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Bottleneck calculator

A bottleneck is the step in a process with the least capacity, so it sets the output of the whole line. Each step's capacity is the number of machines or operators × 3,600 ÷ its cycle time in seconds × its uptime. The lowest of those is the bottleneck and the most the line can make per hour.

Step capacity per hourequalsMachines × 3,600 divided by Cycle time (s) × Uptime

Line capacityequalsLowest step capacity (the bottleneck)

Utilization of a stepequalsLine capacity divided by Step capacity

Cycle time is what one machine or operator takes per unit. Uptime is the share of time the step can really run, so a step that is down 10% of the day has 90% uptime.

After breaks

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Each step, in process order
  1. Step 1
  2. Step 2
  3. Step 3
  4. Step 4

Pre-filled with the worked example. Cycle time is what one machine or operator takes per unit; uptime is the share of the day the step can really run, after breakdowns, changeovers and waiting for material.

Bottleneck

Step 2

64.8 units an hour: the most the whole line can make.

Line capacity

64.8 / h

The bottleneck's capacity

Units per day

518

At 8 hours a day

Share of demand met

94.3%

32 units a day short

Cycle time step 2 needs

47.1 s

Down from 50 s, to meet demand

Capacity of each step, and how busy it is at the bottleneck's pace

Step 1120 / h · 54% busy
Step 264.8 / h · 100% busy
Step 372 / h · 90% busy
Step 490 / h · 72% busy

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How to calculate it

Three numbers for each step

Cycle time is the time one machine or operator takes to finish one unit at that step. Time it on the floor rather than taking the standard from the routing; the two often differ.

Machines are the identical machines, booths or operators doing the same step side by side. Two welders working in parallel double the step's capacity.

Uptime is the share of the day the step can actually run after breakdowns, changeovers and waiting for material. This is where a step that looks fast on paper often turns out to be the real limit; the MTBF and MTTR calculator gives availability from breakdown data.

Add demand per day to see whether the line keeps up, and what cycle time the bottleneck would need. To spread work evenly across stations against takt time instead, use the line balancing calculator.

Worked example

Illustrative numbers, not a benchmark

A line with four steps runs 8 hours a day and needs to make 550 units: cutting (30 s, one machine, 100% uptime), welding (50 s, one welder, 90%), painting (90 s, two booths, 90%) and assembly (40 s, one operator, 100%).

  1. 1Cutting = 1 × 3,600 ÷ 30 × 1.0 = 120 units an hour.
  2. 2Welding = 1 × 3,600 ÷ 50 × 0.9 = 64.8 units an hour.
  3. 3Painting = 2 × 3,600 ÷ 90 × 0.9 = 72 units an hour. Assembly = 3,600 ÷ 40 = 90.
  4. 4Bottleneck = welding at 64.8 an hour, so 64.8 × 8 = 518 units a day.
  5. 5518.4 ÷ 550 = 94.3% of demand: 32 units a day short.
Welding is the bottleneck, 32 units a day short. Painting has the longest cycle time but two booths. To meet 550 a day (68.75 an hour), welding needs a 47.1 second cycle (3,600 × 0.9 ÷ 68.75), or its uptime raised to about 96%. Either way welding is still the bottleneck, now just keeping up, and painting is next in line at 72 an hour, or 576 a day.

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