Обсяги поставок протягом півріччя, шт.
№ поставки |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Величина поставки |
29 |
29 |
29 |
29 |
58 |
29 |
29 |
29 |
№ поставки |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
Величина поставки |
29 |
29 |
58 |
29 |
29 |
29 |
29 |
29 |
Завдання
Стандарти обслуговування клієнтів декларують ймовірність відсутності запасу товару на складі на рівні 15 % (або доступність товару із запасу на складі на рівні 85 %). Використовуючи табл. А, оцініть наявність надмірного запасу в утримуваному на складі запасі товару.
Таблиця А
Рівень обслуговування як функція коефіцієнта k для розподілів: нормального, експонентного і розподілу Пуассона (для 5 вибраних середніх значень)
k |
Нор-мальний розподіл |
Експонент-ний розподіл |
Розподіл Пуассона для середнього значення попиту Р= |
||||
1 |
2 |
3 |
4 |
5 |
|||
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
0 |
50,00% |
63,21% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,05 |
51,99% |
65,01% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,1 |
53,98% |
66,71% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,15 |
55,96% |
68,34% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,2 |
57,93% |
69,88% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,25 |
59,87% |
71,35% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,3 |
61,79% |
72,75% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,35 |
63,68% |
74,08% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,4 |
65,54% |
75,34% |
73,58% |
67,67% |
64,72% |
62,88% |
61,60% |
0,45 |
67,36% |
76,54% |
73,58% |
67,67% |
64,72% |
62,88% |
76,22% |
0,5 |
69,15% |
77,69% |
73,58% |
67,67% |
64,72% |
78,51% |
76,22% |
0,55 |
70,88% |
78,78% |
73,58% |
67,67% |
64,72% |
78,51% |
76,22% |
0,6 |
72,57% |
79,81% |
73,58% |
67,67% |
81,53% |
78,51% |
76,22% |
0,65 |
74,22% |
80,80% |
73,58% |
67,67% |
81,53% |
78,51% |
76,22% |
0,7 |
75,80% |
81,73% |
73,58% |
67,67% |
81,53% |
78,51% |
76,22% |
0,75 |
77,34% |
82,62% |
73,58% |
85,71% |
81,53% |
78,51% |
76,22% |
0,8 |
78,81% |
83,47% |
73,58% |
85,71% |
81,53% |
78,51% |
76,22% |
0,85 |
80,23% |
84,28% |
73,58% |
85,71% |
81,53% |
78,51% |
76,22% |
0,9 |
81,59% |
85,04% |
73,58% |
85,71% |
81,53% |
78,51% |
86,66% |
0,95 |
82,89% |
85,77% |
73,58% |
85,71% |
81,53% |
78,51% |
86,66% |
1 |
84,13% |
86,47% |
91,97% |
85,71% |
81,53% |
88,93% |
86,66% |
1,05 |
85,31% |
87,13% |
91,97% |
85,71% |
81,53% |
88,93% |
86,66% |
1,1 |
86,43% |
87,75% |
91,97% |
85,71% |
81,53% |
88,93% |
86,66% |
1,15 |
87,49% |
88,35% |
91,97% |
85,71% |
81,53% |
88,93% |
86,66% |
1,2 |
88,49% |
88,92% |
91,97% |
85,71% |
91,61% |
88,93% |
86,66% |
1,25 |
89,44% |
89,46% |
91,97% |
85,71% |
91,61% |
88,93% |
86,66% |
1,3 |
90,32% |
89,97% |
91,97% |
85,71% |
91,61% |
88,93% |
86,66% |
1,35 |
91,15% |
90,46% |
91,97% |
85,71% |
91,61% |
88,93% |
93,19% |
1,4 |
91,92% |
90,93% |
91,97% |
85,71% |
91,61% |
88,93% |
93,19% |
1,45 |
92,65% |
91,37% |
91,97% |
