Conceptual Model of Predictive Safety Management Methodology in Aviation
Abstract
:1. Introduction
2. Overview of the Aviation Safety Management
2.1. Aviation Safety Management System
2.2. Role of Safety Performance Management
2.3. Safety Management Methodologies in Aviation
2.4. Comprehensive Overview of Aviation Safety Management System
3. Materials and Methods
4. Results
4.1. Using Predictive Methods to Forecast Safety Performance Indicators
4.2. Correlation between Safety Management Methodologies
4.3. Link between Causation and Prediction
4.4. Predicting Using Predictive Methods and Causal Links among Organizational and Safety Performance Indicators
4.5. Conceptual Model of Predictive Safety Management Methodology in Aviation
5. Discussion/Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Month/Year | Number of Flights | Month/Year | Number of Flights | Month/Year | Number of Flights |
---|---|---|---|---|---|
Dec-17 | 2912 | Jun-19 | 4088 | Dec-20 | 1392 |
Jan-18 | 3039 | Jul-19 | 4356 | Jan-21 | 1403 |
Feb-18 | 2692 | Aug-19 | 4401 | Feb-21 | 1249 |
Mar-18 | 3143 | Sep-19 | 4190 | Mar-21 | 1648 |
Apr-18 | 3384 | Oct-19 | 4045 | Apr-21 | 1840 |
May-18 | 4023 | Nov-19 | 3344 | May-21 | 2092 |
Jun-18 | 4124 | Dec-19 | 3351 | Jun-21 | 2426 |
Jul-18 | 4461 | Jan-20 | 3133 | Jul-21 | 2931 |
Aug-18 | 4393 | Feb-20 | 2994 | Aug-21 | 3086 |
Sep-18 | 4176 | Mar-20 | 2310 | Sep-21 | 3401 |
Oct-18 | 3970 | Apr-20 | 365 | Oct-21 | 3394 |
Nov-18 | 3223 | May-20 | 572 | Nov-21 | 2917 |
Dec-18 | 3060 | Jun-20 | 1138 | Dec-21 | 3218 |
Jan-19 | 3045 | Jul-20 | 2037 | Jan-22 | 2776 |
Feb-19 | 2826 | Aug-20 | 2246 | Feb-22 | 2637 |
Mar-19 | 3356 | Sep-20 | 1995 | ||
Apr-19 | 3776 | Oct-20 | 1772 | ||
May-19 | 4283 | Nov-20 | 1556 |
Timeline | Holt’s Linear Trend | Brown’s Linear Trend | Damped Trend | Simple Exponential Smoothing | Simple Seasonal Exponential Smoothing | Winter’s Additive Method | Winter’s Multiplicative Method | Moving Average Method | ARIMA Modeling ARIMA (0,1,1) (1,1,0) | |||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
RMSE = 454.187 | RMSE = 489.109 | RMSE = 437.490 | RMSE = 448.684 | RMSE = 358.459 | RMSE = 373.104 | RMSE = 454.465 | RMSE = 403.010 | RMSE = 430.170 | ||||||||||||||||||||||||||||
Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | Values | Forecast | LCL | UCL | |
Dec-17 | 2912 | 2912 | 2912 | 2912 | 2912 | 2912 | 2912 | 2912 | 2912 | |||||||||||||||||||||||||||
Jan-18 | 3039 | 3039 | 3039 | 3039 | 3039 | 3039 | 3039 | 3039 | 3039 | |||||||||||||||||||||||||||
Feb-18 | 2692 | 2692 | 2692 | 2692 | 2692 | 2692 | 2692 | 2692 | 2692 | |||||||||||||||||||||||||||
Mar-18 | 3143 | 3143 | 3143 | 3143 | 3143 | 3143 | 3143 | 3143 | 3143 | |||||||||||||||||||||||||||
Apr-18 | 3384 | 3384 | 3384 | 3384 | 3384 | 3384 | 3384 | 3384 | 3384 | |||||||||||||||||||||||||||
May-18 | 4023 | 4023 | 4023 | 4023 | 4023 | 4023 | 4023 | 4023 | 4023 | |||||||||||||||||||||||||||
Jun-18 | 4124 | 4124 | 4124 | 4124 | 4124 | 4124 | 4124 | 4124 | 4124 | |||||||||||||||||||||||||||
Jul-18 | 4461 | 4461 | 4461 | 4461 | 4461 | 4461 | 4461 | 4461 | 4461 | |||||||||||||||||||||||||||
Aug-18 | 4393 | 4393 | 4393 | 4393 | 4393 | 4393 | 4393 | 4393 | 4393 | |||||||||||||||||||||||||||
Sep-18 | 4176 | 4176 | 4176 | 4176 | 4176 | 4176 | 4176 | 4176 | 4176 | |||||||||||||||||||||||||||
Oct-18 | 3970 | 3970 | 3970 | 3970 | 3970 | 3970 | 3970 | 3970 | 3970 | |||||||||||||||||||||||||||
Nov-18 | 3223 | 3223 | 3223 | 3223 | 3223 | 3223 | 3223 | 3223 | 3223 | |||||||||||||||||||||||||||
Dec-18 | 3060 | 3060 | 3060 | 3060 | 3060 | 3060 | 3060 | 3060 | 3060 | |||||||||||||||||||||||||||
Jan-19 | 3045 | 3045 | 3045 | 3045 | 3045 | 3045 | 3045 | 3045 | 3045 | |||||||||||||||||||||||||||
Feb-19 | 2826 | 2826 | 2826 | 2826 | 2826 | 2826 | 2826 | 2826 | 2826 | |||||||||||||||||||||||||||
Mar-19 | 3356 | 3356 | 3356 | 3356 | 3356 | 3356 | 3356 | 3356 | 3356 | |||||||||||||||||||||||||||
Apr-19 | 3776 | 3776 | 3776 | 3776 | 3776 | 3776 | 3776 | 3776 | 3776 | |||||||||||||||||||||||||||
May-19 | 4283 | 4283 | 4283 | 4283 | 4283 | 4283 | 4283 | 4283 | 4283 | |||||||||||||||||||||||||||
Jun-19 | 4088 | 4088 | 4088 | 4088 | 4088 | 4088 | 4088 | 4088 | 4088 | |||||||||||||||||||||||||||
Jul-19 | 4356 | 4356 | 4356 | 4356 | 4356 | 4356 | 4356 | 4356 | 4356 | |||||||||||||||||||||||||||
