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THE FEUTEX TOOLKIT

Batch Timeout Fill Estimate

Estimate whether a batch usually fills before its maximum waiting timeout.

Computer Systems workspace● Runs in your browser
01 Your input
02 Your result
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FormulaExpected items at timeout = Math.min(batch,1+rate*t); Expected time after first item to fill = (batch-1)/rate

Made for real tasks

  • Estimate whether a batch usually fills before its maximum waiting timeout.
Explore step-by-step workflows →

Worked example

Inputs

Arrival rate
250 items/s
Batch capacity
100 items
Flush timeout
0.2 s

Expected results

Expected items at timeout
51 items
Expected time after first item to fill
0.396 s

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter arrival rate, batch capacity, flush timeout in the displayed units.
  2. Calculate the scenario, then compare it with measurements before changing a system.

Try this example

{
  "rate": 250,
  "batch": 100,
  "t": 0.2
}

Accuracy and scope

Fluid mean-arrival approximation; exact batch distributions and bursts are not modeled.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.