability of waiting, expected queue length, and average wait time.

Conditions: Poisson arrivals (M), exponential service times (M), c identical parallel servers, FIFO queue, stable system (λ < c × μ).

Enter all 3 inputs to get full queue performance metrics.

servers

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Want to Optimize Your Operations?

Little's Law and queueing theory are just the beginning. JJ Andrade helps businesses reduce cycle times, right-size their teams, and increase throughput using data-driven methodology.

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