Aug-19 | 4401 | 4401 | 4401 | 4401 | 4401 | 4401 | 4401 | 4401 | 4401 | |||||||||||||||||||||||||||
Sep-19 | 4190 | 4190 | 4190 | 4190 | 4190 | 4190 | 4190 | 4190 | 4190 | |||||||||||||||||||||||||||
Oct-19 | 4045 | 4045 | 4045 | 4045 | 4045 | 4045 | 4045 | 4045 | 4045 | |||||||||||||||||||||||||||
Nov-19 | 3344 | 3344 | 3344 | 3344 | 3344 | 3344 | 3344 | 3344 | 3344 | |||||||||||||||||||||||||||
Dec-19 | 3351 | 3351 | 3351 | 3351 | 3351 | 3351 | 3351 | 3351 | 3351 | |||||||||||||||||||||||||||
Jan-20 | 3133 | 3133 | 3133 | 3133 | 3133 | 3133 | 3133 | 3133 | 3133 | |||||||||||||||||||||||||||
Feb-20 | 2994 | 2994 | 2994 | 2994 | 2994 | 2994 | 2994 | 2994 | 2994 | |||||||||||||||||||||||||||
Mar-20 | 2310 | 2310 | 2310 | 2310 | 2310 | 2310 | 2310 | 2310 | 2310 | |||||||||||||||||||||||||||
Apr-20 | 365 | 365 | 365 | 365 | 365 | 365 | 365 | 365 | 365 | |||||||||||||||||||||||||||
May-20 | 572 | 572 | 572 | 572 | 572 | 572 | 572 | 572 | 572 | |||||||||||||||||||||||||||
Jun-20 | 1138 | 1138 | 1138 | 1138 | 1138 | 1138 | 1138 | 1138 | 1138 | |||||||||||||||||||||||||||
Jul-20 | 2037 | 2037 | 2037 | 2037 | 2037 | 2037 | 2037 | 2037 | 2037 | |||||||||||||||||||||||||||
Aug-20 | 2246 | 2246 | 2246 | 2246 | 2246 | 2246 | 2246 | 2246 | 2246 | |||||||||||||||||||||||||||
Sep-20 | 1995 | 1995 | 1995 | 1995 | 1995 | 1995 | 1995 | 1995 | 1995 | |||||||||||||||||||||||||||
Oct-20 | 1772 | 1772 | 1772 | 1772 | 1772 | 1772 | 1772 | 1772 | 1772 | |||||||||||||||||||||||||||
Nov-20 | 1556 | 1556 | 1556 | 1556 | 1556 | 1556 | 1556 | 1556 | 1556 | |||||||||||||||||||||||||||
Dec-20 | 1392 | 1392 | 1392 | 1392 | 1392 | 1392 | 1392 | 1392 | 1392 | |||||||||||||||||||||||||||
Jan-21 | 1403 | 1403 | 1403 | 1403 | 1403 | 1403 | 1403 | 1403 | 1403 | |||||||||||||||||||||||||||
Feb-21 | 1249 | 1249 | 1249 | 1249 | 1249 | 1249 | 1249 | 1249 | 1249 | |||||||||||||||||||||||||||
Mar-21 | 1648 | 1648 | 1648 | 1648 | 1648 | 1648 | 1648 | 1648 | 1648 | |||||||||||||||||||||||||||
Apr-21 | 1840 | 1840 | 1840 | 1840 | 1840 | 1840 | 1840 | 1840 | 1840 | |||||||||||||||||||||||||||
May-21 | 2092 | 2092 | 2092 | 2092 | 2092 | 2092 | 2092 | 2092 | 2092 | |||||||||||||||||||||||||||
Jun-21 | 2426 | 2426 | 2426 | 2426 | 2426 | 2426 | 2426 | 2426 | 2426 | |||||||||||||||||||||||||||
Jul-21 | 2931 | 2931 | 2931 | 2931 | 2931 | 2931 | 2931 | 2931 | 2931 | |||||||||||||||||||||||||||
Aug-21 | 3086 | 3086 | 3086 | 3086 | 3086 | 3086 | 3086 | 3086 | 3086 | |||||||||||||||||||||||||||
Sep-21 | 3401 | 3401 | 3401 | 3401 | 3401 | 3401 | 3401 | 3401 | 3401 | |||||||||||||||||||||||||||
Oct-21 | 3394 | 3394 | 3394 | 3394 | 3394 | 3394 | 3394 | 3394 | 3394 | |||||||||||||||||||||||||||
Nov-21 | 2917 | 2917 | 2917 | 2917 | 2917 | 2917 | 2917 | 2917 | 2917 | |||||||||||||||||||||||||||
Dec-21 | 3218 | 3218 | 3218 | 3218 | 3218 | 3218 | 3218 | 3218 | 3218 | |||||||||||||||||||||||||||
Jan-22 | 2776 | 2776 | 2776 | 2776 | 2776 | 2776 | 2776 | 2776 | 2776 | |||||||||||||||||||||||||||
Feb-22 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 | 2637 |
Mar-22 | 2606 | 1693 | 3519 | 2448 | 1465 | 3430 | 2588 | 1709 | 3468 | 2637 | 1736 | 3538 | 2772 | 2051 | 3492 | 2558 | 1807 | 3308 | 3278 | 2364 | 4191 | 2708 | 1689 | 3728 | 2524 | 1664 | 3385 | |||||||||
Apr-22 | 2575 | 1284 | 3867 | 2261 | 485 | 4037 | 2573 | 1143 | 4002 | 2637 | 1363 | 3911 | 2499 | 1480 | 3517 | 2288 | 1226 | 3349 | 3417 | 2090 | 4744 | 2124 | 898 | 3350 | 1286 | −382 | 2954 | |||||||||
May-22 | 2544 | 962 | 4127 | 2075 | −628 | 4777 | 2568 | 692 | 4443 | 2637 | 1076 | 4198 | 2900 | 1653 | 4147 | 2692 | 1391 | 3993 | 4072 | 2231 | 5914 | 2345 | 942 | 3748 | 1508 | −689 | 3705 | |||||||||
Jun-22 | 2513 | 685 | 4341 | 1888 | −1858 | 5634 | 2566 | 316 | 4816 | 2637 | 835 | 4439 | 3101 | 1662 | 4541 | 2897 | 1394 | 4399 | 4020 | 1966 | 6073 | 2468 | 908 | 4028 | 1997 | −624 | 4618 | |||||||||
Jul-22 | 2482 | 438 | 4527 | 1702 | −3193 | 6597 | 2565 | −9 | 5140 | 2637 | 622 | 4652 | 3604 | 1994 | 5213 | 3402 | 1721 | 5083 | 4265 | 1879 | 6652 | 2894 | 1190 | 4598 | 2766 | −219 | 5751 | |||||||||
Aug-22 | 2451 | 210 | 4692 | 1515 | −4626 | 7656 | 2565 | −299 | 5429 | 2637 | 430 | 4844 | 3689 | 1926 | 5452 | 3490 | 1648 | 5332 | 4178 | 1642 | 6714 | 3135 | 1299 | 4971 | 2957 | −353 | 6267 | |||||||||
