# How to Calculate Production Capacity (Machine and Plant Calculator)

> Source: https://netray.co/tools/production-capacity-calculator-shifts-efficiency-bottleneck
> Publisher: Netray (netray.co), AI and integration engineering for ERP and manufacturing systems.
> Section: Free Tools

## Short answer

Calculate machine and line capacity from machines, cycle times, shifts and OEE. Finds the bottleneck work center and shows annual output, utilization and shifts needed.

## Category

manufacturing

## Audience

- Production planner
- Industrial engineer
- Estimator

## Tool

**Kind:** calculator

**Inputs:**

#### Station 1: machines

**Key:** m1

**Type:** number

**Default:** 4

**Min:** 0

**Step:** 1

#### Station 1: cycle time per part

**Key:** ct1

**Type:** number

**Default:** 90

**Min:** 1

**Step:** 1

**Unit:** sec

**Help:** Ideal cycle time per part on one machine

#### Station 2: machines

**Key:** m2

**Type:** number

**Default:** 2

**Min:** 0

**Step:** 1

#### Station 2: cycle time per part

**Key:** ct2

**Type:** number

**Default:** 55

**Min:** 1

**Step:** 1

**Unit:** sec

#### Station 3: machines

**Key:** m3

**Type:** number

**Default:** 3

**Min:** 0

**Step:** 1

#### Station 3: cycle time per part

**Key:** ct3

**Type:** number

**Default:** 120

**Min:** 1

**Step:** 1

**Unit:** sec

#### Hours per shift

**Key:** hrs

**Type:** number

**Default:** 8

**Min:** 1

**Max:** 12

**Step:** 0.5

**Unit:** h

#### Shifts per day

**Key:** shifts

**Type:** select

**Default:** 2

**Options:**

##### 1 shift

**Value:** 1

##### 2 shifts

**Value:** 2

##### 3 shifts

**Value:** 3

#### Working days per week

**Key:** days

**Type:** number

**Default:** 5

**Min:** 1

**Max:** 7

**Step:** 1

#### Working weeks per year

**Key:** weeks

**Type:** number

**Default:** 48

**Min:** 1

**Max:** 52

**Step:** 1

#### Availability

**Key:** avail

**Type:** slider

**Default:** 88

**Min:** 40

**Max:** 100

**Step:** 1

**Unit:** %

**Help:** Run time divided by planned time

#### Performance

**Key:** perf

**Type:** slider

**Default:** 90

**Min:** 40

**Max:** 100

**Step:** 1

**Unit:** %

#### Quality (first pass yield)

**Key:** qual

**Type:** slider

**Default:** 97

**Min:** 50

**Max:** 100

**Step:** 1

**Unit:** %

#### Annual demand

**Key:** demand

**Type:** number

**Default:** 120000

**Min:** 0

**Step:** 1000

**Unit:** parts

**Outputs:**

#### Station 1 ideal rate

**Key:** r1

**Expr:** m1 * 3600 / ct1

**Format:** number

**Description:** Parts per hour at ideal cycle time

#### Station 2 ideal rate

**Key:** r2

**Expr:** m2 * 3600 / ct2

**Format:** number

#### Station 3 ideal rate

**Key:** r3

**Expr:** m3 * 3600 / ct3

**Format:** number

#### Bottleneck rate

**Key:** bn

**Expr:** min(r1, min(r2, r3))

**Format:** number

**Description:** The slowest station sets the line rate

#### OEE

**Key:** oee

**Expr:** avail * perf * qual / 10000

**Format:** percent

#### Scheduled hours per year

**Key:** hours

**Expr:** hrs * shifts * days * weeks

**Format:** number

#### Annual good-part capacity

**Key:** cap

**Expr:** bn * hours * oee / 100

**Format:** integer

**Primary:** true

**Description:** Bottleneck rate x scheduled hours x OEE

#### Utilization against demand

**Key:** util

**Expr:** if(gt(cap,0), demand / cap * 100, 0)

**Format:** percent

**Primary:** true

**Chart:**

#### Annual capacity vs availability

**Type:** line

**X:** avail

**From:** 50

**To:** 100

**Steps:** 26

**Series:**

- cap

**Disclaimer:** Planning estimate. Real capacity depends on product mix, changeovers and buffers between stations. Validate against measured throughput.

## Content

**Intro:** To calculate production capacity, find the slowest station, multiply its rate by the hours you schedule, then apply OEE to get good parts. This calculator does that for a three-station line and compares the result to your annual demand.

**Sections:**

#### The production capacity formula

**Body:** Machine capacity per hour = number of machines x 3600 / cycle time in seconds. The line is limited by its slowest station, so line rate = the minimum station rate. Scheduled hours = hours per shift x shifts x days x weeks. Good-part capacity = line rate x scheduled hours x OEE, where OEE = availability x performance x quality. Utilization is demand divided by capacity. For one machine, set the other stations to a very fast cycle time or the same values.

**Bullets:**

- Station rate = machines x 3600 / cycle time (sec)
- Line rate = minimum of the station rates
- OEE = availability x performance x quality
- Capacity = line rate x hours x OEE

#### Worked example

**Body:** Station 1 has 4 machines at 90 sec, giving 160 parts per hour. Station 2 has 2 machines at 55 sec, giving about 131 parts per hour. Station 3 has 3 machines at 120 sec, giving 90 parts per hour, so station 3 is the bottleneck. With 2 shifts of 8 hours, 5 days and 48 weeks that is 3,840 hours. OEE of 88 x 90 x 97 is about 76.8 percent. Capacity is 90 x 3,840 x 0.768, roughly 265,000 good parts, so demand of 120,000 is about 45 percent utilization.

#### Using the bottleneck and the chart

**Body:** Improving a non-bottleneck station adds no capacity. Add a machine or cut cycle time at the bottleneck and re-run the calculation. The chart shows how annual capacity moves with availability, so you can see what a maintenance improvement is worth before spending on it. Also compare shifts: moving from 1 to 2 shifts doubles scheduled hours but not necessarily output if staffing or tooling limits apply.

#### Common mistakes

**Body:** The most common mistake is using nameplate cycle time with 100 percent efficiency. Another is ignoring changeovers in high-mix work, where setup hours can take a third of the time. Plant capacity also depends on material, labor and inspection, not just machines. For job shops, convert each operation to hours on the routing and plan by work center rather than by a single part rate.

**Cta:** If your cycle times, routings and actuals already sit in an ERP or MES, Netray can add a private AI layer on your own servers so planners can ask for bottlenecks and utilization in plain language.

**Faq:**

#### What is the difference between capacity and utilization?

**Answer:** Capacity is the maximum good output the system can produce in a period. Utilization is how much of that capacity your demand or schedule uses. A line with 200,000 parts of capacity and 120,000 parts of demand has 60 percent utilization.

#### How do I find the bottleneck work center?

**Answer:** Convert every station to parts per hour including the number of machines, then pick the lowest. In a routing-based shop, the bottleneck is the work center with the highest load to available hours ratio.

#### Should I use OEE or a simple efficiency number?

**Answer:** OEE is better when you have data for availability, performance and quality. If not, a single efficiency figure from historic actual versus standard hours is acceptable for planning, but be explicit about the assumption.

#### How do I calculate capacity for one machine?

**Answer:** Set machines to 1 on the first station and enter the same machine count and cycle time on the others, or very short cycle times. Then read annual good-part capacity, which is then the single machine figure.

## Search terms

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