Industrial & Manufacturing Calculators
OEE, takt, EOQ, and the numbers behind a well-run line.
- Overall Equipment Effectiveness (OEE)Roll planned-time losses, speed losses, and defects into a single OEE score with its three factors.OEE = A · P · Q, A = Run/Planned, P = (Ideal·Total)/Run, Q = Good/Total
- Takt TimeSet the production heartbeat — how often you must finish a unit to meet customer demand without over- or under-building.Takt = Available work time ÷ Customer demand
- Line Balancing EfficiencySize a paced assembly line — cycle time, theoretical station count, and balance efficiency from total work content and demand.Eb = Twc / (n · Tc) , d = 1 − Eb , n_min = ⌈Twc / Tc⌉
- Economic Order Quantity (EOQ)Find the order size that minimizes combined ordering and holding cost for a steady-demand part.Q* = √(2·D·S / H) TC = (D/Q)·S + (Q/2)·H
- Cycle Time ⇄ Throughput (Little's Law)Relate work-in-process, cycle time, and throughput on a production line — enter any two, get the third plus takt.WIP = TH · CT (Little's Law) , Takt = 1 / demand rate
- Cp / Cpk Process CapabilityTurn spec limits and process spread into Cp, Cpk, and the sigma level that predicts your reject rate.Cp = (USL − LSL) / 6σ , Cpk = min[(USL − μ)/3σ, (μ − LSL)/3σ]
- Sigma Level ⇄ DPMOConvert between process sigma level, DPMO, and yield — with the standard 1.5σ long-term shift baked in.DPMO = (1 − Φ(σ − shift)) · 10⁶ , σ = Φ⁻¹(yield) + shift , yield = 1 − DPMO/10⁶
- Attribute-Data Sample SizeFind how many parts you must inspect to detect a defect at a target rate with a chosen confidence — the zero-acceptance sizing behind LTPD sampling.c = 0: n = ln(1−C) / ln(1−p) , C = confidence , general c: solve Σₖ₌₀ᶜ e⁻ⁿᵖ(np)ᵏ/k! = 1−C
- MTBF from Runtime + Failure CountTurn logged operating hours and failure counts into MTBF, failure rate, and availability.MTBF = (operating hours × units) / failures , λ = 1 / MTBF , Aᵢ = MTBF / (MTBF + MTTR)
- Weibull B10 Life (β, η)Turn a Weibull shape and characteristic life into B10 (or any B-life), median life, and MTTF — the numbers a warranty or bearing spec actually asks for.t_B = η · [−ln(1 − B/100)]^(1/β) B50 = η · (ln 2)^(1/β) MTTF = η · Γ(1 + 1/β)
- X̄ / R Control Chart LimitsCompute control limits and process capability from subgroup average and range data using AIAG SPC constants.UCLₓ = X̄̄ + A₂·R̄ , LCLₓ = X̄̄ − A₂·R̄ , UCL_R = D₄·R̄ , LCL_R = D₃·R̄ , σ̂ = R̄/d₂ , Cpk = min[(USL−X̄̄), (X̄̄−LSL)] / 3σ̂
- Machine Utilization & AvailabilityTurn scheduled, run, and downtime hours into utilization, availability, and lost-capacity numbers for a work center.U = run time ÷ scheduled time A = (scheduled − downtime) ÷ scheduled
- Gage R&R (%P/T)Turn repeatability and reproducibility standard deviations into %Tolerance and %Study measurement-system metrics.GRR = √(EV² + AV²) , %P/T = k·GRR / (USL−LSL) × 100 , %GRR = GRR/√(GRR²+PV²) × 100 , ndc = ⌊√2 · PV/GRR⌋
- Levelized Cost of Electricity (LCOE)Compare generation options on one number — annualized capital plus O&M and fuel, per MWh delivered.LCOE = (CapEx·CRF + FOM)·1000 / (8760·CF) + VOM + Fuel , CRF = r(1+r)ⁿ / [(1+r)ⁿ − 1]