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NCEES · FE · Cheat sheet

FE Industrial and Systems Exam cheat sheet

A one-page summary of key FE Industrial and Systems topics.

Operations

  • EOQ = √(2DS/H)
  • Little's law: L = λW
  • M/M/1 utilization ρ = λ/μ; L = ρ/(1 − ρ)

Quality and reliability

  • Process capability Cp = (USL − LSL)/6σ
  • x̄-chart limits: x̿ ± A₂R̄
  • Series reliability R = R₁R₂…; parallel R = 1 − Π(1 − Rᵢ)

Work design and human factors

  • Normal time = observed time × rating; standard time = normal time × (1 + allowance)
  • Learning curve: Tₙ = T₁n^b, b = log(rate)/log 2
  • NIOSH recommended weight limit RWL = LC × HM × VM × DM × AM × FM × CM

Economics and management

  • Present worth P = F/(1 + i)ⁿ
  • Breakeven quantity = fixed cost ÷ (price − variable cost)
  • Critical path = longest path through the project network

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