# Bottleneck Calculator

> Find the station that limits the line and what the line can produce.

Page: https://freecalculator.tech/tools/bottleneck-calculator
Last reviewed: 2026-09-16

## Formula

Line capacity = the smallest station capacity entered; Held-back capacity = Fastest station − Line capacity

- Line capacity = the smallest station capacity entered; Held-back capacity = Fastest station − Line capacity.
- Inputs used: Station 1 capacity, Station 2 capacity, Station 3 capacity (optional), Station 4 capacity (optional), Station 5 capacity (optional), Station 6 capacity (optional).
- Edge handling: Station 1 capacity is required.; Station 1 capacity cannot be negative.; Station 1 capacity must be no more than 1000000000000.; Station 2 capacity is required.; Station 2 capacity cannot be negative..

## Inputs

- Station 1 capacity
- Station 2 capacity
- Station 3 capacity (optional)
- Station 4 capacity (optional)
- Station 5 capacity (optional)
- Station 6 capacity (optional)

## Worked example: Six stations, one constraint

The line can only go as fast as its slowest station, whatever the others can do.
1. Start with Station 1 capacity: 120, Station 2 capacity: 95, Station 3 capacity (optional): 140, Station 4 capacity (optional): 110, Station 5 capacity (optional): 0, Station 6 capacity (optional): 0.
2. Apply the method: Line capacity = the smallest station capacity entered; Held-back capacity = Fastest station − Line capacity.
3. The line can only go as fast as its slowest station, whatever the others can do.

## Common questions

### Where does this formula come from?

MIT OpenCourseWare 2.854 Introduction to Manufacturing Systems — throughput is output per unit of time, cycle time is run time divided by the units produced, line capacity is set by the slowest station, and balance efficiency compares total work content with the number of stations multiplied by the longest station time. See the source link on this page.

### What kind of calculation is this?

The slowest station sets the capacity of the whole line, whatever the other stations can do. Check the formula, example, and limitations on this page before using the result for a real professional & industry decision.

### What are its limits?

Arithmetic over the figures entered — it cannot tell whether the measurements behind them are right. A measured result, an industry benchmark and an organisation's target are three different things; only the entered figures are used. A single sequential line is assumed. Parallel paths, shared resources and large buffers change where the constraint sits.

### How do I use the Bottleneck Calculator?

Enter the required values for Station 1 capacity, Station 2 capacity, Station 3 capacity (optional), Station 4 capacity (optional), Station 5 capacity (optional), and the other fields shown. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.

### What formula does the Bottleneck Calculator use?

Line capacity = the smallest station capacity entered; Held-back capacity = Fastest station − Line capacity The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone. Check the formula, example, and limitations on this page before using the result for a real professional & industry decision.

### Can the Bottleneck Calculator be used for exact decisions?

Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.

## Limitations and assumptions

- Inputs outside the supported range are rejected rather than forced into a result.
- The result depends on the values you enter for this bottleneck calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.

## Sources

- Massachusetts Institute of Technology — https://ocw.mit.edu/courses/2-854-introduction-to-manufacturing-systems-fall-2016/

## Cite this page

- APA: Free Calculator. (2026, September 16). Bottleneck Calculator. https://freecalculator.tech/tools/bottleneck-calculator
- MLA: "Bottleneck Calculator." Free Calculator, 16 Sept. 2026, https://freecalculator.tech/tools/bottleneck-calculator.
- Link: Bottleneck Calculator — Free Calculator, https://freecalculator.tech/tools/bottleneck-calculator