Research Article
Max-EWMA Chart Using Beta and Unit Nadarajah and Haghighi Distributions
Table 5
ARL results of the Max-EWMA control chart for pure shifts in the rate parameter of UNH distribution (
) when
, , , , , , and
(0.05, 0.10, 0.15).
| | | | | | | | | | | | | | | | | | | | | |
| | = 370 | = 500 | | Case 1 | | = 290 | | 0.05 | 2.688 | 0.1811987 | 0.0092639 | 1.00 | 1.00 | 370.573 | 357.498 | 53.00 | 118.00 | 261.00 | 501.00 | 831.00 | 2.893 | 500.062 | 482.891 | 66.00 | 154.00 | 349.00 | 688.00 | 1135.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 1.10 | 275.766 | 256.510 | 43.00 | 93.00 | 198.00 | 375.25 | 605.10 | 2.893 | 363.681 | 343.580 | 54.00 | 118.00 | 258.00 | 500.00 | 821.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 1.20 | 196.429 | 182.839 | 34.00 | 67.00 | 140.00 | 264.00 | 436.00 | 2.893 | 247.367 | 232.615 | 41.00 | 82.00 | 175.00 | 336.00 | 548.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 1.30 | 139.191 | 124.517 | 28.00 | 52.00 | 102.00 | 185.00 | 302.00 | 2.893 | 168.486 | 151.319 | 32.00 | 62.00 | 123.00 | 227.00 | 364.10 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 1.40 | 103.370 | 88.999 | 24.00 | 41.00 | 76.00 | 137.00 | 217.00 | 2.893 | 125.446 | 109.097 | 28.00 | 49.00 | 94.00 | 166.00 | 266.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 0.90 | 380.233 | 362.264 | 55.00 | 120.00 | 267.00 | 525.00 | 863.00 | 2.893 | 542.425 | 515.735 | 73.00 | 171.00 | 383.00 | 758.00 | 1228.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 0.80 | 277.300 | 254.584 | 48.00 | 94.00 | 200.00 | 379.00 | 617.00 | 2.893 | 388.229 | 363.738 | 61.00 | 130.00 | 278.00 | 531.00 | 857.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 0.70 | 168.377 | 145.633 | 38.00 | 65.00 | 125.50 | 222.00 | 356.00 | 2.893 | 218.803 | 191.192 | 45.00 | 83.00 | 161.00 | 294.00 | 471.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 0.60 | 97.526 | 75.466 | 29.00 | 45.00 | 75.00 | 126.00 | 194.00 | 2.893 | 120.841 | 96.295 | 34.00 | 54.00 | 91.00 | 160.00 | 247.00 | | 0.05 | | 0.1811987 | 0.0092639 | 1.00 | 0.50 | 60.585 | 39.270 | 24.00 | 33.00 | 49.00 | 77.00 | 112.00 | 2.893 | 70.174 | 47.079 | 27.00 | 37.00 | 57.00 | 89.00 | 131.00 | | 0.10 | 3.016 | 0.2591350 | 0.0188482 | 1.00 | 1.00 | 371.465 | 363.243 | 47.00 | 113.00 | 257.00 | 516.00 | 844.10 | 3.203 | 499.944 | 506.414 | 61.00 | 147.00 | 341.00 | 683.00 | 1137.10 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 1.10 | 277.474 | 270.951 | 38.00 | 85.75 | 194.00 | 380.00 | 631.00 | 3.203 | 368.698 | 354.652 | 48.00 | 112.00 | 257.50 | 514.00 | 839.00 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 1.20 | 201.030 | 191.178 | 31.00 | 65.00 | 143.00 | 274.00 | 451.00 | 3.203 | 255.791 | 250.919 | 34.00 | 80.00 | 177.00 | 350.00 | 578.00 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 1.30 | 152.240 | 142.384 | 25.00 | 51.00 | 109.00 | 206.00 | 338.00 | 3.203 | 185.327 | 