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Arc Skills / Reliability and maintainability

Allocate a system reliability target to subsystems

This task proposes subsystem reliability budgets from a stated system success target. Arc Skills returns an auditable allocation table and exact recombination while keeping targets separate from demonstrated performance.

Use this skill

Use Arc Skills to allocate a system reliability target to its contributing elements.

Inputs:
- Controlled target, mission duration, success event and operating conditions
- System architecture, dependencies and common-cause assumptions
- Existing component evidence and allocation rules

Return proposed allocations with the success equation, target reconciliation, evidence basis, owners and unresolved assumptions. Distinguish allocations from achieved reliability and do not assume independence without justification.

Set up the toolkit · Read the skill instructions

What you provide and what you get

Inputs and outputs
What you haveHow it is usedWhat you get
Target and mission intervalDefines the design obligationAllocation basis
Success logicSets series/parallel combination ruleRecomputation equation
Subsystem feasibility dataTests whether budgets are credibleGap to estimate

Equal series allocation clears a 0.99 target by 0.000025

Illustrative engineering example.

A synthetic system needs both subsystem A and subsystem B to operate through one defined mission. The approved system target is 0.99 mission reliability. For illustration, propose 0.995 to each, assuming nonrepairable behavior and independent subsystem success over the same interval.

Two-subsystem mission allocation
SubsystemProposed mission targetContributionFeasibility status
A0.995Required series factorCurrent estimate not supplied
B0.995Required series factorCurrent estimate not supplied
Combined A × B0.9900250.995 × 0.995; exceeds 0.99 by 0.000025Mathematically passes, engineering feasibility open

The exact product is 0.990025, so this proposal exceeds the stated system target by 0.000025, or 0.0025 percentage points. It is not evidence that either subsystem can achieve 0.995. If a shared supply is required, it belongs in the success equation and consumes some of the target margin.

Equal allocation is a starting convention when no constraint data are supplied. A constrained subsystem may need a different split, provided the recombined result still meets the approved target. These are design budgets, not observed reliability estimates or safety probability objectives.

Allocate against the complete success equation

  1. Fix success definition, mission interval and approved target.
  2. Identify every required path and common series element before assigning budgets.
  3. Choose a feasible provisional split and recompute with the exact equation.
  4. Compare each target with current evidence and route the proposed allocation for approval.

Questions about this task

Why is 0.995 each enough here?

Under the stated independent two-series model, 0.995 × 0.995 = 0.990025, which is above 0.99.

Does a mathematical pass prove the design target is met?

No. It proves only that the proposed budgets recombine. Component capability, common causes and mission conditions still need evidence.

Sources and further reading