94,73% |
91,61% |
88,93% |
93,19% |
1,5 |
93,32% |
91,79% |
91,97% |
94,73% |
91,61% |
94,89% |
93,19% |
Продовження табл. А
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
1,55 |
93,94% |
92,19% |
91,97% |
94,73% |
91,61% |
94,89% |
93,19% |
1,6 |
94,52% |
92,57% |
91,97% |
94,73% |
91,61% |
94,89% |
93,19% |
1,65 |
95,05% |
92,93% |
91,97% |
94,73% |
91,61% |
94,89% |
93,19% |
1,7 |
95,54% |
93,28% |
91,97% |
94,73% |
91,61% |
94,89% |
93,19% |
1,75 |
95,99% |
93,61% |
91,97% |
94,73% |
96,65% |
94,89% |
93,19% |
1,8 |
96,41% |
93,92% |
91,97% |
94,73% |
96,65% |
94,89% |
96,82% |
1,85 |
96,78% |
94,22% |
91,97% |
94,73% |
96,65% |
94,89% |
96,82% |
1,9 |
97,13% |
94,50% |
91,97% |
94,73% |
96,65% |
94,89% |
96,82% |
1,95 |
97,44% |
94,77% |
91,97% |
94,73% |
96,65% |
94,89% |
96,82% |
2 |
97,72% |
95,02% |
98,10% |
94,73% |
96,65% |
97,86% |
96,82% |
2,05 |
97,98% |
95,26% |
98,10% |
94,73% |
96,65% |
97,86% |
96,82% |
2,1 |
98,21% |
95,50% |
98,10% |
94,73% |
96,65% |
97,86% |
96,82% |
2,15 |
98,42% |
95,71% |
98,10% |
98,34% |
96,65% |
97,86% |
96,82% |
2,2 |
98,61% |
95,92% |
98,10% |
98,34% |
96,65% |
97,86% |
96,82% |
2,25 |
98,78% |
96,12% |
98,10% |
98,34% |
96,65% |
97,86% |
98,63% |
2,3 |
98,93% |
96,31% |
98,10% |
98,34% |
96,65% |
97,86% |
98,63% |
2,35 |
99,06% |
96,49% |
98,10% |
98,34% |
98,81% |
97,86% |
98,63% |
2,4 |
99,18% |
96,66% |
98,10% |
98,34% |
98,81% |
97,86% |
98,63% |
2,45 |
99,29% |
96,83% |
98,10% |
98,34% |
98,81% |
97,86% |
98,63% |
2,5 |
99,38% |
96,98% |
98,10% |
98,34% |
98,81% |
99,19% |
98,63% |
2,55 |
99,46% |
97,13% |
98,10% |
98,34% |
98,81% |
99,19% |
98,63% |
2,6 |
99,53% |
97,27% |
98,10% |
98,34% |
98,81% |
99,19% |
98,63% |
2,65 |
99,60% |
97,40% |
98,10% |
98,34% |
98,81% |
99,19% |
98,63% |
2,7 |
99,65% |
97,53% |
98,10% |
98,34% |
98,81% |
99,19% |
99,45% |
2,75 |
99,70% |
97,65% |
98,10% |
98,34% |
98,81% |
99,19% |
99,45% |
2,8 |
99,74% |
97,76% |
98,10% |
98,34% |
98,81% |
99,19% |
99,45% |
2,85 |
99,78% |
97,87% |
98,10% |
99,55% |
98,81% |
99,19% |
99,45% |
2,9 |
99,81% |
97,98% |
98,10% |
99,55% |
99,62% |
99,19% |
99,45% |
2,95 |
99,84% |
98,07% |
98,10% |
99,55% |
99,62% |
99,19% |
99,45% |
3 |
99,87% |
98,17% |
99,63% |
99,55% |
99,62% |
99,72% |
99,45% |
3,05 |
99,89% |
98,26% |
99,63% |
99,55% |
99,62% |
99,72% |
99,45% |
3,1 |
99,90% |
98,34% |
99,63% |
99,55% |
99,62% |
99,72% |
99,45% |
3,15 |
99,92% |
98,42% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,2 |
99,93% |
98,50% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,25 |
99,94% |
98,57% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,3 |
99,95% |
98,64% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,35 |
99,96% |
98,71% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,4 |
99,97% |
98,77% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,45 |
99,97% |
98,83% |
99,63% |
99,55% |
99,62% |
99,72% |
99,80% |
3,5 |
99,98% |
98,89% |
99,63% |
99,55% |
99,89% |
99,91% |
99,80% |
Таблиця 1