175.828 | 28.00 | 60.00 | 131.00 | 256.00 | 425.00 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 1.40 | 113.700 | 105.142 | 20.00 | 40.00 | 82.50 | 154.00 | 248.00 | 3.203 | 141.154 | 132.326 | 24.00 | 47.00 | 101.00 | 191.00 | 312.00 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 0.90 | 458.108 | 445.842 | 56.00 | 139.00 | 321.00 | 627.25 | 1055.00 | 3.203 | 647.926 | 641.453 | 76.00 | 185.00 | 448.00 | 898.25 | 1477.10 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 0.80 | 495.728 | 491.199 | 59.00 | 147.00 | 347.00 | 680.00 | 1138.00 | 3.203 | 708.437 | 708.279 | 82.00 | 206.00 | 490.00 | 974.00 | 1634.00 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 0.70 | 405.167 | 389.608 | 56.00 | 126.00 | 286.00 | 556.00 | 924.00 | 3.203 | 621.378 | 612.791 | 76.00 | 187.00 | 435.50 | 852.00 | 1418.10 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 0.60 | 255.970 | 237.172 | 42.00 | 85.75 | 184.00 | 351.00 | 573.00 | 3.203 | 408.923 | 398.240 | 57.00 | 128.00 | 284.00 | 564.00 | 921.10 | | 0.10 | | 0.2591350 | 0.0188482 | 1.00 | 0.50 | 138.681 | 122.552 | 29.00 | 52.00 | 102.00 | 186.00 | 302.00 | 3.203 | 200.831 | 182.690 | 39.00 | 72.00 | 144.00 | 271.00 | 436.00 | | 0.15 | 3.194 | 0.3222067 | 0.0286625 | 1.00 | 1.00 | 370.018 | 367.745 | 41.00 | 107.00 | 255.00 | 514.00 | 841.00 | 3.375 | 500.824 | 493.943 | 56.00 | 148.00 | 350.00 | 692.00 | 1147.00 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 1.10 | 281.864 | 275.657 | 34.90 | 85.00 | 197.00 | 388.00 | 642.00 | 3.375 | 369.772 | 358.802 | 44.00 | 110.75 | 259.50 | 513.00 | 844.00 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 1.20 | 210.801 | 207.508 | 28.00 | 65.00 | 147.00 | 289.00 | 477.10 | 3.375 | 275.598 | 267.448 | 36.00 | 86.00 | 195.00 | 377.00 | 612.10 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 1.30 | 163.088 | 155.850 | 23.00 | 51.00 | 115.00 | 223.00 | 368.10 | 3.375 | 210.116 | 204.681 | 27.00 | 64.00 | 147.00 | 290.00 | 473.00 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 1.40 | 127.313 | 119.817 | 20.00 | 42.00 | 91.00 | 174.00 | 283.00 | 3.375 | 161.527 | 154.700 | 24.00 | 52.00 | 113.00 | 223.00 | 364.00 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 0.90 | 467.071 | 462.089 | 54.00 | 140.00 | 324.00 | 640.00 | 1069.00 | 3.375 | 639.008 | 645.037 | 71.00 | 182.00 | 439.00 | 876.00 | 1462.10 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 0.80 | 560.075 | 554.860 | 64.00 | 165.00 | 391.50 | 764.00 | 1293.10 | 3.375 | 770.296 | 753.522 | 87.00 | 228.00 | 535.00 | 1062.00 | 1789.10 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 0.70 | 628.190 | 618.938 | 70.00 | 181.00 | 442.00 | 868.00 | 1420.00 | 3.375 | 875.939 | 840.822 | 100.00 | 261.00 | 626.50 | 1225.00 | 1972.10 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 0.60 | 679.297 | 663.946 | 79.00 | 203.00 | 475.00 | 951.00 | 1560.10 | 3.375 | 949.448 | 925.339 | 105.00 | 277.00 | 652.00 | 1323.00 | 2191.00 | | 0.15 | | 0.3222067 | 0.0286625 | 1.00 | 0.50 | 650.849 | 634.996 | 75.00 | 191.00 | 450.00 | 909.00 | 1503.00 | 3.375 | 968.948 | 938.952 | 111.00 | 287.00 | 680.50 | 1342.00 | 2215.20 |
