Essential Manufacturing Engineering Formula Sheet

Formulas

July, 2026 |

1. Overall Equipment Effectiveness (OEE)

OEE = Availability × Performance × Quality

  • Availability (%) = (Operating Time ÷ Planned Production Time) × 100
  • Performance (%) = (Ideal Cycle Time × Total Count ÷ Operating Time) × 100
  • Quality (%) = (Good Parts ÷ Total Parts Produced) × 100

2. Productivity

  • Productivity = Output ÷ Input
  • Labor Productivity = Total Output ÷ Total Labor Hours
  • Machine Productivity = Output ÷ Machine Hours

3. Capacity Calculation

  • Machine Capacity = Available Production Time ÷ Cycle Time
  • Daily Capacity = (Production Hours × 60) ÷ Cycle Time
  • Monthly Capacity = Daily Capacity × Working Days

4. Capacity Utilization

Capacity Utilization (%) =

(Actual Output ÷ Maximum Capacity) × 100


5. Takt Time

Takt Time =

Available Production Time ÷ Customer Demand


6. Cycle Time

Cycle Time =

Total Production Time ÷ Number of Units Produced


7. Throughput

Throughput =

Total Units Produced ÷ Time


8. Line Efficiency

Line Efficiency (%) =

(Total Work Content ÷ (Number of Stations × Cycle Time)) × 100


9. Balance Delay

Balance Delay (%) =

100 − Line Efficiency


10. Standard Time

  • Standard Time = Normal Time + Allowances

OR

  • Standard Time = Observed Time × Rating Factor × (1 + Allowance)

11. Normal Time

Normal Time =

Observed Time × Performance Rating


12. Manpower Requirement

  • Manpower Required = Total Work Content ÷ Available Time per Operator

OR

  • Manpower Required = Total Standard Hours ÷ Available Labor Hours

13. Overall Labor Efficiency

Labor Efficiency (%) =

(Standard Hours Produced ÷ Actual Hours Worked) × 100


14. Setup Reduction Improvement

Improvement (%) =

((Old Setup Time − New Setup Time) ÷ Old Setup Time) × 100


15. Rejection Rate

Rejection Rate (%) =

(Rejected Quantity ÷ Total Production) × 100


16. Rework Rate

Rework Rate (%) =

(Reworked Quantity ÷ Total Production) × 100


17. First Pass Yield (FPY)

FPY (%) =

(Good Units Produced First Time ÷ Total Units Produced) × 100


18. Scrap Rate

Scrap Rate (%) =

(Scrap Quantity ÷ Total Production) × 100


19. DPMO (Defects Per Million Opportunities)

DPMO =

(Total Defects ÷ (Total Units × Opportunities)) × 1,000,000


20. Process Capability (Cp)

Cp =

(USL − LSL) ÷ 6σ


21. Process Capability Index (Cpk)

Cpk =

Minimum of:

  • (USL − Mean) ÷ 3σ
  • (Mean − LSL) ÷ 3σ

22. Machine Utilization

Machine Utilization (%) =

(Machine Running Time ÷ Available Time) × 100


23. Downtime

Downtime (%) =

(Downtime ÷ Planned Production Time) × 100


24. MTBF (Mean Time Between Failures)

MTBF =

Total Operating Time ÷ Number of Failures


25. MTTR (Mean Time to Repair)

MTTR =

Total Repair Time ÷ Number of Repairs


26. Inventory Turnover

Inventory Turnover =

Annual Consumption ÷ Average Inventory


27. Lead Time

Lead Time =

Order Release Date − Order Receipt Date


28. Return on Investment (ROI)

ROI (%) =

(Net Annual Benefit ÷ Investment Cost) × 100

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