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EWMA and Cusum Control Charts for Temperature Monitoring, Exercises of Quality Management

United International CollegeQuality Management

Statistical process control charts, specifically ewma (exponentially weighted moving average) and cusum (cumulative sum) charts, applied to temperature control in coffee roasting. It includes data tables and graphs illustrating the application of these charts to monitor and manage temperature variations. A practical example of how statistical methods can be used to improve process stability and reduce variability in industrial settings. It is useful for understanding the implementation and interpretation of control charts in quality control and process optimization. The document also shows how to calculate control limits and interpret the data points in relation to these limits, providing a clear understanding of process behavior and potential areas for improvement. A valuable resource for students and professionals in statistics, engineering, and quality management.

Typology: Exercises

2024/2025

Uploaded on 07/16/2025

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Column1 Column2 Column3 Column4 Column13 Column6
Period i Xi Xi-200,5 Ci+ N+ 199,5-Xi
1196.10 -4.40 0 0 3.4
2197.38 -3.12 0 0 2.12
3199.20 -1.3 0 0 0.3
4198.70 -1.8 0 0 0.8
5198.14 -2.36 0 0 1.36
6200.20 -0.3 0 0 -0.7
7199.20 -1.3 0 0 0.3
8200.82 0.32 0.32 1 -1.32
9200.10 -0.4 0 0 -0.6
10 199.34 -1.16 0 0 0.16
11 201.00 0.5 0.5 1 -1.5
12 199.30 -1.2 0 0 0.2
13 201.70 1.2 1.2 1 -2.2
14 200.46 -0.04 1.16 2 -0.96
15 199.70 -0.8 0.36 3 -0.2
16 201.16 0.66 1.02 4 -1.66
17 202.60 2.1 3.12 5 -3.1
18 201.70 1.2 4.32 6 -2.2
19 201.50 1 5.32 7 -2
20 202.60 2.1 7.42 8 -3.1
21 201.50 1 8.42 9 -2
22 202.88 2.38 10.8 10 -3.38
23 204.00 3.5 14.3 11 -4.5
24 203.20 2.7 17 12 -3.7
25 203.90 3.4 20.4 13 -4.4
26 204.46 3.96 24.36 14 -4.96
27 203.10 2.6 26.96 15 -3.6
28 203.80 3.3 30.26 16 -4.3
29 204.90 4.4 34.66 17 -5.4
30 206.00 5.5 40.16 18 -6.5
Column1 Column2
Mu0 200
Sigma 1
K 0.5
H 5
L 2.7
lamda 0.1
Subgroup i Xi Zi CL UCL LCL
1196.10 199.61 200 200.27 199.73
2197.38 199.39 200
200.363247849
199.636752151
3199.20 199.37 200
200.424003172
199.575996828
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Period i Xi Xi-200,5 Ci+ N+ 199,5-Xi