| | Case 2 | | = 148 | | 0.05 | 2.701 | 0.1807278 | 0.0092167 | 1.00 | 1.00 | 370.295 | 350.597 | 52.00 | 115.00 | 261.00 | 505.00 | 845.10 | 2.897 | 500.204 | 481.986 | 67.00 | 155.00 | 349.00 | 696.00 | 1126.10 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 1.10 | 279.917 | 261.715 | 43.90 | 93.00 | 200.00 | 384.25 | 617.00 | 2.897 | 362.485 | 349.064 | 53.00 | 115.00 | 260.00 | 491.00 | 812.00 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 1.20 | 195.728 | 178.539 | 34.00 | 68.00 | 141.00 | 266.00 | 432.00 | 2.897 | 243.819 | 223.436 | 41.00 | 83.00 | 176.00 | 335.00 | 538.00 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 1.30 | 141.703 | 125.692 | 29.00 | 52.00 | 103.00 | 192.00 | 305.00 | 2.897 | 169.785 | 153.266 | 33.00 | 61.00 | 122.00 | 230.00 | 369.00 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 1.40 | 104.073 | 87.303 | 25.00 | 43.00 | 77.00 | 139.00 | 217.00 | 2.897 | 121.684 | 105.418 | 28.00 | 47.00 | 90.00 | 163.00 | 254.00 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 0.90 | 386.666 | 366.540 | 57.90 | 125.00 | 272.50 | 537.00 | 866.10 | 2.897 | 534.555 | 518.097 | 74.00 | 169.00 | 376.00 | 733.25 | 1185.00 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 0.80 | 283.406 | 259.622 | 49.00 | 98.00 | 205.00 | 386.00 | 618.00 | 2.897 | 383.357 | 357.417 | 61.00 | 127.00 | 272.00 | 522.00 | 861.10 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 0.70 | 167.946 | 141.532 | 40.00 | 68.00 | 126.00 | 225.00 | 351.00 | 2.897 | 215.062 | 187.642 | 45.00 | 81.00 | 158.00 | 290.00 | 462.10 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 0.60 | 97.644 | 73.457 | 30.00 | 46.00 | 77.00 | 127.00 | 195.00 | 2.897 | 120.166 | 94.545 | 34.00 | 53.00 | 92.00 | 159.00 | 244.00 | | 0.05 | | 0.1807278 | 0.0092167 | 1.00 | 0.50 | 60.271 | 39.976 | 24.00 | 32.00 | 49.00 | 75.00 | 112.00 | 2.897 | 70.694 | 47.116 | 26.00 | 38.00 | 57.00 | 90.00 | 131.00 | | 0.10 | 3.026 | 0.2588440 | 0.0187933 | 1.00 | 1.00 | 370.310 | 356.600 | 45.00 | 110.00 | 259.00 | 508.25 | 837.00 | 3.216 | 500.482 | 483.140 | 61.00 | 152.00 | 355.00 | 690.25 | 1127.10 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 1.10 | 279.088 | 275.968 | 37.00 | 86.00 | 193.00 | 379.25 | 634.00 | 3.216 | 365.686 | 356.043 | 46.00 | 112.00 | 261.00 | 505.00 | 812.10 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 1.20 | 200.743 | 192.860 | 30.00 | 63.00 | 141.00 | 276.00 | 450.00 | 3.216 | 260.586 | 249.147 | 37.00 | 81.00 | 186.00 | 358.00 | 582.00 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 1.30 | 153.841 | 146.293 | 25.00 | 51.00 | 108.00 | 210.00 | 339.00 | 3.216 | 188.833 | 175.100 | 30.00 | 63.00 | 135.00 | 260.00 | 414.00 