Вычисление показателей параметрической надежности по характеристикам случайных процессов изменения определяющих параметров вар — копия
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«Уфимский государственный авиационный технический университет»
Кафедра ТК
ОТЧЕТ
по лабораторной работе
«Вычисление показателей параметрической надежности по характеристикам случайных процессов изменения определяющих параметров»
по дисциплине «Основы теории надежности программных средств ВТ и АС»
Вариант 16
Проверил: проф.
Гвоздвев В. Е.
Цель: Изучение методики проверки гипотезы о равенстве эмпирического центра группирования некоторому теоретическому значению.
Ход работы:
Вычисление вероятности нахождения в работоспособном состоянии
Таблица значений случайных величин
:
где
– параметры линейной зависимости,
подчиняющиеся нормальным законам
распределения
.
{
}
– математические ожидания параметров
a,
b,
определяемые по правилам
;
{
}
– значения среднеквадратических
отклонений, определяемые по правилам
;
– случайная
составляющая, подчиняющаяся нормальному
закону распределения
,
где
;
l
– номер реализации случайных величин,
k – номер варианта задания
Границы допуска
являются равномерно распределенными
случайными величинами
,
определяемые по правилам
Границы равны 17,2 и 0,02 соответственно.
Таблица 1– Значения параметров a, b, ε
a |
b |
|
10.02 |
16 |
0.0582072 |
3.02 |
16 |
0.0582234 |
0.02 |
1 |
0.0711879 |
10.02 |
10 |
0.0745063 |
8.02 |
14 |
0.0749078 |
16.02 |
15 |
0.0775539 |
3.02 |
8 |
0.0806752 |
16.02 |
13 |
0.0824794 |
6.02 |
1 |
0.0827978 |
9.02 |
0 |
0.0880552 |
3.02 |
6 |
0.0959400 |
13.02 |
16 |
0.1025817 |
15.02 |
5 |
0.1153888 |
7.02 |
0 |
0.1197096 |
15.02 |
12 |
0.1249749 |
16.02 |
5 |
0.1284796 |
14.02 |
0 |
0.1325132 |
1.02 |
0 |
0.1453319 |
7.02 |
11 |
0.1495722 |
8.02 |
5 |
0.1535664 |
10.02 |
6 |
0.1548646 |
11.02 |
10 |
0.1589318 |
16.02 |
0 |
0.1807395 |
13.02 |
2 |
0.1833917 |
5.02 |
15 |
0.1857499 |
11.02 |
7 |
0.1865395 |
2.02 |
0 |
0.1906248 |
6.02 |
13 |
0.1968529 |
8.02 |
9 |
0.2005560 |
5.02 |
6 |
0.2049981 |
16.02 |
16 |
0.2100245 |
13.02 |
0 |
0.2129435 |
3.02 |
4 |
0.2322600 |
8.02 |
5 |
0.2368440 |
12.02 |
14 |
0.2448139 |
9.02 |
16 |
0.2489346 |
12.02 |
8 |
0.2513066 |
15.02 |
12 |
0.2548955 |
11.02 |
9 |
0.2574303 |
12.02 |
13 |
0.2622303 |
5.02 |
8 |
0.2633259 |
2.02 |
15 |
0.2688964 |
8.02 |
9 |
0.2798408 |
12.02 |
3 |
0.2848198 |
10.02 |
1 |
0.2891823 |
12.02 |
16 |
0.3010837 |
2.02 |
8 |
0.3018213 |
13.02 |
0 |
0.3028130 |
5.02 |
5 |
0.3041844 |
15.02 |
10 |
0.3064207 |
9.02 |
2 |
0.3086357 |
3.02 |
11 |
0.3137953 |
2.02 |
14 |
0.3171248 |
6.02 |
15 |
0.3175962 |
13.02 |
15 |
0.3231503 |
14.02 |
15 |
0.3291655 |
2.02 |
1 |
0.3318445 |
14.02 |
5 |
0.3380404 |
16.02 |
13 |
0.3401788 |
15.02 |
4 |
0.3415389 |
0.02 |
15 |
0.3434123 |
8.02 |
2 |
0.3517494 |
2.02 |
16 |
0.3577595 |
14.02 |
11 |
0.3621259 |
9.02 |
15 |
0.3623418 |
9.02 |
13 |
0.3649151 |
14.02 |
16 |
0.3754212 |
4.02 |