Biểu đồ Cusum kiểm soát các dao đ

cà phê

Ci+ Ci- Y=

Biểu đồ EWMA kiểm soát các

Biểu đồ EWMA kiểm soát các

A kiểm soát các dao động của lỗi nhiệt độ rang cà phê

  • Column1 Column2 Column3 Column4 Column13 Column - 1 196.10 -4.40 0 0 3. - 2 197.38 -3.12 0 0 2. - 3 199.20 -1.3 0 0 0. - 4 198.70 -1.8 0 0 0. - 5 198.14 -2.36 0 0 1. - 6 200.20 -0.3 0 0 -0. - 7 199.20 -1.3 0 0 0. - 8 200.82 0.32 0.32 1 -1. - 9 200.10 -0.4 0 0 -0.
    • 10 199.34 -1.16 0 0 0.
    • 11 201.00 0.5 0.5 1 -1.
    • 12 199.30 -1.2 0 0 0.
    • 13 201.70 1.2 1.2 1 -2.
    • 14 200.46 -0.04 1.16 2 -0.
    • 15 199.70 -0.8 0.36 3 -0.
    • 16 201.16 0.66 1.02 4 -1.
    • 17 202.60 2.1 3.12 5 -3.
    • 18 201.70 1.2 4.32 6 -2.
    • 19 201.50 1 5.32 7 -
    • 20 202.60 2.1 7.42 8 -3.
    • 21 201.50 1 8.42 9 -
    • 22 202.88 2.38 10.8 10 -3.
    • 23 204.00 3.5 14.3 11 -4.
    • 24 203.20 2.7 17 12 -3.
    • 25 203.90 3.4 20.4 13 -4.
    • 26 204.46 3.96 24.36 14 -4.
    • 27 203.10 2.6 26.96 15 -3.
    • 28 203.80 3.3 30.26 16 -4.
    • 29 204.90 4.4 34.66 17 -5.
    • 30 206.00 5.5 40.16 18 -6.
  • Column1 Column
  • Mu0
  • Sigma
  • K 0.
  • H
  • L 2.
  • lamda 0. - 1 196.10 199.61 200 200.27 199. Subgroup i Xi Zi CL UCL LCL - 2 197.38 199.39 200 200.363247849 199. - 3 199.20 199.37 200 200.424003172 199.
    • 4 198.70 199.30 200 200.467462019 199.
    • 5 198.14 199.19 200 200.499901789 199.
    • 6 200.20 199.29 200 200.524709879 199.
    • 7 199.20 199.28 200 200.543975707 199.
    • 8 200.82 199.43 200 200.559094582 199.
    • 9 200.10 199.50 200 200.571047519 199.
  • 10 199.34 199.48 200 200.580549023 199.
  • 11 201.00 199.63 200 200.588132728 199.
  • 12 199.30 199.60 200 200.594204582 199.
  • 13 201.70 199.81 200 200.599077674 199.
  • 14 200.46 199.88 200 200.60299601 199.
  • 15 199.70 199.86 200 200.606151295 199.
  • 16 201.16 199.99 200 200.608695086 199.
  • 17 202.60 200.25 200 200.61074779 199.
  • 18 201.70 200.39 200 200.612405437 199.
  • 19 201.50 200.51 200 200.613744849 199.
  • 20 202.60 200.71 200 200.614827634 199.
  • 21 201.50 200.79 200 200.615703293 199.
  • 22 202.88 201.00 200 200.616411666 199.
  • 23 204.00 201.30 200 200.616984851 199.
  • 24 203.20 201.49 200 200.617448742 199.
  • 25 203.90 201.73 200 200.617824237 199.
  • 26 204.46 202.01 200 200.618128222 199.
  • 27 203.10 202.11 200 200.61837434 199.
  • 28 203.80 202.28 200 200.618573623 199.
  • 29 204.90 202.54 200 200.618734996 199.
  • 30 206.00 202.89 200 200.618865677 199.
  • Column7 Column14 Column9 Column10 Column11 Column - 3.4 1 -3.4 0 5 - Ci- N- TO PLOT Y=0 Y=+H Y=-H
    • 5.52 2 -5.52 0 5 -
    • 5.82 3 -5.82 0 5 -
    • 6.62 4 -6.62 0 5 -
    • 7.98 5 -7.98 0 5 -
    • 7.28 6 -7.28 0 5 -
    • 7.58 7 -7.58 0 5 -
    • 6.26 8 -6.26 0 5 -
    • 5.66 9 -5.66 0 5 -
    • 5.82 10 -5.82 0 5 -
    • 4.32 11 -4.32 0 5 -
    • 4.52 12 -4.52 0 5 -
    • 2.32 13 -2.32 0 5 -
    • 1.36 14 -1.36 0 5 -
    • 1.16 15 -1.16 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 - - 0 0 0 0 5 -
      • 199.39199.37199.
          • 199.29199.
            • 199.43199.50199.
              • 199.63199.
                • 199.81
  • 199.50199.
    • 199.63199.
      • 199.81199.88199.
                • 200.71200.
                    • 201. - 201. - 201. - 202. - 202. - 202.

ng cà phê