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 1.40 | 114.635 | 106.448 | 20.00 | 39.00 | 81.00 | 154.00 | 255.00 | 3.216 | 142.412 | 132.537 | 24.00 | 48.75 | 102.00 | 194.00 | 317.00 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 0.90 | 461.591 | 461.066 | 55.00 | 136.00 | 321.00 | 633.00 | 1066.10 | 3.216 | 662.205 | 659.843 | 76.00 | 196.00 | 455.00 | 904.00 | 1534.00 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 0.80 | 493.693 | 479.909 | 63.00 | 150.00 | 350.50 | 686.00 | 1115.00 | 3.216 | 726.713 | 720.792 | 84.00 | 215.00 | 496.00 | 1000.00 | 1677.00 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 0.70 | 411.529 | 393.122 | 55.00 | 126.00 | 290.00 | 573.00 | 941.00 | 3.216 | 636.079 | 623.487 | 81.00 | 199.00 | 440.00 | 874.25 | 1458.00 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 0.60 | 256.340 | 238.785 | 42.00 | 88.00 | 184.00 | 347.00 | 565.10 | 3.216 | 398.609 | 380.957 | 57.00 | 125.75 | 280.00 | 552.00 | 898.10 | | 0.10 | | 0.2588440 | 0.0187933 | 1.00 | 0.50 | 138.216 | 119.378 | 30.00 | 53.00 | 103.00 | 185.00 | 292.00 | 3.216 | 204.418 | 182.858 | 38.00 | 72.00 | 149.50 | 279.00 | 448.00 | | 0.15 | 3.219 | 0.3210252 | 0.0284260 | 1.00 | 1.00 | 370.938 | 365.482 | 45.00 | 112.00 | 262.00 | 514.00 | 833.10 | 3.402 | 500.240 | 496.316 | 57.00 | 150.00 | 350.00 | 683.00 | 1147.10 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 1.10 | 278.925 | 270.286 | 36.00 | 86.00 | 196.00 | 386.00 | 634.00 | 3.402 | 374.851 | 369.294 | 46.00 | 115.75 | 265.50 | 510.00 | 855.10 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 1.20 | 215.047 | 212.127 | 28.00 | 66.00 | 149.00 | 294.00 | 486.10 | 3.402 | 280.266 | 271.608 | 35.00 | 85.00 | 197.00 | 382.00 | 641.00 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 1.30 | 165.950 | 158.131 | 24.00 | 54.00 | 117.00 | 228.00 | 375.00 | 3.402 | 207.611 | 202.413 | 29.00 | 64.00 | 145.00 | 283.00 | 473.00 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 1.40 | 129.763 | 122.665 | 20.00 | 43.00 | 91.00 | 176.00 | 289.00 | 3.402 | 161.220 | 152.633 | 23.00 | 52.00 | 114.00 | 223.00 | 359.10 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 0.90 | 465.124 | 458.120 | 55.00 | 141.75 | 322.00 | 638.00 | 1076.00 | 3.402 | 637.289 | 634.756 | 73.00 | 182.75 | 439.00 | 881.00 | 1453.10 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 0.80 | 559.252 | 551.432 | 65.00 | 165.00 | 393.00 | 766.00 | 1288.00 | 3.402 | 771.209 | 750.574 | 88.00 | 229.00 | 546.00 | 1058.25 | 1766.10 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 0.70 | 643.098 | 641.450 | 71.00 | 188.00 | 446.00 | 882.25 | 1475.00 | 3.402 | 862.040 | 848.184 | 94.90 | 256.00 | 589.00 | 1195.00 | 1991.20 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 0.60 | 672.635 | 671.999 | 73.00 | 197.00 | 465.00 | 934.00 | 1545.10 | 3.402 | 937.013 | 907.997 | 108.00 | 274.00 | 648.00 | 1314.25 | 2162.20 | | 0.15 | | 0.3210252 | 0.0284260 | 1.00 | 0.50 | 662.068 | 644.837 | 75.00 | 198.00 | 470.50 | 916.00 | 1496.00 | 3.402 | 963.555 | 926.447 | 109.00 | 280.00 | 677.00 | 1358.00 | 2205.00 |