Sep-22 | 2420 | −1 | 4842 | 1329 | −6148 | 8806 | 2565 | −562 | 5692 | 2637 | 253 | 5021 | 3598 | 1694 | 5502 | 3402 | 1411 | 5393 | 3796 | 1291 | 6301 | 3209 | 1249 | 5169 | 2893 | −712 | 6498 | |||||||||
Oct-22 | 2390 | −201 | 4980 | 1142 | −7755 | 10,040 | 2565 | −805 | 5935 | 2637 | 88 | 5186 | 3453 | 1417 | 5488 | 3260 | 1131 | 5389 | 3554 | 1010 | 6098 | 3162 | 1085 | 5239 | 2742 | −1137 | 6620 | |||||||||
Nov-22 | 2359 | −390 | 5107 | 956 | −9441 | 11,353 | 2565 | −1031 | 6161 | 2637 | −66 | 5340 | 2917 | 758 | 5076 | 2728 | 468 | 4987 | 2832 | 585 | 5080 | 2632 | 444 | 4820 | 2439 | −1694 | 6573 | |||||||||
Dec-22 | 2328 | −571 | 5226 | 769 | −11,204 | 12,743 | 2565 | −1244 | 6374 | 2637 | −213 | 5487 | 2944 | 668 | 5220 | 2540 | 157 | 4923 | 2460 | 283 | 4637 | 2554 | 260 | 4848 | 2429 | −1944 | 6802 | |||||||||
Jan-23 | 2297 | −745 | 5338 | 583 | −13,038 | 14,204 | 2565 | −1446 | 6576 | 2637 | −352 | 5626 | 2837 | 450 | 5224 | 2436 | −65 | 4937 | 2531 | 85 | 4976 | 2333 | −63 | 4728 | 2290 | −2311 | 6891 | |||||||||
Feb-23 | 2266 | −913 | 5444 | 397 | −14,941 | 15,734 | 2565 | −1638 | 6768 | 2637 | −485 | 5759 | 2637 | 144 | 5130 | 2239 | −374 | 4852 | 2274 | −133 | 4681 | 2201 | −292 | 4694 | 2141 | −2677 | 6959 | |||||||||
Mar-23 | 2235 | −1075 | 5545 | 210 | −16,911 | 17,331 | 2565 | −1821 | 6952 | 2637 | −612 | 5886 | 2772 | 177 | 5366 | 2160 | −561 | 4881 | 2822 | −339 | 5983 | 2273 | −366 | 4911 | 2371 | −2743 | 7485 | |||||||||
Apr-23 | 2204 | −1232 | 5640 | 24 | −18,945 | 18,992 | 2565 | −1998 | 7128 | 2637 | −735 | 6009 | 2499 | −194 | 5191 | 1890 | −935 | 4715 | 2936 | −521 | 6393 | 1688 | −1039 | 4416 | 2090 | −3366 | 7546 | |||||||||
May-23 | 2173 | −1386 | 5732 | −163 | −21,041 | 20,715 | 2565 | −2167 | 7298 | 2637 | −853 | 6127 | 2900 | 113 | 5687 | 2294 | −632 | 5220 | 3492 | −774 | 7759 | 1909 | −905 | 4724 | 2332 | −3446 | 8110 | |||||||||
Jun-23 | 2142 | −1535 | 5819 | −349 | −23,197 | 22,498 | 2565 | −2331 | 7461 | 2637 | −968 | 6242 | 3101 | 223 | 5980 | 2499 | −524 | 5522 | 3440 | −918 | 7799 | 2032 | −867 | 4931 | 2718 | −3365 | 8800 | |||||||||
Jul-23 | 2111 | −1681 | 5903 | −536 | −25,411 | 24,339 | 2565 | −2490 | 7620 | 2637 | −1079 | 6353 | 3604 | 636 | 6571 | 3004 | −114 | 6122 | 3643 | −1126 | 8412 | 2458 | −524 | 5439 | 3310 | −3063 | 9683 | |||||||||
Aug-23 | 2080 | −1824 | 5984 | −722 | −27,682 | 26,237 | 2565 | −2643 | 7774 | 2637 | −1186 | 6460 | 3689 | 636 | 6742 | 3093 | −117 | 6303 | 3561 | −1255 | 8378 | 2699 | −363 | 5761 | 3477 | −3174 | 10,128 | |||||||||
Sep-23 | 2049 | −1964 | 6062 | −909 | −30,008 | 28,190 | 2565 | −2792 | 7923 | 2637 | −1291 | 6565 | 3598 | 461 | 6735 | 3005 | −295 | 6304 | 3228 | −1295 | 7752 | 2773 | −367 | 5914 | 3666 | −3251 | 10,584 | |||||||||
Oct-23 | 2018 | −2101 | 6138 | −1095 | −32,387 | 30,197 | 2565 | −2938 | 8068 | 2637 | −1393 | 6667 | 3453 | 234 | 6671 | 2862 | −525 | 6249 | 3016 | −1369 | 7401 | 2726 | −491 | 5944 | 3612 | −3563 | 10,786 | |||||||||
Nov-23 | 1987 | −2236 | 6210 | −1282 | −34,819 | 32,256 | 2565 | −3079 | 8210 | 2637 | −1493 | 6767 | 2917 | −381 | 6215 | 2330 | −1142 | 5803 | 2398 | −1257 | 6053 | 2196 | −1096 | 5489 | 3192 | −4230 | 10,614 | |||||||||
Dec-23 | 1956 | −2368 | 6281 | −1468 | −37,303 | 34,366 | 2565 | −3217 | 8348 | 2637 | −1590 | 6864 | 2944 | −432 | 6319 | 2143 | −1413 | 5699 | 2078 | −1265 | 5420 | 2118 | −1248 | 5485 | 3390 | −4271 | 11,052 | |||||||||
Jan-24 | 1926 | −2498 | 6349 | −1655 | −39,836 | 36,527 | 2565 | −3352 | 8482 | 2637 | −1685 | 6959 | 2837 | −615 | 6288 | 2038 | −1599 | 5676 | 2132 | −1469 | 5733 | 1897 | −1543 | 5336 | 3049 | −4846 | 10,943 | |||||||||
Feb-24 | 1895 | −2626 | 6416 | −1841 | −42,419 | 38,736 | 2565 | −3484 | 8614 | 2637 | −1778 | 7052 | 2637 | −889 | 6163 | 1842 | −1876 | 5560 | 1912 | −1492 | 5316 | 1765 | −1745 | 5275 | 2906 | −5214 | 11,027 | |||||||||
Mar-24 | 1864 | −2753 | 6480 | −2028 | −45,049 | 40,994 | 2565 | −3613 | 8743 | 2637 | −1869 | 7143 | 2772 | −827 | 6370 | 1762 | −2034 | 5559 | 2366 | −2011 | 6742 | 1837 | −1781 | 5454 | 2907 | −5611 | 11,425 | |||||||||
Apr-24 | 1833 | −2877 | 6543 | −2214 | −47,727 | 43,299 | 2565 | −3739 | 8869 | 2637 | −1958 | 7232 | 2499 | −1171 | 6168 | 2330 | −1142 | 5803 | 2455 | −2250 | 7160 | 1252 | −2433 | 4938 | 1985 | −7050 | 11,021 | |||||||||
