AI Calculator Pro

Concurrency Capacity Planner

Size concurrency and instances for a target request rate.

Quick answer

With the default inputs, 60 concurrent requests needed — ≈ 6 instances at 10 concurrent each. Enter your own numbers below to recompute instantly; the full step-by-step math is shown under the worked example.

Results update automatically as you type.

Result
60 concurrent requests needed
≈ 6 instances at 10 concurrent each
Target throughput
20 req/s
Avg latency
3 s
Concurrency (Little's law)
60
Instances
6

Use Little's law to size your deployment: enter target requests/second and average latency to see the concurrency needed, and how many instances that requires.

How this is calculated

By Little's law, required concurrency = target requests/second × average latency. Instances needed = required concurrency ÷ concurrent requests per instance, rounded up. To serve 20 req/s at 3s each you need ~60 requests in flight.

Is this a good result? What to do next

This sizes steady-state capacity; you still need headroom for spikes and failures. If instance count looks high, latency is usually the culprit — cutting it reduces concurrency requirements proportionally.

Typical planning ranges

Concurrency
throughput × latency
20 req/s × 3s
~60 in flight
Headroom
add for spikes and failover

Ranges are typical planning figures to sanity-check your result, not authoritative benchmarks. Your numbers will vary with use case, volume, and vendor.

How to improve this number

  • Reduce latency to cut required concurrency.
  • Raise per-instance concurrency where the runtime allows.
  • Autoscale on queue depth, with spare headroom.

Common mistakes

  • Sizing to exact steady state with no spike headroom.
  • Using peak latency inconsistently with average load.

When to use a different approach

To check provider TPM/RPM limits, use the rate limit planner. For GPU counts, use the GPU count calculator.

Worked example (defaults)

With the default inputs above, here is the result:

Result
60 concurrent requests needed
≈ 6 instances at 10 concurrent each
Target throughput
20 req/s
Avg latency
3 s
Concurrency (Little's law)
60
Instances
6
  • concurrency = throughput x latency

Frequently asked questions

What is Little's law?+

Concurrency = throughput × latency. To serve 20 req/s at 3s each, you need ~60 requests in flight.

How many instances do I need?+

Divide required concurrency by how many concurrent requests each instance handles, then round up.

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