| | Case 3 | | = 80 | | 0.05 | 2.686 | 0.1809939 | 0.0093239 | 1.00 | 1.00 | 370.896 | 357.014 | 53.00 | 116.00 | 262.00 | 503.00 | 846.00 | 2.880 | 500.104 | 488.094 | 67.00 | 157.00 | 349.00 | 672.00 | 1140.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 1.10 | 278.111 | 262.563 | 43.00 | 92.00 | 198.00 | 384.00 | 615.10 | 2.880 | 360.789 | 342.777 | 53.90 | 116.00 | 256.50 | 493.25 | 809.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 1.20 | 197.642 | 181.908 | 35.00 | 69.00 | 142.00 | 268.00 | 434.00 | 2.880 | 243.883 | 228.535 | 41.00 | 83.00 | 173.00 | 331.00 | 541.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 1.30 | 141.507 | 124.691 | 29.00 | 54.00 | 104.00 | 189.00 | 304.00 | 2.880 | 170.808 | 151.077 | 33.00 | 63.00 | 125.00 | 231.00 | 369.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 1.40 | 104.505 | 87.294 | 25.00 | 42.00 | 79.00 | 138.00 | 222.00 | 2.880 | 121.032 | 102.857 | 28.00 | 48.00 | 89.00 | 162.00 | 258.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 0.90 | 382.298 | 366.339 | 57.00 | 124.00 | 269.00 | 525.00 | 856.10 | 2.880 | 530.038 | 505.699 | 73.00 | 166.00 | 376.00 | 732.00 | 1192.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 0.80 | 286.985 | 267.418 | 49.00 | 97.00 | 204.00 | 390.25 | 632.00 | 2.880 | 385.073 | 366.673 | 62.00 | 128.00 | 270.00 | 521.00 | 862.10 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 0.70 | 170.829 | 144.735 | 39.00 | 68.00 | 129.00 | 228.00 | 358.00 | 2.880 | 218.556 | 194.095 | 44.00 | 82.00 | 161.00 | 293.00 | 466.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 0.60 | 98.461 | 74.720 | 30.00 | 46.00 | 76.00 | 128.00 | 198.00 | 2.880 | 119.189 | 94.241 | 34.00 | 53.00 | 92.00 | 156.00 | 238.00 | | 0.05 | | 0.1809939 | 0.0093239 | 1.00 | 0.50 | 61.183 | 39.519 | 24.00 | 33.00 | 50.00 | 78.00 | 114.00 | 2.880 | 70.444 | 47.872 | 26.00 | 37.00 | 57.00 | 89.25 | 132.00 | | 0.10 | 3.015 | 0.2595725 | 0.0188190 | 1.00 | 1.00 | 370.785 | 365.286 | 46.00 | 111.00 | 259.00 | 509.00 | 845.00 | 3.204 | 499.594 | 484.227 | 62.00 | 152.00 | 343.00 | 694.00 | 1148.00 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 1.10 | 279.084 | 268.610 | 38.00 | 88.00 | 197.00 | 385.00 | 627.00 | 3.204 | 359.764 | 352.366 | 45.00 | 110.00 | 254.00 | 491.00 | 810.00 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 1.20 | 206.239 | 201.146 | 29.00 | 64.00 | 144.00 | 284.00 | 460.10 | 3.204 | 256.308 | 247.423 | 35.00 | 80.00 | 182.00 | 350.00 | 575.00 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 1.30 | 149.276 | 139.185 | 24.00 | 50.00 | 107.50 | 203.00 | 333.00 | 3.204 | 188.150 | 175.705 | 29.00 | 62.00 | 134.00 | 260.00 | 426.00 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 1.40 | 113.271 | 103.729 | 20.00 | 39.00 | 83.00 | 153.00 | 246.00 | 3.204 | 141.662 | 133.381 | 24.00 | 48.00 | 102.00 | 193.00 | 311.10 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 0.90 | 463.648 | 458.751 | 57.00 | 140.00 | 322.00 | 637.00 | 1061.00 | 3.204 | 640.755 | 638.439 | 73.00 | 190.00 | 449.00 | 875.00 | 1466.10 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 0.80 | 487.131 | 479.471 | 62.00 | 147.00 | 338.00 | 670.00 | 1123.10 | 3.204 | 728.488 | 719.522 | 85.00 | 215.00 | 502.00 | 1022.00 | 1670.20 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 0.70 | 402.950 | 390.484 | 53.00 | 124.00 | 280.00 | 553.00 | 916.10 | 3.204 | 615.552 | 604.052 | 78.00 | 188.00 | 423.00 | 846.00 | 1411.20 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 0.60 | 256.860 | 242.015 | 41.00 | 86.00 | 181.00 | 350.00 | 561.00 | 3.204 | 399.981 | 381.402 | 59.00 | 131.00 | 282.00 | 543.00 | 898.00 | | 0.10 | | 0.2595725 | 0.0188190 | 1.00 | 0.50 | 137.723 | 119.169 | 31.00 | 53.00 | 102.00 | 184.00 | 294.00 | 3.204 | 205.208 | 183.553 | 39.00 | 73.00 | 149.00 | 281.00 | 445.10 | | 0.15 | 3.209 | 0.3224310 | 0.0286744 | 1.00 | 1.00 | 370.858 | 370.921 | 42.00 | 107.00 | 253.00 | 520.00 | 860.00 | 3.387 | 499.567 | 501.873 | 55.00 | 145.00 | 340.00 | 687.00 | 1140.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 1.10 | 286.619 | 281.957 | 36.90 | 84.00 | 200.00 | 394.00 | 655.00 | 3.387 | 373.187 | 364.299 | 45.00 | 112.00 | 259.00 | 520.00 | 848.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 1.20 | 213.605 | 207.133 | 27.00 | 66.00 | 152.00 | 295.00 | 474.10 | 3.387 | 273.618 | 266.659 | 36.00 | 83.00 | 193.00 | 378.00 | 629.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 1.30 | 168.476 | 162.621 | 23.00 | 51.00 | 119.00 | 233.00 | 383.00 | 3.387 | 213.463 | 208.032 | 30.00 | 66.00 | 151.00 | 291.00 | 475.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 1.40 | 129.442 | 121.822 | 20.00 | 43.00 | 93.00 | 178.00 | 287.00 | 3.387 | 160.642 | 156.277 | 23.00 | 51.00 | 112.00 | 218.00 | 359.10 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 0.90 | 467.489 | 462.941 | 51.00 | 137.00 | 329.00 | 645.00 | 1067.10 | 3.387 | 633.217 | 621.956 | 72.00 | 184.00 | 449.50 | 876.00 | 1449.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 0.80 | 551.264 | 541.133 | 65.00 | 164.00 | 386.00 | 759.25 | 1264.00 | 3.387 | 773.699 | 756.148 | 88.00 | 229.00 | 548.00 | 1067.00 | 1751.10 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 0.70 | 635.716 | 631.282 | 72.00 | 188.00 | 445.00 | 877.00 | 1448.00 | 3.387 | 865.832 | 854.561 | 95.00 | 251.00 | 600.00 | 1210.25 | 1978.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 0.60 | 671.370 | 660.939 | 79.00 | 203.00 | 471.00 | 908.00 | 1540.00 | 3.387 | 932.677 | 910.294 | 111.00 | 277.75 | 650.50 | 1292.25 | 2133.00 | | 0.15 | | 0.3224310 | 0.0286744 | 1.00 | 0.50 | 667.088 | 660.296 | 72.00 | 195.00 | 468.00 | 917.25 | 1537.00 | 3.387 | 955.893 | 936.282 | 105.00 | 275.75 | 666.00 | 1336.00 | 2195.00 |