May-24 | 1802 | −3000 | 6604 | −2401 | −50,451 | 45,650 | 2565 | −3863 | 8993 | 2637 | −2045 | 7319 | 2900 | −840 | 6639 | 2143 | −1413 | 5699 | 2912 | −2834 | 8658 | 1473 | −2279 | 5226 | 2214 | −7312 | 11,739 | |||||||||
Jun-24 | 1771 | −3122 | 6664 | −2587 | −53,221 | 48,046 | 2565 | −3985 | 9115 | 2637 | −2131 | 7405 | 3101 | −707 | 6909 | 2038 | −1599 | 5676 | 2861 | −2951 | 8673 | 1596 | −2223 | 5415 | 2669 | −7322 | 12,660 | |||||||||
Jul-24 | 1740 | −3242 | 6722 | −2774 | −56,035 | 50,488 | 2565 | −4104 | 9234 | 2637 | −2216 | 7490 | 3604 | −272 | 7479 | 1842 | −1876 | 5560 | 3021 | −3288 | 9329 | 2022 | −1862 | 5906 | 3379 | −7057 | 13,815 | |||||||||
Aug-24 | 1709 | −3360 | 6778 | −2960 | −58,893 | 52,973 | 2565 | −4221 | 9351 | 2637 | −2299 | 7573 | 3689 | −253 | 7631 | 1762 | −2034 | 5559 | 2944 | −3378 | 9266 | 2263 | −1685 | 6211 | 3562 | −7301 | 14,425 | |||||||||
Sep-24 | 1678 | −3477 | 6834 | −3147 | −61,794 | 55,501 | 2565 | −4336 | 9467 | 2637 | −2380 | 7654 | 3598 | −409 | 7605 | 2607 | −1633 | 6847 | 2661 | −3226 | 8547 | 2337 | −1674 | 6349 | 3582 | −7691 | 14,856 | |||||||||
Oct-24 | 1647 | −3593 | 6888 | −3333 | −64,738 | 58,072 | 2565 | −4450 | 9580 | 2637 | −2461 | 7735 | 3453 | −618 | 7524 | 2465 | −1845 | 6775 | 2478 | −3177 | 8133 | 2290 | −1784 | 6365 | 3463 | −8207 | 15,132 | |||||||||
Nov-24 | 1616 | −3708 | 6941 | −3520 | −67,724 | 60,685 | 2565 | −4561 | 9691 | 2637 | −2540 | 7814 | 2917 | −1217 | 7051 | 1933 | −2446 | 6312 | 1964 | −2691 | 6619 | 1760 | −2376 | 5897 | 3122 | −8931 | 15,174 | |||||||||
Dec-24 | 1585 | −3822 | 6992 | −3706 | −70,751 | 63,339 | 2565 | −4671 | 9801 | 2637 | −2618 | 7892 | 2944 | −1252 | 7140 | 1745 | −2702 | 6192 | 1696 | −2500 | 5891 | 1683 | −2515 | 5880 | 3180 | −9244 | 15,604 | |||||||||
Jan-25 | 1554 | −3934 | 7043 | −3893 | −73,819 | 66,034 | 2565 | −4779 | 9909 | 2637 | −2694 | 7968 | 2837 | −1421 | 7094 | 1641 | −2874 | 6155 | 1734 | −2733 | 6201 | 1461 | −2797 | 5718 | 2974 | −9810 | 15,759 | |||||||||
Feb-25 | 1523 | −4046 | 7093 | −4079 | −76,927 | 68,769 | 2565 | −4886 | 10,016 | 2637 | −2770 | 8044 | 2637 | −1681 | 6955 | 1444 | −3136 | 6025 | 1549 | −2620 | 5718 | 1329 | −2988 | 5646 | 2828 | −10,308 | 15,963 | |||||||||
Holt’s linear trend | Brown’s linear trend | Damped trend | ||||||||||||||||||||||||||||||||||
Simple exponential smoothing | Simple seasonal exponential smoothing | Winter’s additive method | ||||||||||||||||||||||||||||||||||
Winter’s multiplicative method | Moving average method | ARIMA modeling ARIMA (0,1,1) (1,1,0) |
Appendix B
Year | SPI1 | SPI2 | SPI3 | SPI4 | SPI5 | SPI6 | SPI7 | SPI8 | SPI19 | SPI10 | SPI11 | SPI12 | SPI13 | SPI14 | SPI15 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2014 | 29 | 7 | 14 | 8 | 4 | 4 | 28 | 1 | 4 | 0 | 25 | 8 | 16 | 4 | 0.012 |
2015 | 22 | 2 | 4 | 16 | 11 | 5 | 18 | 2 | 5 | 2 | 14 | 4 | 7 | 4 | 0.017 |
2016 | 34 | 9 | 11 | 14 | 9 | 5 | 34 | 2 | 1 | 1 | 24 | 7 | 14 | 6 | 0.019 |
2017 | 21 | 3 | 5 | 13 | 10 | 3 | 20 | 0 | 2 | 1 | 13 | 1 | 12 | 3 | 0.012 |
2018 | 43 | 5 | 5 | 33 | 12 | 21 | 36 | 4 | 5 | 9 | 16 | 3 | 13 | 2 | 0.020 |
2019 | 70 | 4 | 3 | 64 | 16 | 48 | 57 | 7 | 19 | 18 | 45 | 3 | 42 | 2 | 0.030 |
SPT | 10 | 2 | / | / | / | / | / | / | / | / | 10 | / | / | 5 | 0.002 |
⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇓ | ⇑ | ⇓ |
Appendix C
Year | Values (SPI2) | Forecast | Lower Limit of Reliability | Upper Limit of Reliability |
---|---|---|---|---|
2014 | 7 | |||
2015 | 2 | |||
2016 | 9 | |||
2017 | 3 | |||
2018 | 5 | |||
2019 | 4 | 4 | 4 | 4 |
2020 | 7 | 4 | 10 | |
2021 | 2 | 0 | 5 | |
2022 | 7 | 4 | 10 | |
2023 | 2 | 0 | 5 | |
2024 | 7 | 4 | 10 |
Year | Values (SPI11) | Forecast | Lower Limit of Reliability | Upper Limit of Reliability |
---|---|---|---|---|
2014 | 25 | |||
2015 | 14 | |||
2016 | 24 | |||
2017 | 13 | |||
2018 | 16 | |||
2019 | 45 | 45 | 45 | 45 |
2020 | 38 | 13 | 63 | |
2021 | 42 | 14 | 69 | |
2022 | 45 | 15 | 76 | |
2023 | 49 | 16 | 82 | |
2024 | 53 | 17 | 88 |
Year | Values (SPI14) | Forecast | Lower Limit of Reliability | Upper Limit of Reliability |
---|---|---|---|---|
2014 | 4 | |||
2015 | 4 | |||
2016 | 6 | |||
2017 | 3 | |||
2018 | 2 | |||
2019 | 2 | 2 | 2 | 2 |
2020 | 1 | 0 | 4 | |
2021 | 0 | 0 | 3 | |
