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How to calculate process performance (Pp & Ppk)?

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How to calculate process performance

How to calculate process performance (Pp & Ppk)?

Hi Readers! Today we will discuss on How to calculate process performance? The Pp (Process Performance) provides a measure of how well the process will satisfy the variability requirements. The Index of process performance is termed as Ppk. It takes the process location as well as the performance into account. Before discussing on calculation part, I would request my all readers kindly go through the formula of Pp and Ppk. And if you are interested in downloading our free Excel template then click on the below download link.

DOWNLOAD Excel Template/Format of Pp & Ppk calculation with Example.

How to use Pp & Ppk Template / Format in your process to calculate the index value?   Step-1: Download the Template/ Format from the above links. Step-2: Read the note mentioned in the excel template. Step-3: Only the yellow color box (mentioned in format) is changeable and other values will calculate automatically.

The formula of Pp (Process Performance):

Pp = ((USL-LSL)/ (6 X S))

[Where USL=Upper specification limit, LSL=Lower specification limit, and S= Standard Deviation]

How to calculate process performance
How to calculate process performance
Formula of Ppk (Process Performance Index):

Ppk = Minimum of PPU or PPL

PPU= ((USL-Average of average)/ (3 X S))

PPL= ((Average of average-LSL)/ (3 X S))

Note: Pp ≥ Ppk.

Example:

A Company ZYX Ltd has collected 100 numbers readings of Pouring temperature having the specification range from 1420°C to 1400°C and calculates the process performance and its index to know the performance of a process, which means how well it satisfies the variability requirement. So we have the 100 numbers of reading and we will calculate the Pp & Ppk value;

Sl.
No. 		1 2 3 4 5 6 7 8
SG1 1409 1410 1412 1410 1408 1414 1413 1411
SG2 1408 1410 1412 1410 1408 1414 1413 1411
SG3 1408 1409 1411 1410 1405 1413 1411 1410
SG4 1406 1409 1410 1409 1405 1413 1411 1410
SG5 1406 1408 1410 1409 1404 1412 1411 1410
Table-1

Note: SG=Subgroup

9 10 11 12 13 14 15 16
1413 1408 1413 1412 1410 1409 1412 1408
1413 1408 1413 1412 1410 1408 1412 1408
1411 1405 1411 1410 1410 1408 1411 1405
1411 1405 1411 1410 1409 1406 1410 1405
1410 1404 1411 1410 1409 1406 1410 1404
Table-1
17181920
1412140814101408
1412140814101408
1411140514101405
1410140514091405
1410140414091404
Table-1
Calculation:

Pp=20/ (6 X 2.69) =1.24

PPU= (1420-1409.04)/ (3 X 2.69) =1.36

PPL= (1409.04-1400)/ (3 X 2.69) =1.12

Ppk=1.12 (Minimum of PPU or PPL).

Sample Format:

How to calculate process performance
DOWNLOAD-Pp & Ppk Excel Template
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Process Performance Example (Pp) & Ppk |Download Format

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Process Performance Example

Process Performance Example (Pp) & Ppk |Download Format

Hello Readers! Today we will discuss and measure the process performance (Pp) and its index (Ppk) with industrial examples. If you are interested in gaining basic knowledge about Process Performance, then go through the below link and also on this platform you can download the Excel templates or formats. details have been illustrated with a Process Performance Example.

DOWNLOAD EXCEL TEMPLATE (Pp & Ppk and many more.)

Example-1:

We are having 100 numbers of readings of Total clay of green sand used in the metal manufacturing industry. Details of the reading are given below;

Sl.No. 1 2 3 4 5 6 7 8 9 10
Subgroup1 12.50 12.70 12.80 12.90 12.80 12.90 12.80 13.00 12.90 12.70
Subgroup2 12.50 12.90 12.90 12.90 12.80 12.90 12.70 13.10 12.90 12.90
Subgroup3 12.50 12.80 12.50 12.90 12.90 12.80 12.90 12.90 12.90 12.80
Subgroup4 12.80 12.80 12.80 13.10 12.90 12.80 12.80 12.80 13.10 12.80
Subgroup5 12.60 12.80 12.70 13.00 12.70 12.70 12.80 12.80 13.00 12.80
Table-1
11 12 13 14 15 16 17 18 19 20
12.80 13.00 12.70 12.90 12.80 12.70 12.90 12.80 13.00 12.70
12.80 13.10 12.90 12.90 12.80 12.90 12.90 12.80 13.10 12.90
12.90 12.90 12.80 12.90 12.90 12.80 12.90 12.90 12.90 12.80
12.90 12.80 12.80 13.10 12.90 12.80 13.10 12.90 12.80 12.80
12.70 12.80 12.80 13.00 12.70 12.80 13.00 12.70 12.80 12.80
Table-1
Process parameters;
Characteristics Total clay of green sand
Process: Sand Preparation Process
USL 14
LSL 12
Calculation:

The formula of Pp (Process Performance):

Pp = ((USL-LSL)/ (6 X S))

= (14-12)/ (6 X 0.13) = 2.64.

The Formula of Ppk (Process Performance Index):

Ppk = Minimum of PPU or PPL

PPU= ((USL-Average of average)/ (3 X S))

PPL= ((Average of average-LSL)/ (3 X S))

Ppk= Minimum of PPU or PPL = Min. (3.06, 2.22) = 2.22

Summary of calculation:
Process Performance Example
Process Performance Example

Note: Click here to know more about manual calculation and download the free excel template from the above link.

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