| | Case 4 | | = 31 | | 0.05 | 2.709 | 0.1808844 | 0.0091702 | 1.00 | 1.00 | 370.573 | 355.747 | 52.00 | 118.00 | 258.00 | 506.00 | 833.10 | 2.910 | 500.242 | 483.733 | 66.00 | 155.00 | 351.00 | 690.00 | 1129.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 1.10 | 277.271 | 265.011 | 42.00 | 91.00 | 197.00 | 374.00 | 612.00 | 2.910 | 362.143 | 344.677 | 54.00 | 117.00 | 256.00 | 493.00 | 813.10 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 1.20 | 200.055 | 182.341 | 36.00 | 71.00 | 145.00 | 270.00 | 438.10 | 2.910 | 246.147 | 227.434 | 41.00 | 84.00 | 176.00 | 336.00 | 539.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 1.30 | 139.647 | 123.874 | 28.00 | 52.00 | 103.00 | 186.00 | 300.00 | 2.910 | 171.758 | 154.671 | 33.00 | 61.00 | 126.00 | 232.00 | 371.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 1.40 | 105.245 | 90.709 | 24.00 | 42.00 | 78.00 | 139.00 | 220.00 | 2.910 | 121.345 | 102.373 | 28.00 | 48.00 | 91.00 | 162.00 | 254.10 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 0.90 | 385.263 | 368.562 | 58.00 | 125.75 | 272.00 | 524.00 | 861.00 | 2.910 | 530.541 | 506.987 | 71.00 | 161.00 | 372.00 | 735.00 | 1186.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 0.80 | 276.474 | 255.904 | 47.00 | 95.00 | 199.00 | 373.00 | 610.00 | 2.910 | 388.259 | 364.656 | 62.00 | 129.00 | 277.00 | 526.00 | 860.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 0.70 | 169.153 | 146.690 | 37.00 | 66.00 | 125.00 | 227.00 | 361.00 | 2.910 | 216.405 | 189.715 | 46.00 | 80.00 | 159.00 | 293.00 | 465.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 0.60 | 98.452 | 76.151 | 30.00 | 46.00 | 76.00 | 127.00 | 196.00 | 2.910 | 120.130 | 95.710 | 34.90 | 53.00 | 91.00 | 156.00 | 244.00 | | 0.05 | | 0.1808844 | 0.0091702 | 1.00 | 0.50 | 60.649 | 38.805 | 24.00 | 33.00 | 50.00 | 77.00 | 111.00 | 2.910 | 70.490 | 47.111 | 27.00 | 37.00 | 57.00 | 89.00 | 133.00 | | 0.10 | 3.027 | 0.2591139 | 0.0188166 | 1.00 | 1.00 | 370.751 | 370.783 | 45.00 | 113.00 | 258.00 | 509.00 | 835.00 | 3.220 | 501.537 | 499.124 | 60.00 | 151.00 | 346.00 | 685.00 | 1157.00 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 1.10 | 271.058 | 262.206 | 35.00 | 83.00 | 193.00 | 377.00 | 607.10 | 3.220 | 368.244 | 361.630 | 48.00 | 115.00 | 257.50 | 507.25 | 835.10 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 1.20 | 202.836 | 194.678 | 28.90 | 64.00 | 142.00 | 280.00 | 462.00 | 3.220 | 256.774 | 246.818 | 35.00 | 79.00 | 182.00 | 352.00 | 578.20 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 1.30 | 152.221 | 141.499 | 24.00 | 50.00 | 110.00 | 209.00 | 334.10 | 3.220 | 190.222 | 180.313 | 29.00 | 62.00 | 134.50 | 258.00 | 427.10 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 1.40 | 114.231 | 105.515 | 21.00 | 40.00 | 82.00 | 154.00 | 249.00 | 3.220 | 143.456 | 130.393 | 24.00 | 50.00 | 104.00 | 199.25 | 314.00 