2022 | 0 | 0 | 3 | |
2023 | 0 | 0 | 3 | |
2024 | 0 | 0 | 3 |
Year | Values (SPI15) | Forecast | Lower Limit of Reliability | Upper Limit of Reliability |
---|---|---|---|---|
2014 | 0.012 | |||
2015 | 0.017 | |||
2016 | 0.019 | |||
2017 | 0.012 | |||
2018 | 0.020 | |||
2019 | 0.030 | 0.030 | 0.030 | 0.030 |
2020 | 0.027 | 0.019 | 0.035 | |
2021 | 0.029 | 0.021 | 0.038 | |
2022 | 0.032 | 0.024 | 0.040 | |
2023 | 0.034 | 0.026 | 0.043 | |
2024 | 0.037 | 0.029 | 0.045 |
Appendix D
Mark | Name of an Indicator | Targets (SPTs) |
---|---|---|
OI1 | Flight hours (aircraft) | / |
OI2 | Flight hours (simulator) | / |
OI3 | Total flight hours | / |
OI4 | Number of used aircraft | / |
OI5 | Number of used simulators | / |
OI6 | Number of used aircraft/simulators | / |
OI7 | Number of students in training on aircraft | / |
OI8 | Number of active instructors on aircraft | / |
OI9 | Number of students in training on simulator | / |
OI10 | Number of active instructors on simulator | / |
OI11 | Total number of students in training | / |
OI12 | Total number of active instructors | / |
SPI1 | Total number of recorded occurrences | ≤2 |
SPI2 | Number of reported MOR occurrences | ≤1 |
SPI3 | Number of recorded changes | ≤2 |
SPI4 | Number of conducted risk assessments | ≤2 |
SPI5 | Number of detected unacceptable risks | ≤1 |
SPI6 | Number of held safety review boards | ≥1 |
SPI7 | Number of conducted audits/inspections | ≥1 |
SPI8 | Number of determined findings | ≤4 |
Month | OI1 | OI2 | OI3 | OI4 | OI5 | OI6 | OI7 | OI8 | OI19 | OI10 | OI11 | OI12 | SPI1 | SPI2 | SPI3 | SPI4 | SPI5 | SPI6 | SPI7 | SPI8 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Jan-14 | 31.58 | 10.92 | 42.50 | 4 | 1 | 5 | 9 | 4 | 1 | 1 | 10 | 5 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
Feb-14 | 12.42 | 10.50 | 22.92 | 3 | 1 | 4 | 5 | 4 | 2 | 2 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Mar-14 | 88.67 | 17.83 | 106.50 | 3 | 1 | 4 | 19 | 8 | 3 | 2 | 22 | 10 | 2 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
Apr-14 | 63.67 | 0.00 | 63.67 | 5 | 0 | 5 | 20 | 7 | 0 | 0 | 20 | 7 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
May-14 | 323.92 | 63.75 | 387.67 | 7 | 1 | 8 | 43 | 13 | 9 | 3 | 52 | 15 | 7 | 0 | 1 | 15 | 6 | 0 | 2 | 10 |
Jun-14 | 159.17 | 4.50 | 163.67 | 7 | 1 | 8 | 29 | 11 | 3 | 1 | 32 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
Jul-14 | 438.50 | 0.00 | 438.50 | 8 | 0 | 8 | 47 | 12 | 0 | 0 | 47 | 12 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 6 |
Aug-14 | 612.58 | 0.00 | 612.58 | 8 | 0 | 8 | 45 | 10 | 0 | 0 | 45 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 |
Sep-14 | 390.75 | 0.00 | 390.75 | 8 | 0 | 8 | 33 | 11 | 0 | 0 | 33 | 11 | 5 | 0 | 0 | 7 | 3 | 1 | 1 | 15 |
Oct-14 | 278.33 | 0.00 | 278.33 | 7 | 0 | 7 | 35 | 10 | 0 | 0 | 35 | 10 | 1 | 0 | 0 | 3 | 0 | 1 | 1 | 0 |
Nov-14 | 59.33 | 0.00 | 59.33 | 4 | 0 | 4 | 19 | 5 | 0 | 0 | 19 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Dec-14 | 24.75 | 0.00 | 24.75 | 3 | 0 | 3 | 9 | 4 | 0 | 0 | 9 | 4 | 2 | 0 | 2 | 14 | 10 | 1 | 3 | 6 |
Jan-15 | 31.58 | 0.00 | 31.58 | 3 | 0 | 3 | 15 | 6 | 0 | 0 | 15 | 6 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
Feb-15 | 3.83 | 0.00 | 3.83 | 2 | 0 | 2 | 3 | 2 | 0 | 0 | 3 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Mar-15 | 46.83 | 0.00 | 46.83 | 3 | 0 | 3 | 17 | 5 | 0 | 0 | 17 | 5 | 5 | 0 | 4 | 3 | 0 | 0 | 0 | 0 |
Apr-15 | 50.67 | 0.00 | 50.67 | 5 | 0 | 5 | 17 | 6 | 0 | 0 | 17 | 6 | 6 | 0 | 2 | 10 | 0 | 2 | 0 | 0 |
May-15 | 219.42 | 0.00 | 219.42 | 7 | 0 | 7 | 37 | 9 | 0 | 0 | 37 | 9 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 |
Jun-15 | 18.08 | 0.00 | 18.08 | 4 | 0 | 4 | 9 | 6 | 0 | 0 | 9 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 6 |
Jul-15 | 142.58 | 0.00 | 142.58 | 7 | 0 | 7 | 30 | 8 | 0 | 0 | 30 | 8 | 1 | 0 | 1 | 5 | 1 | 1 | 0 | 0 |
Aug-15 | 168.25 | 181.08 | 349.33 | 6 | 1 | 7 | 22 | 7 | 13 | 3 | 35 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 4 |
Sep-15 | 267.17 | 153.50 | 420.67 | 7 | 1 | 8 | 40 | 7 | 18 | 5 | 58 | 9 | 2 | 1 | 1 | 3 | 0 | 1 | 1 | 4 |
Oct-15 | 132.42 | 83.67 | 216.08 | 8 | 1 | 9 | 34 | 7 | 18 | 5 | 52 | 10 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 |
Nov-15 | 150.58 | 60.83 | 211.42 | 7 | 1 | 8 | 35 | 7 | 12 | 4 | 47 | 8 | 3 | 0 | 2 | 5 | 0 | 0 | 1 | 0 |
