How to calculate process performance (Pp & Ppk)?

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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How to measure process performance (Pp & Ppk)?

How to measure process performance

How to measure process performance (Pp & Ppk)?

Hello Readers, Today we will learn “how to measure process performance?” Process Performance and its index can be measured by calculating the value manually or by using an Excel sheet or by using the software. In this post, we will calculate the Pp and Ppk value, but you can download the free Excel template or format for your ready reference, this offer is available for a limited time period! Don’t waste your time; just download the Format or Template from the below link. 

DOWNLOAD the Excel Template/Format of Pp & Ppk.

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 excel template. Step-3: Only the yellow color box (mentioned in Template) is changeable and other values will calculate automatically.

How to measure process performance (Pp & Ppk)?

As you know we have already told you that process performance and its index can be easily measured through an Excel sheet or by using the software. For manual calculation, we have to give more attention in basic knowledge and formula part. So, Pp and Ppk formula is given below, kindly go through it.

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 measure process performance
How to measure process performance
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))

Note: Pp ≥ Ppk.

Example:

A process engineer has collected 100 numbers of readings of molten grey cast iron carbon percentage.

Details of readings are given below:

Sl.No. 1 2 3 4 5 6 7 8 9 10
Subgroup1 3.22 3.28 3.21 3.23 3.27 3.24 3.24 3.22 3.24 3.28
Subgroup2 3.21 3.29 3.26 3.23 3.28 3.21 3.26 3.21 3.26 3.29
Subgroup3 3.25 3.23 3.24 3.21 3.29 3.25 3.24 3.23 3.25 3.27
Subgroup4 3.20 3.20 3.25 3.25 3.25 3.26 3.26 3.22 3.26 3.27
Subgroup5 3.21 3.25 3.26 3.28 3.24 3.21 3.28 3.21 3.25 3.28
Data Table-1
11 12 13 14 15 16 17 18 19 20
3.26 3.31 3.28 3.24 3.27 3.21 3.28 3.24 3.27 3.21
3.25 3.20 3.29 3.21 3.28 3.26 3.29 3.21 3.28 3.26
3.24 3.26 3.27 3.25 3.29 3.24 3.23 3.25 3.29 3.24
3.26 3.22 3.27 3.26 3.25 3.25 3.20 3.26 3.25 3.25
3.24 3.22 3.28 3.21 3.24 3.26 3.25 3.21 3.24 3.26
Data Table-1
Calculation:
Characteristics %C
Process: Melting Process
USL 3.3
LSL 3.2
Std. Dev. 0.03
PPU 0.65
PPL 0.61
Pp 0.63
Ppk 0.61

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Process Performance (Pp) & Ppk Excel Template |DOWNLOAD

Process Performance Excel Template

Process Performance Excel Template (Pp & Ppk Format) | DOWNLOAD

Process Performance Excel Template: According to the SPC (Statistical Process Control Manual), the process Performance (Pp) compares the process performance of the process to the maximum allowable variation as indicated by the tolerance. The Pp (Process Performance) provides a measure of how well the process will satisfy the variability requirements. And the Index of process performance is termed as Ppk. It takes the process location as well as the performance into account. Download the Excel Template /Format of Pp & Ppk from the below link.

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

Process Performance Excel Template
Process Performance Excel Template

How to use the Pp & Ppk Excel Format in your process to calculate the index value?

1: Download the Template/ Format from the above links.

2: Read the note mentioned in the Excel template.

3: Only the yellow colour 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]

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))

Note: Pp ≥ Ppk.

Example:

Company XYZ pvt ltd is interested to know the process performance of moulding process that, how well the process is performing and satisfies the variability requirements of mould hardness. The process engineer has collected the total 100 numbers of readings considering with subgroup size 5. Readings are given below;

Sl.No. 1 2 3 4 5 6 7 8 9 10
Subgroup1 63.00 61.00 65.00 62.00 65.00 63.00 65.00 64.00 63.00 65.00
Subgroup2 63.00 62.00 64.00 62.00 66.00 64.00 65.00 62.00 64.00 62.00
Subgroup3 62.00 63.00 65.00 65.00 65.00 62.00 62.00 65.00 62.00 62.00
Subgroup4 63.00 66.00 64.00 64.00 65.00 63.00 62.00 63.00 65.00 64.00
Subgroup5 64.00 65.00 63.00 63.00 65.00 62.00 62.00 62.00 62.00 62.00
11 12 13 14 15 16 17 18 19 20
61.00 63.00 62.00 63.00 62.00 66.00 62.00 62.00 63.00 65.00
64.00 63.00 63.00 63.00 62.00 65.00 67.00 62.00 64.00 64.00
62.00 68.00 65.00 66.00 64.00 64.00 64.00 64.00 62.00 65.00
63.00 68.00 64.00 68.00 64.00 66.00 67.00 64.00 63.00 64.00
62.00 64.00 63.00 64.00 62.00 65.00 62.00 65.00 62.00 63.00
Characteristics Mould Hardness
Process: Moulding Process
USL 70
LSL 60
Pp 1.06
Ppk 0.8

In the above example, the value of Ppk (0.8) is indicating that the process needs further improvement. The start-up process requires at least 1.33 and next to 1.67 and 2 onward.

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