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 0.90 | 460.609 | 458.195 | 54.00 | 140.00 | 320.00 | 636.25 | 1044.00 | 3.220 | 632.996 | 622.511 | 75.00 | 190.00 | 439.00 | 883.25 | 1432.10 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 0.80 | 487.992 | 482.716 | 61.00 | 150.00 | 336.50 | 666.25 | 1118.00 | 3.220 | 713.114 | 696.455 | 81.00 | 212.00 | 498.00 | 986.00 | 1654.10 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 0.70 | 407.474 | 392.776 | 54.00 | 125.00 | 287.00 | 560.00 | 922.00 | 3.220 | 624.994 | 608.610 | 78.00 | 187.00 | 444.00 | 865.00 | 1407.00 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 0.60 | 258.389 | 245.117 | 41.00 | 85.00 | 183.00 | 349.00 | 582.00 | 3.220 | 407.112 | 386.822 | 58.00 | 130.00 | 290.00 | 560.00 | 924.00 | | 0.10 | | 0.2591139 | 0.0188166 | 1.00 | 0.50 | 142.269 | 123.512 | 31.00 | 54.00 | 106.00 | 191.00 | 302.00 | 3.220 | 206.760 | 185.208 | 39.00 | 74.00 | 150.00 | 279.00 | 457.00 | | 0.15 | 3.238 | 0.3214631 | 0.0286840 | 1.00 | 1.00 | 370.579 | 357.945 | 45.00 | 114.00 | 262.00 | 518.25 | 838.00 | 3.424 | 501.896 | 497.806 | 59.90 | 149.00 | 347.50 | 693.00 | 1160.10 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 1.10 | 287.207 | 281.655 | 35.00 | 86.00 | 200.00 | 396.00 | 661.00 | 3.424 | 380.875 | 373.005 | 47.00 | 118.00 | 263.00 | 527.00 | 878.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 1.20 | 222.879 | 216.836 | 29.00 | 69.00 | 153.00 | 308.00 | 509.00 | 3.424 | 289.598 | 282.601 | 35.00 | 87.00 | 205.00 | 401.00 | 662.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 1.30 | 172.578 | 167.042 | 25.00 | 55.00 | 122.00 | 234.00 | 389.10 | 3.424 | 216.378 | 203.633 | 30.00 | 68.00 | 155.00 | 302.00 | 484.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 1.40 | 131.449 | 124.432 | 20.00 | 43.00 | 93.00 | 181.00 | 293.00 | 3.424 | 165.513 | 158.309 | 24.00 | 52.00 | 117.00 | 227.00 | 373.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 0.90 | 472.031 | 465.385 | 54.00 | 143.00 | 328.00 | 656.00 | 1070.00 | 3.424 | 646.548 | 640.723 | 71.00 | 184.00 | 457.00 | 898.25 | 1481.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 0.80 | 569.939 | 565.036 | 60.00 | 165.00 | 396.00 | 786.00 | 1312.20 | 3.424 | 760.790 | 743.072 | 89.00 | 228.75 | 533.00 | 1049.25 | 1740.10 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 0.70 | 634.398 | 631.351 | 72.00 | 186.00 | 446.00 | 867.00 | 1462.00 | 3.424 | 859.353 | 845.962 | 93.00 | 249.00 | 591.50 | 1201.00 | 1997.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 0.60 | 678.273 | 676.142 | 75.00 | 198.00 | 470.00 | 936.00 | 1548.10 | 3.424 | 916.882 | 899.890 | 105.00 | 269.00 | 624.50 | 1268.25 | 2146.00 | | 0.15 | | 0.3214631 | 0.0286840 | 1.00 | 0.50 | 673.244 | 664.783 | 76.00 | 201.00 | 472.00 | 929.00 | 1528.10 | 3.424 | 948.243 | 924.458 | 106.00 | 280.00 | 665.00 | 1321.25 | 2173.20 |
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