Basic arithmetic only: + − × ÷, parentheses, decimals.
Result
-
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Exam note: You may use this entire page during the exam session. This page does not store data. Refreshing resets values.
Basic arithmetic only: + − × ÷, parentheses, decimals.
Tip: You can also type directly and press Enter.
Formula: I = R × T, where I is average inventory (flow units), R is average flow rate (flow units per time), and T is average flow time (time). Little’s Law describes average values.
Tip: Use the unit dropdowns so the calculator handles time conversions.
Formulas:
capacity = m / processing time
process capacity = min(capacityᵢ)
flow rate = min(process capacity, demand rate)
utilization = flow rate / capacity
cycle time = 1 / flow rate
where m is the number of parallel servers, and processing time is time per unit.
| Metric | Value |
|---|---|
| Capacity | - |
| Flow rate | - |
| Utilization | - |
| Cycle time | - |
Formulas (as written in slides):
Labor Content = Sum of the processing times involving labor
Cost of Direct Labor = (Wages per unit of time) / (Flow rate)
Average Utilization = Labor Content / (Labor Content + Total Idle Time)
Takt Time = 1 / (Demand Rate)
Target Manpower = Labor Content / Takt Time
Profit = (Flow_Rate * (Price - Variable_Cost)) - Fixed_Cost
Enter station processing times (time per unit). Leave unused rows blank.
| Station | Time | Unit |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
Formula: CDL = (Wages per unit of time) / (Flow rate)
Formula: AU = LC / (LC + Total Idle Time)
Formulas: Takt Time = 1 / (Demand Rate) and Target Manpower = Labor Content / Takt Time
Formula: Profit = (Flow Rate * (Price - Variable Cost)) - Fixed Cost
Formulas (as written in slides):
Implied Utilization = Demand / Capacity
Yield = Successful Output / Input
Input Required = Needed Output / Yield
Formula: IU = Demand / Capacity
Formula: Yield = Successful Output / Input
Formula: Input Required = Needed Output / Yield
Formulas (as written in slides):
Batch size = (Target capacity × Total setup time) / (1 − (Target capacity × Processing time))
Batch size is the number of units produced per setup (units). Target capacity is units/time. Setup time is time. Processing time is time/unit.
Formulas (as written in slides):
OEE = Value added time / Total available time
ITAT = Inventory / Flow rate
TPS Takt Time = Available time / Demand rate
Target manpower = Labor content / TPS Takt Time
Demand during replenishment time = Replenishment time × Demand rate
Number of Kanban cards = (Demand during replenishment time + Safety stock) / Container size
Value-added percentage = Value added time of a flow unit / Flow time
Formula: OEE = Value added time / Total available time
Formula: ITAT = Inventory / Flow rate
Formula: TPS Takt Time = Available time / Demand rate
Formula: Target manpower = Labor content / TPS Takt Time
Demand during replenishment time = Replenishment time × Demand rate
# Kanban cards = (Demand during replenishment time + Safety stock) / Container size
Formula: Value-added percentage = Value added time of a flow unit / Flow time