Dec-15 | 29.00 | 16.42 | 45.42 | 4 | 1 | 5 | 12 | 6 | 4 | 4 | 16 | 8 | 2 | 0 | 2 | 0 | 0 | 0 | 1 | 9 |
Jan-16 | 28.83 | 27.00 | 55.83 | 3 | 1 | 4 | 11 | 6 | 8 | 5 | 19 | 7 | 2 | 0 | 1 | 1 | 0 | 0 | 0 | 0 |
Feb-16 | 19.75 | 19.00 | 38.75 | 2 | 1 | 3 | 5 | 2 | 4 | 2 | 9 | 4 | 1 | 0 | 1 | 0 | 0 | 0 | 2 | 1 |
Mar-16 | 98.50 | 1.50 | 100.00 | 5 | 1 | 6 | 31 | 8 | 2 | 1 | 33 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Apr-16 | 154.92 | 18.50 | 173.42 | 5 | 1 | 6 | 31 | 11 | 7 | 3 | 38 | 11 | 6 | 3 | 3 | 5 | 2 | 1 | 3 | 7 |
May-16 | 261.17 | 57.25 | 318.42 | 8 | 1 | 9 | 38 | 12 | 14 | 4 | 52 | 12 | 3 | 0 | 2 | 1 | 0 | 1 | 1 | 2 |
Jun-16 | 130.53 | 48.67 | 179.20 | 8 | 1 | 9 | 33 | 11 | 11 | 5 | 44 | 13 | 4 | 2 | 1 | 3 | 0 | 0 | 2 | 4 |
Jul-16 | 252.67 | 93.00 | 345.67 | 7 | 1 | 8 | 35 | 12 | 12 | 3 | 47 | 12 | 8 | 1 | 2 | 7 | 1 | 1 | 2 | 1 |
Aug-16 | 282.33 | 91.83 | 374.17 | 7 | 1 | 8 | 35 | 14 | 12 | 4 | 47 | 15 | 6 | 1 | 3 | 3 | 2 | 0 | 1 | 1 |
Sep-16 | 340.67 | 128.67 | 469.33 | 6 | 1 | 7 | 35 | 14 | 12 | 3 | 47 | 14 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 10 |
Oct-16 | 115.00 | 21.25 | 136.25 | 6 | 1 | 7 | 23 | 11 | 9 | 3 | 32 | 12 | 3 | 2 | 1 | 3 | 1 | 0 | 2 | 4 |
Nov-16 | 40.92 | 47.50 | 88.42 | 3 | 1 | 4 | 14 | 7 | 8 | 4 | 22 | 9 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |
Dec-16 | 29.08 | 0.00 | 29.08 | 4 | 0 | 4 | 12 | 7 | 0 | 0 | 12 | 7 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 |
Jan-17 | 0.00 | 6.00 | 6.00 | 0 | 1 | 1 | 0 | 0 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
Feb-17 | 9.08 | 5.50 | 14.58 | 2 | 1 | 3 | 4 | 2 | 5 | 3 | 9 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 9 |
Mar-17 | 152.17 | 35.92 | 188.08 | 4 | 1 | 5 | 24 | 8 | 7 | 3 | 31 | 8 | 1 | 0 | 1 | 0 | 0 | 1 | 2 | 12 |
Apr-17 | 80.67 | 55.83 | 136.50 | 5 | 1 | 6 | 16 | 8 | 5 | 3 | 21 | 9 | 3 | 0 | 3 | 3 | 0 | 0 | 3 | 12 |
May-17 | 187.83 | 106.42 | 294.25 | 5 | 1 | 6 | 28 | 9 | 15 | 3 | 43 | 9 | 2 | 0 | 2 | 1 | 0 | 0 | 2 | 1 |
Jun-17 | 87.00 | 35.67 | 122.67 | 5 | 1 | 6 | 28 | 10 | 8 | 4 | 36 | 10 | 1 | 1 | 0 | 1 | 0 | 1 | 2 | 1 |
Jul-17 | 193.58 | 88.00 | 281.58 | 5 | 1 | 6 | 29 | 11 | 10 | 4 | 39 | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
Aug-17 | 292.58 | 35.58 | 328.17 | 5 | 1 | 6 | 32 | 9 | 5 | 3 | 37 | 9 | 5 | 1 | 2 | 3 | 0 | 0 | 1 | 1 |
Sep-17 | 188.25 | 57.17 | 245.42 | 5 | 1 | 6 | 29 | 9 | 6 | 3 | 35 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 10 |
Oct-17 | 332.25 | 124.33 | 456.58 | 7 | 1 | 8 | 59 | 11 | 32 | 4 | 91 | 12 | 6 | 1 | 4 | 3 | 1 | 1 | 3 | 12 |
Nov-17 | 166.33 | 35.50 | 201.83 | 7 | 1 | 8 | 46 | 10 | 14 | 3 | 60 | 10 | 2 | 0 | 0 | 2 | 0 | 0 | 2 | 4 |
Dec-17 | 94.92 | 48.00 | 142.92 | 7 | 1 | 8 | 26 | 7 | 12 | 5 | 38 | 8 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
Jan-18 | 123.22 | 62.75 | 185.97 | 5 | 1 | 6 | 17 | 6 | 15 | 4 | 32 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
Feb-18 | 66.33 | 53.17 | 119.50 | 3 | 1 | 4 | 12 | 7 | 14 | 5 | 26 | 7 | 1 | 0 | 1 | 0 | 0 | 1 | 3 | 12 |
Mar-18 | 29.58 | 2.67 | 32.25 | 5 | 1 | 6 | 24 | 6 | 2 | 2 | 26 | 6 | 6 | 1 | 4 | 7 | 4 | 0 | 2 | 2 |
Apr-18 | 145.58 | 22.08 | 167.67 | 5 | 1 | 6 | 31 | 8 | 6 | 5 | 37 | 10 | 6 | 1 | 3 | 5 | 0 | 0 | 2 | 5 |
May-18 | 161.33 | 63.50 | 224.83 | 5 | 1 | 6 | 35 | 8 | 8 | 4 | 43 | 8 | 5 | 1 | 4 | 3 | 0 | 0 | 2 | 1 |
Jun-18 | 95.92 | 29.55 | 125.47 | 5 | 1 | 6 | 23 | 6 | 6 | 2 | 29 | 6 | 3 | 0 | 1 | 9 | 4 | 1 | 2 | 1 |
Jul-18 | 324.83 | 107.70 | 432.53 | 6 | 1 | 7 | 33 | 8 | 12 | 3 | 45 | 8 | 5 | 1 | 4 | 0 | 0 | 1 | 1 | 1 |
Aug-18 | 467.05 | 43.67 | 510.72 | 6 | 1 | 7 | 37 | 9 | 7 | 4 | 44 | 9 | 8 | 0 | 8 | 1 | 0 | 0 | 1 | 0 |
Sep-18 | 355.42 | 137.48 | 492.90 | 7 | 1 | 8 | 50 | 11 | 21 | 3 | 71 | 11 | 5 | 0 | 5 | 2 | 0 | 0 | 1 | 0 |
Oct-18 | 303.67 | 157.93 | 461.60 | 6 | 1 | 7 | 44 | 8 | 21 | 3 | 65 | 8 | 1 | 1 | 0 | 1 | 1 | 0 | 2 | 2 |
Nov-18 | 64.75 | 79.75 | 144.50 | 5 | 1 | 6 | 31 | 9 | 21 | 6 | 52 | 10 | 3 | 0 | 3 | 3 | 0 | 0 | 2 | 1 |
Dec-18 | 50.00 | 62.50 | 112.50 | 5 | 1 | 6 | 25 | 8 | 14 | 6 | 39 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Jan-19 | 34.25 | 104.33 | 138.58 | 4 | 1 | 5 | 13 | 5 | 9 | 5 | 22 | 8 | 3 | 0 | 3 | 2 | 0 | 0 | 1 | 2 |
Feb-19 | 132.08 | 58.92 | 191.00 | 5 | 1 | 6 | 35 | 10 | 14 | 7 | 49 | 13 | 16 | 1 | 12 | 8 | 0 | 0 | 3 | 15 |
