# VARIABLES CONTROL CHARTS PS. SUPERVISOR JAMINAN MUTU PANGAN PROGRAM DIPLOMA - IPB.

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VARIABLES CONTROL CHARTS PS. SUPERVISOR JAMINAN MUTU PANGAN PROGRAM DIPLOMA - IPB

Subgrup (i) PengukuranPerhitungan x1ix1i x2ix2i...x nk RiRi sisi 1 x 11 x 21...xn1xn1 R1R1 s1s1 2 x 12 x 22...xn2xn2 R2R2 s2s2 3 x 13 x 23...xn3xn3 R3R3 s3s3.......................................... k x1kx1k x2kx2k x nk RkRk sksk

Rumus Perhitungan Centerline

R Chart

s Chart

CenterlineUCLLCL R Chart

CONTOH KASUS Dari berbagai batch yang dihasilkan automatic filling machine pada periode tanggal 8 – 12 Mei, setiap harinya diambil 4 kemasan produk per batch untuk diukur volumenya.

TglBatchx1x1 x2x2 x3x3 x4x4 x-barR 8 Mei1288294278294 288.516 2277296277 281.819 3302287300288 294.315 4295278286280 284.817 5276296304296 293.028 9 Mei1295300282295 293.018 2281298292294 291.317 3300 299302 300.33 4296297295296 296.02 5288282291300 290.318 10 Mei1283300296278 289.322 2295303299 299.08 3279282288282 282.89 4300284300 296.016 11 Mei1274294274295 284.321 2283295299303 295.020 3299296293296 296.06 4304299288314 301.326 12 Mei1298307284298 296.823 2296298297285 294.013 Untuk n = 4 : A 2 = 0.729 D 4 = 2.282 D 3 = 0 Centerline =292.3615.85 UCL =303.9136.16 LCL =280.820.00

TEST 5. 2 out of 3 points more than 2 standard deviations from center line (on one side of CL). Test Failed at points: 15

CenterlineUCLLCL s Chart

Tgl Batchx1x1 x2x2 x3x3 x4x4 x-bars 8 Mei 1288294278294 288.57.5 2277296277 281.89.5 3302287300288 294.37.8 4295278286280 284.87.6 5276296304296 293.011.9 9 Mei 1295300282295 293.07.7 2281298292294 291.37.3 3300 299302 300.31.3 4296297295296 296.00.8 5288282291300 290.37.5 10 Mei 1283300296278 289.310.4 2295303299 299.03.3 3279282288282 282.83.8 4300284300 296.08.0 11 Mei 1274294274295 284.311.8 2283295299303 295.08.6 3299296293296 296.02.4 4304299288314 301.310.8 12 Mei 1298307284298 296.89.5 2296298297285 294.06.1 Untuk n = 4 : A 3 = 1.628 B 4 = 2.266 B 3 = 0 Centerline =292.367.2 UCL =304.0716.29 LCL =280.440.00

TEST 5. 2 out of 3 points more than 2 standard deviations from center line (on one side of CL). Test Failed at points: 15

CenterlineUCLLCL

Tgl Batchx1x1 x2x2 x3x3 x4x4 MedianR 8 Mei 1288294278294 291.016 2277296277 277.019 3302287300288 294.015 4295278286280 283.017 5276296304296 296.028 9 Mei 1295300282295 295.018 2281298292294 293.017 3300 299302 300.03 4296297295296 296.02 5288282291300 289.518 10 Mei 1283300296278 289.522 2295303299 299.08 3279282288282 282.09 4300284300 300.016 11 Mei 1274294274295 284.021 2283295299303 297.020 3299296293296 296.06 4304299288314 301.526 12 Mei 1298307284298 298.023 2296298297285 296.513 Untuk n = 4 : A 5 = 0.828 D 6 = 2.33 D 5 = 0 Centerline =295.517.0 UCL =309.639.6 LCL =281.40.00

275.0 280.0 285.0 290.0 295.0 300.0 305.0 310.0 315.0 1234567891011121314151617181920 Batch Sample Median UCL = 309.6 LCL = 281.4

R Chart Volume Produk UCL = 39.6 LCL = 0.0

Standard given : CenterlineUCLLCL

Latihan : Misalnya untuk Contoh Kasus Automatic filling machine diketahui bahwa :

TglBatchx1x1 x2x2 x3x3 x4x4 x-barRs 8 Mei1288294278294 288.5167.5 2277296277 281.8199.5 3302287300288 294.3157.8 4295278286280 284.8177.6 5276296304296 293.02811.9 9 Mei1295300282295 293.0187.7 2281298292294 291.3177.3 3300 299302 300.331.3 4296297295296 296.020.8 5288282291300 290.3187.5 10 Mei1283300296278 289.32210.4 2295303299 299.083.3 3279282288282 282.893.8 4300284300 296.0168.0 11 Mei1274294274295 284.32111.8 2283295299303 295.0208.6 3299296293296 296.062.4 4304299288314 301.32610.8 12 Mei1298307284298 296.8239.5 2296298297285 294.0136.1 Untuk n = 4 : A = 1.500 D 1 = 0 D 2 = 4.698 B 5 = 0 B 6 = 2.088 d 2 = 2.059 c 4 = 0.9213 Centerline =300.010.34.6 UCL =307.523.510.4 LCL =292.50.0

Test Results for Xbar Chart TEST 1. One point more than 3.00 standard deviations from center line. Test Failed at points: 1, 2, 4, 7, 10, 11, 13, 15 TEST 2. 9 points in a row on same side of center line. Test Failed at points: 17 TEST 5. 2 out of 3 points more than 2 standard deviations from center line (on one side of CL). Test Failed at points: 2, 3, 4, 5, 6, 7, 11, 13, 15 TEST 6. 4 out of 5 points more than 1 standard deviation from center line (on one side of CL). Test Failed at points: 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20 Test Results for R Chart TEST 1. One point more than 3.00 standard deviations from center line. Test Failed at points: 5, 18

Test Results for Xbar Chart TEST 1. One point more than 3.00 standard deviations from center line. Test Failed at points: 1, 2, 4, 7, 10, 11, 13, 15 TEST 2. 9 points in a row on same side of center line. Test Failed at points: 17 TEST 5. 2 out of 3 points more than 2 standard deviations from center line (on one side of CL). Test Failed at points: 2, 3, 4, 5, 6, 7, 11, 13, 15 TEST 6. 4 out of 5 points more than 1 standard deviation from center line (on one side of CL). Test Failed at points: 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20 Test Results for S Chart TEST 1. One point more than 3.00 standard deviations from center line. Test Failed at points: 5, 15, 18

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