15 |
0.3881511 |
4.02 |
13 |
0.3887919 |
9.02 |
13 |
0.3920619 |
2.02 |
1 |
0.3979223 |
11.02 |
0 |
0.4084640 |
13.02 |
7 |
0.4122978 |
13.02 |
7 |
0.4124553 |
0.02 |
8 |
0.4211787 |
8.02 |
13 |
0.4241535 |
16.02 |
2 |
0.4391664 |
11.02 |
6 |
0.4443948 |
2.02 |
1 |
0.4513588 |
16.02 |
1 |
0.4590704 |
9.02 |
6 |
0.4604933 |
4.02 |
12 |
0.4647705 |
15.02 |
6 |
0.4748680 |
6.02 |
15 |
0.4796357 |
7.02 |
4 |
0.4847749 |
6.02 |
0 |
0.4848261 |
12.02 |
11 |
0.4851586 |
16.02 |
4 |
0.4853471 |
2.02 |
8 |
0.4873063 |
2.02 |
10 |
0.4884534 |
0.02 |
7 |
0.5071746 |
15.02 |
14 |
0.5089851 |
5.02 |
8 |
0.5096715 |
5.02 |
1 |
0.5123338 |
15.02 |
9 |
0.5149999 |
8.02 |
7 |
0.5197749 |
13.02 |
4 |
0.5256822 |
16.02 |
11 |
0.5283856 |
12.02 |
0 |
0.5358440 |
14.02 |
9 |
0.5394914 |
13.02 |
13 |
0.5427368 |
12.02 |
4 |
0.5591716 |
1.02 |
9 |
0.5617356 |
2.02 |
9 |
0.5621905 |
13.02 |
3 |
0.5664356 |
12.02 |
11 |
0.5730262 |
16.02 |
0 |
0.5773922 |
16.02 |
12 |
0.5894652 |
8.02 |
6 |
0.5928833 |
6.02 |
0 |
0.5945952 |
2.02 |
6 |
0.6127347 |
11.02 |
5 |
0.6128695 |
10.02 |
8 |
0.6168056 |
8.02 |
15 |
0.6237261 |
5.02 |
7 |
0.6246517 |
10.02 |
8 |
0.6295171 |
4.02 |
9 |
0.6345944 |
8.02 |
1 |
0.6348616 |
3.02 |
5 |
0.6361162 |
0.02 |
9 |
0.6394548 |
2.02 |
3 |
0.6398293 |
10.02 |
6 |
0.6408564 |
14.02 |
2 |
0.6417942 |
1.02 |
16 |
0.6476960 |
13.02 |
12 |
0.6559456 |
13.02 |
2 |
0.6570336 |
12.02 |
7 |
0.6599694 |
5.02 |
9 |
0.6685374 |
0.02 |
14 |
0.6697245 |
10.02 |
5 |
0.6713867 |
2.02 |
4 |
0.6731647 |
3.02 |
2 |
0.6788579 |
8.02 |
4 |
0.6807285 |
4.02 |
1 |
0.6917610 |
12.02 |
11 |
0.6925788 |
9.02 |
2 |
0.6965537 |
16.02 |
11 |
0.7004186 |
8.02 |
9 |
0.7079301 |
11.02 |
0 |
0.7216994 |
5.02 |
14 |
0.7228783 |
6.02 |
1 |
0.7234333 |
4.02 |
11 |
0.7333447 |
8.02 |
0 |
0.7399213 |
7.02 |
10 |
0.7400471 |
6.02 |
8 |
0.7437136 |
6.02 |
9 |
0.7509342 |
4.02 |
12 |
0.7619200 |
0.02 |
2 |
0.7654239 |
1.02 |
15 |
0.7788661 |
5.02 |
13 |
0.7796420 |
5.02 |
15 |
0.7801674 |
0.02 |
8 |
0.7803161 |
12.02 |
9 |
0.7803242 |
4.02 |
6 |
0.7814391 |
9.02 |
13 |
0.7818038 |
6.02 |
13 |
0.7875154 |
10.02 |
3 |
0.7908174 |
10.02 |
0 |
0.7921904 |
7.02 |
12 |
0.7943016 |
10.02 |
12 |
0.7959577 |
**Параметр учитывает погрешность измерений в каждый отрезок времени.
Тут что-то не так, не помню что именно
Таблица значений
:
Таблица 2 – Значения определяющих параметров в каждом временном сечении (0-6)
n t |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
10,078207 |
-5,921793 |
-21,921793 |
-37,921793 |
-53,921793 |
-69,921793 |
-85,921793 |
|
3,078207 |
-12,921793 |
-28,921793 |
-44,921793 |
-60,921793 |
-76,921793 |
-92,921793 |
|
0,078207 |
-0,921793 |
-1,921793 |
-2,921793 |
-3,921793 |
-4,921793 |
-5,921793 |
|
10,078207 |
0,078207 |
-9,921793 |
-19,921793 |
-29,921793 |
-39,921793 |
-49,921793 |
|
8,078207 |
-5,921793 |
-19,921793 |
-33,921793 |
-47,921793 |
-61,921793 |
-75,921793 |
|
16,078207 |
1,078207 |
-13,921793 |
-28,921793 |