Mar-19 | 228.45 | 39.75 | 268.20 | 4 | 1 | 5 | 41 | 11 | 7 | 4 | 48 | 12 | 8 | 0 | 7 | 19 | 4 | 0 | 2 | 13 |
Apr-19 | 206.92 | 43.92 | 250.83 | 5 | 1 | 6 | 34 | 8 | 9 | 3 | 43 | 9 | 12 | 0 | 12 | 6 | 0 | 1 | 2 | 6 |
May-19 | 104.17 | 122.17 | 226.33 | 5 | 1 | 6 | 32 | 7 | 17 | 6 | 49 | 9 | 1 | 0 | 1 | 1 | 0 | 0 | 3 | 2 |
Jun-19 | 246.08 | 30.42 | 276.50 | 5 | 1 | 6 | 31 | 12 | 4 | 2 | 35 | 13 | 3 | 0 | 3 | 1 | 0 | 0 | 2 | 0 |
Jul-19 | 377.92 | 71.17 | 449.08 | 6 | 1 | 7 | 38 | 10 | 8 | 3 | 46 | 10 | 1 | 0 | 1 | 1 | 0 | 0 | 2 | 2 |
Aug-19 | 312.82 | 62.67 | 375.48 | 6 | 1 | 7 | 31 | 13 | 12 | 4 | 43 | 14 | 7 | 2 | 4 | 12 | 2 | 0 | 0 | 0 |
Sep-19 | 448.50 | 64.00 | 512.50 | 6 | 1 | 7 | 44 | 12 | 8 | 2 | 52 | 12 | 6 | 0 | 6 | 5 | 0 | 0 | 3 | 1 |
Oct-19 | 227.83 | 57.25 | 285.08 | 6 | 1 | 7 | 44 | 11 | 12 | 3 | 56 | 11 | 8 | 0 | 8 | 5 | 0 | 0 | 3 | 9 |
Nov-19 | 54.92 | 165.52 | 220.43 | 4 | 1 | 5 | 24 | 10 | 34 | 6 | 58 | 10 | 4 | 1 | 3 | 4 | 0 | 0 | 2 | 13 |
Dec-19 | 85.92 | 93.13 | 179.05 | 4 | 1 | 5 | 30 | 8 | 18 | 5 | 48 | 11 | 3 | 0 | 2 | 5 | 3 | 1 | 0 | 0 |
Jan-20 | 150.42 | 70.02 | 220.43 | 6 | 1 | 7 | 41 | 10 | 18 | 6 | 59 | 11 | 6 | 0 | 6 | 3 | 0 | 0 | 1 | 6 |
Feb-20 | 92.42 | 84.70 | 177.12 | 6 | 1 | 7 | 29 | 8 | 15 | 5 | 44 | 8 | 1 | 1 | 0 | 1 | 0 | 1 | 2 | 0 |
Mar-20 | 66.50 | 62.33 | 128.83 | 5 | 1 | 6 | 30 | 9 | 12 | 5 | 42 | 10 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
Indicator | N | Missing | Mean | Median | ST.DEV | Variance | Skewness | ST.ERR of Skewness | Range | Minimum | Maximum |
---|---|---|---|---|---|---|---|---|---|---|---|
OI1 | 75.00 | 0.00 | 163.20 | 132.42 | 131.88 | 17,393.38 | 1.03 | 0.28 | 612.58 | 0.00 | 612.58 |
OI2 | 75.00 | 0.00 | 49.92 | 43.92 | 46.31 | 2145.06 | 0.89 | 0.28 | 181.08 | 0.00 | 181.08 |
OI3 | 75.00 | 0.00 | 213.12 | 185.97 | 150.62 | 22,686.56 | 0.60 | 0.28 | 608.75 | 3.83 | 612.58 |
OI4 | 75.00 | 0.00 | 5.21 | 5.00 | 1.68 | 2.82 | −0.40 | 0.28 | 8.00 | 0.00 | 8.00 |
OI5 | 75.00 | 0.00 | 0.80 | 1.00 | 0.40 | 0.16 | −1.53 | 0.28 | 1.00 | 0.00 | 1.00 |
OI6 | 75.00 | 0.00 | 6.01 | 6.00 | 1.73 | 2.99 | −0.55 | 0.28 | 8.00 | 1.00 | 9.00 |
OI7 | 75.00 | 0.00 | 27.56 | 30.00 | 12.46 | 155.22 | −0.20 | 0.28 | 59.00 | 0.00 | 59.00 |
OI8 | 75.00 | 0.00 | 8.29 | 8.00 | 2.88 | 8.29 | −0.41 | 0.28 | 14.00 | 0.00 | 14.00 |
OI19 | 75.00 | 0.00 | 8.63 | 8.00 | 7.37 | 54.29 | 0.99 | 0.28 | 34.00 | 0.00 | 34.00 |
OI10 | 75.00 | 0.00 | 2.93 | 3.00 | 1.92 | 3.69 | −0.16 | 0.28 | 7.00 | 0.00 | 7.00 |
OI11 | 75.00 | 0.00 | 36.19 | 37.00 | 17.10 | 292.32 | 0.13 | 0.28 | 89.00 | 2.00 | 91.00 |
OI12 | 75.00 | 0.00 | 9.07 | 9.00 | 2.87 | 8.23 | −0.24 | 0.28 | 13.00 | 2.00 | 15.00 |
SPI1 | 75.00 | 0.00 | 2.92 | 2.00 | 3.10 | 9.62 | 1.57 | 0.28 | 16.00 | 0.00 | 16.00 |
SPI2 | 75.00 | 0.00 | 0.33 | 0.00 | 0.62 | 0.39 | 2.05 | 0.28 | 3.00 | 0.00 | 3.00 |
SPI3 | 75.00 | 0.00 | 1.96 | 1.00 | 2.59 | 6.69 | 2.08 | 0.28 | 12.00 | 0.00 | 12.00 |
SPI4 | 75.00 | 0.00 | 2.80 | 1.00 | 3.84 | 14.76 | 2.13 | 0.28 | 19.00 | 0.00 | 19.00 |
SPI5 | 75.00 | 0.00 | 0.63 | 0.00 | 1.61 | 2.59 | 3.72 | 0.28 | 10.00 | 0.00 | 10.00 |
SPI6 | 75.00 | 0.00 | 0.31 | 0.00 | 0.49 | 0.24 | 1.20 | 0.28 | 2.00 | 0.00 | 2.00 |
SPI7 | 75.00 | 0.00 | 1.35 | 1.00 | 0.98 | 0.96 | 0.13 | 0.28 | 3.00 | 0.00 | 3.00 |
SPI8 | 75.00 | 0.00 | 3.36 | 1.00 | 4.41 | 19.45 | 1.27 | 0.28 | 15.00 | 0.00 | 15.00 |
Tests of Normality | ||||||
---|---|---|---|---|---|---|
Indicator | Kolmogorov-Smirnov Test | Shapiro-Wilk Test | ||||
Statistic | df | Sig. | Statistic | df | Sig. | |
OI1 | 0.125 | 75 | 0.006 | 0.911 | 75 | 0.000 |
OI2 | 0.141 | 75 | 0.001 | 0.901 | 75 | 0.000 |
OI3 | 0.105 | 75 | 0.040 | 0.943 | 75 | 0.002 |
OI4 | 0.156 | 75 | 0.000 | 0.949 | 75 | 0.005 |
OI5 | 0.490 | 75 | 0.000 | 0.490 | 75 | 0.000 |
OI6 | 0.177 | 75 | 0.000 | 0.945 | 75 | 0.003 |
OI7 | 0.119 | 75 | 0.010 | 0.978 | 75 | 0.224 |
OI8 | 0.087 | 75 | 0.200 * | 0.973 | 75 | 0.112 |
OI19 | 0.121 | 75 | 0.009 | 0.910 | 75 | 0.000 |
OI10 | 0.167 | 75 | 0.000 | 0.922 | 75 | 0.000 |
OI11 | 0.082 | 75 | 0.200 * | 0.974 | 75 | 0.130 |
OI12 | 0.102 | 75 | 0.053 | 0.980 | 75 | 0.289 |
SPI1 | 0.199 | 75 | 0.000 | 0.831 | 75 | 0.000 |
SPI2 | 0.437 | 75 | 0.000 | 0.584 | 75 | 0.000 |
SPI3 | 0.231 | 75 | 0.000 | 0.744 | 75 | 0.000 |
SPI4 | 0.233 | 75 | 0.000 | 0.734 | 75 | 0.000 |
