ToolJovia
Math

Independent Reliability Block Workbench

Evaluate an explicit series/parallel component tree at one common mission time and export exact group-by-group probabilities.

✓ Browser-local processing

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How to use Independent Reliability Block Workbench

Independent series reliabilities multiply. An independent parallel group fails only when every child fails, so its reliability is one minus the product of child failure probabilities. A bottom-up witness records each component and group result.

  1. Enter series/parallel tree json.
  2. Choose the stated convention and check the units and supported model.
  3. Calculate, inspect the result, then copy or download it.

Good to know

  • Exact-grid inputs are plain decimals with at most six places and magnitude≤1e9. Raw JSON number spelling is checked before conversion; decimal strings can preserve exact grid values. Exact rational intermediates are bounded to 8192 bits. At most 31 unique component leaves, 63 total nodes and 8 group levels. Every component may appear only once; probabilities refer to one common mission time. Independence, component estimates and the tree model must be justified externally. No shared failures, repair, standby switching, load sharing, k-out-of-n logic or safety certification.
  • Local calculation only; no input persistence or external lookup. Text/JSON is limited to 30000 characters and output to 1000000 characters. Numeric model inputs and precision/work limits are stated on this page. Approximate JSON numbers retain full stored values; exact arithmetic outputs retain decimal or fraction strings. Unsupported states fail explicitly.

Common questions

Why is a repeated component ID refused?

Reusing one physical component in two branches violates the independence arithmetic of this tree. Assigning a new ID would not make the component independent; a different reliability model is needed.

Is the input uploaded or saved?

No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.

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