-43,921793 |
-58,921793 |
-73,921793 |
|
3,078207 |
-4,921793 |
-12,921793 |
-20,921793 |
-28,921793 |
-36,921793 |
-44,921793 |
|
16,078207 |
3,078207 |
-9,921793 |
-22,921793 |
-35,921793 |
-48,921793 |
-61,921793 |
|
6,078207 |
5,078207 |
4,078207 |
3,078207 |
2,078207 |
1,078207 |
0,078207 |
|
9,078207 |
9,078207 |
9,078207 |
9,078207 |
9,078207 |
9,078207 |
9,078207 |
|
3,078207 |
-2,921793 |
-8,921793 |
-14,921793 |
-20,921793 |
-26,921793 |
-32,921793 |
|
13,078207 |
-2,921793 |
-18,921793 |
-34,921793 |
-50,921793 |
-66,921793 |
-82,921793 |
|
15,078207 |
10,078207 |
5,078207 |
0,078207 |
-4,921793 |
-9,921793 |
-14,921793 |
|
7,078207 |
7,078207 |
7,078207 |
7,078207 |
7,078207 |
7,078207 |
7,078207 |
|
15,078207 |
3,078207 |
-8,921793 |
-20,921793 |
-32,921793 |
-44,921793 |
-56,921793 |
|
16,078207 |
11,078207 |
6,078207 |
1,078207 |
-3,921793 |
-8,921793 |
-13,921793 |
|
14,078207 |
14,078207 |
14,078207 |
14,078207 |
14,078207 |
14,078207 |
14,078207 |
|
1,078207 |
1,078207 |
1,078207 |
1,078207 |
1,078207 |
1,078207 |
1,078207 |
|
7,078207 |
-3,921793 |
-14,921793 |
-25,921793 |
-36,921793 |
-47,921793 |
-58,921793 |
|
8,078207 |
3,078207 |
-1,921793 |
-6,921793 |
-11,921793 |
-16,921793 |
-21,921793 |
|
10,078207 |
4,078207 |
-1,921793 |
-7,921793 |
-13,921793 |
-19,921793 |
-25,921793 |
|
11,078207 |
1,078207 |
-8,921793 |
-18,921793 |
-28,921793 |
-38,921793 |
-48,921793 |
|
16,078207 |
16,078207 |
16,078207 |
16,078207 |
16,078207 |
16,078207 |
16,078207 |
|
13,078207 |
11,078207 |
9,078207 |
7,078207 |
5,078207 |
3,078207 |
1,078207 |
|
5,078207 |
-9,921793 |
-24,921793 |
-39,921793 |
-54,921793 |
-69,921793 |
-84,921793 |
|
11,078207 |
4,078207 |
-2,921793 |
-9,921793 |
-16,921793 |
-23,921793 |
-30,921793 |
|
2,078207 |
2,078207 |
2,078207 |
2,078207 |
2,078207 |
2,078207 |
2,078207 |
|
6,078207 |
-6,921793 |
-19,921793 |
-32,921793 |
-45,921793 |
-58,921793 |
-71,921793 |
|
8,078207 |
-0,921793 |
-9,921793 |
-18,921793 |
-27,921793 |
-36,921793 |
-45,921793 |
|
5,078207 |
-0,921793 |
-6,921793 |
-12,921793 |
-18,921793 |
-24,921793 |
-30,921793 |
|
16,078207 |
0,078207 |
-15,921793 |
-31,921793 |
-47,921793 |
-63,921793 |
-79,921793 |
|
13,078207 |
13,078207 |
13,078207 |
13,078207 |
13,078207 |
13,078207 |
13,078207 |
|
3,078207 |
-0,921793 |
-4,921793 |
-8,921793 |
-12,921793 |
-16,921793 |
-20,921793 |
|
8,078207 |
3,078207 |
-1,921793 |
-6,921793 |
-11,921793 |
-16,921793 |
-21,921793 |
|
12,078207 |
-1,921793 |
-15,921793 |
-29,921793 |
-43,921793 |
-57,921793 |
-71,921793 |
|
9,078207 |
-6,921793 |
-22,921793 |
-38,921793 |
-54,921793 |
-70,921793 |
-86,921793 |
|
12,078207 |
4,078207 |
-3,921793 |
-11,921793 |
-19,921793 |
-27,921793 |
-35,921793 |
|
15,078207 |
3,078207 |
-8,921793 |
-20,921793 |
-32,921793 |
-44,921793 |
-56,921793 |
|
11,078207 |
2,078207 |
-6,921793 |
-15,921793 |
-24,921793 |
-33,921793 |
-42,921793 |
|
12,078207 |
-0,921793 |
-13,921793 |