SPI5 | 0.425 | 75 | 0.000 | 0.455 | 75 | 0.000 |
SPI6 | 0.440 | 75 | 0.000 | 0.601 | 75 | 0.000 |
SPI7 | 0.198 | 75 | 0.000 | 0.877 | 75 | 0.000 |
SPI8 | 0.274 | 75 | 0.000 | 0.763 | 75 | 0.000 |
Appendix E
Model Description | Model Type | Number of Outliers | Model Fit/Stationary R-Squared | SPTs |
---|---|---|---|---|
SPI1 Total number of recorded occurrences | ARIMA (0,0,0) (0,0,0) | 3 | 0.531 | ≤2 |
SPI2 number of reported MOR occurrences | Simple Seasonal | 0 | 0.772 | ≤1 |
SPI3 number of recorded changes | Simple Seasonal | 0 | 0.696 | ≤2 |
SPI4 number of conducted risk assessments | ARIMA (0,0,0) (0,0,0) | 6 | 0.714 | ≤2 |
SPI5 number of detected unacceptable risks | ARIMA (0,0,0) (0,0,0) | 16 | 1.000 | ≤1 |
SPI6 number of held safety review boards | Simple Seasonal | 0 | 0.792 | ≥1 |
SPI7 number of conducted audits/inspections | ARIMA (0,0,0) (1,0,0) | 1 | 0.383 | ≥1 |
SPI8 number of determined non-compliances | Simple Seasonal | 0 | 0.618 | ≤4 |
Month | SPI1 | SPI2 | SPI3 | SPI4 | SPI5 | SPI6 | SPI7 | SPI8 |
---|---|---|---|---|---|---|---|---|
Apr-20 | 10 | 1 | 5 | 6 | 2 | 1 | 2 | 5 |
May-20 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 3 |
Jun-20 | 2 | 1 | 2 | 2 | 0 | 0 | 2 | 2 |
Jul-20 | 2 | 0 | 2 | 2 | 0 | 1 | 2 | 2 |
Aug-20 | 2 | 1 | 4 | 2 | 0 | 0 | 1 | 1 |
Sep-20 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 7 |
Oct-20 | 2 | 1 | 3 | 2 | 0 | 0 | 2 | 5 |
Nov-20 | 2 | 0 | 2 | 2 | 0 | 0 | 2 | 3 |
Dec-20 | 2 | 0 | 2 | 2 | 0 | 0 | 1 | 3 |
Jan-21 | 2 | 0 | 3 | 2 | 0 | 0 | 1 | 1 |
Feb-21 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 5 |
Mar-21 | 2 | 0 | 3 | 2 | 0 | 0 | 1 | 4 |
Apr-21 | 10 | 1 | 5 | 6 | 2 | 1 | 2 | 5 |
May-21 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 3 |
Jun-21 | 2 | 1 | 2 | 2 | 0 | 0 | 2 | 2 |
Jul-21 | 2 | 0 | 2 | 2 | 0 | 1 | 2 | 2 |
Aug-21 | 2 | 1 | 4 | 2 | 0 | 0 | 1 | 1 |
Sep-21 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 7 |
Oct-21 | 2 | 1 | 3 | 2 | 0 | 0 | 2 | 5 |
Nov-21 | 2 | 0 | 2 | 2 | 0 | 0 | 2 | 3 |
Dec-21 | 2 | 0 | 2 | 2 | 0 | 0 | 1 | 3 |
Jan-22 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 1 |
Feb-22 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 5 |
Mar-22 | 2 | 0 | 3 | 2 | 0 | 0 | 2 | 4 |
Target Model of SPIs | Model Quality | ||||
---|---|---|---|---|---|
RMSE | RMSPE | AIC | BIC | R-Squared | |
SPI1 | 0.28 | 0.05 | −202.24 | −65.09 | 0.98 |
SPI2 | 0.58 | 0.14 | −99.05 | 38.11 | 0.95 |
SPI3 | 2.24 | 0.30 | 91.08 | 228.24 | 0.95 |
SPI4 | 0.99 | 0.15 | −22.63 | 114.53 | 0.94 |
SPI5 | 2.31 | 0.39 | 95.51 | 232.67 | 0.93 |
SPI6 | 1.96 | 0.32 | 72.63 | 209.79 | 0.93 |
SPI7 | 3.27 | 0.57 | 144.38 | 281.53 | 0.93 |
SPI8 | 0.39 | 0.09 | −151.72 | −14.56 | 0.92 |
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Year | SPI1 | SPI2 | … | SPI11 | … | SPI14 | SPI15 |
---|---|---|---|---|---|---|---|
2014 | 29 | 7 | … | 25 | … | 4 | 0.012 |
2015 | 22 | 2 | … | 14 | … | 4 | 0.017 |
2016 | 34 | 9 | … | 24 | … | 6 | 0.019 |
2017 | 21 | 3 | … | 13 | … | 3 | 0.012 |
2018 | 43 | 5 | … | 16 | … | 2 | 0.020 |
2019 | 70 | 4 | … | 45 | … | 2 | 0.030 |
SPT | 10 | 2 | … | 10 | … | 5 | 0.002 |
⇓ | ⇓ | … | ⇓ | … | ⇑ | ⇓ |
Year | Values (SPI1) | Forecast | Lower Limit of Reliability | Upper Limit of Reliability |
---|---|---|---|---|
2014 | 29 | |||
2015 | 22 | |||
2016 | 34 | |||
2017 | 21 | |||
2018 | 43 | |||
2019 | 70 | 70 | 70 | 70 |
2020 | 73 | 46 | 101 | |
2021 | 82 | 47 | 116 | |
2022 | 90 | 50 | 130 | |
2023 | 99 | 53 | 144 | |
2024 | 107 | 57 | 157 |
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Bartulović, D.; Steiner, S. Conceptual Model of Predictive Safety Management Methodology in Aviation. Aerospace 2023, 10, 268. https://doi.org/10.3390/aerospace10030268
Bartulović D, Steiner S. Conceptual Model of Predictive Safety Management Methodology in Aviation. Aerospace. 2023; 10(3):268. https://doi.org/10.3390/aerospace10030268
Chicago/Turabian StyleBartulović, Dajana, and Sanja Steiner. 2023. "Conceptual Model of Predictive Safety Management Methodology in Aviation" Aerospace 10, no. 3: 268. https://doi.org/10.3390/aerospace10030268
APA StyleBartulović, D., & Steiner, S. (2023). Conceptual Model of Predictive Safety Management Methodology in Aviation. Aerospace, 10(3), 268. https://doi.org/10.3390/aerospace10030268