-26,921793 |
-39,921793 |
-52,921793 |
-65,921793 |
|
5,078207 |
-2,921793 |
-10,921793 |
-18,921793 |
-26,921793 |
-34,921793 |
-42,921793 |
|
2,078207 |
-12,921793 |
-27,921793 |
-42,921793 |
-57,921793 |
-72,921793 |
-87,921793 |
|
8,078207 |
-0,921793 |
-9,921793 |
-18,921793 |
-27,921793 |
-36,921793 |
-45,921793 |
|
12,078207 |
9,078207 |
6,078207 |
3,078207 |
0,078207 |
-2,921793 |
-5,921793 |
|
10,078207 |
9,078207 |
8,078207 |
7,078207 |
6,078207 |
5,078207 |
4,078207 |
|
12,078207 |
-3,921793 |
-19,921793 |
-35,921793 |
-51,921793 |
-67,921793 |
-83,921793 |
|
2,078207 |
-5,921793 |
-13,921793 |
-21,921793 |
-29,921793 |
-37,921793 |
-45,921793 |
|
13,078207 |
13,078207 |
13,078207 |
13,078207 |
13,078207 |
13,078207 |
13,078207 |
|
5,078207 |
0,078207 |
-4,921793 |
-9,921793 |
-14,921793 |
-19,921793 |
-24,921793 |
|
15,078207 |
5,078207 |
-4,921793 |
-14,921793 |
-24,921793 |
-34,921793 |
-44,921793 |
|
9,078207 |
7,078207 |
5,078207 |
3,078207 |
1,078207 |
-0,921793 |
-2,921793 |
|
3,078207 |
-7,921793 |
-18,921793 |
-29,921793 |
-40,921793 |
-51,921793 |
-62,921793 |
|
2,078207 |
-11,921793 |
-25,921793 |
-39,921793 |
-53,921793 |
-67,921793 |
-81,921793 |
|
6,078207 |
-8,921793 |
-23,921793 |
-38,921793 |
-53,921793 |
-68,921793 |
-83,921793 |
|
13,078207 |
-1,921793 |
-16,921793 |
-31,921793 |
-46,921793 |
-61,921793 |
-76,921793 |
|
14,078207 |
-0,921793 |
-15,921793 |
-30,921793 |
-45,921793 |
-60,921793 |
-75,921793 |
|
2,078207 |
1,078207 |
0,078207 |
-0,921793 |
-1,921793 |
-2,921793 |
-3,921793 |
|
14,078207 |
9,078207 |
4,078207 |
-0,921793 |
-5,921793 |
-10,921793 |
-15,921793 |
|
16,078207 |
3,078207 |
-9,921793 |
-22,921793 |
-35,921793 |
-48,921793 |
-61,921793 |
|
15,078207 |
11,078207 |
7,078207 |
3,078207 |
-0,921793 |
-4,921793 |
-8,921793 |
|
0,078207 |
-14,921793 |
-29,921793 |
-44,921793 |
-59,921793 |
-74,921793 |
-89,921793 |
|
8,078207 |
6,078207 |
4,078207 |
2,078207 |
0,078207 |
-1,921793 |
-3,921793 |
|
2,078207 |
-13,921793 |
-29,921793 |
-45,921793 |
-61,921793 |
-77,921793 |
-93,921793 |
|
14,078207 |
3,078207 |
-7,921793 |
-18,921793 |
-29,921793 |
-40,921793 |
-51,921793 |
|
9,078207 |
-5,921793 |
-20,921793 |
-35,921793 |
-50,921793 |
-65,921793 |
-80,921793 |
|
9,078207 |
-3,921793 |
-16,921793 |
-29,921793 |
-42,921793 |
-55,921793 |
-68,921793 |
|
14,078207 |
-1,921793 |
-17,921793 |
-33,921793 |
-49,921793 |
-65,921793 |
-81,921793 |
|
4,078207 |
-10,921793 |
-25,921793 |
-40,921793 |
-55,921793 |
-70,921793 |
-85,921793 |
|
4,078207 |
-8,921793 |
-21,921793 |
-34,921793 |
-47,921793 |
-60,921793 |
-73,921793 |
|
9,078207 |
-3,921793 |
-16,921793 |
-29,921793 |
-42,921793 |
-55,921793 |
-68,921793 |
|
2,078207 |
1,078207 |
0,078207 |
-0,921793 |
-1,921793 |
-2,921793 |
-3,921793 |
|
11,078207 |
11,078207 |
11,078207 |
11,078207 |
11,078207 |
11,078207 |
11,078207 |
|
13,078207 |
6,078207 |
-0,921793 |
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