Зад лин прогр и мет их решения 16 12 08
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Вариант |
a1 |
a2 |
a3 |
b1 |
b2 |
b 3 |
c1 |
c2 |
c3 |
α |
β |
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19 |
27 |
15 |
3 |
9 |
15 |
15 |
606 |
802 |
840 |
6 |
11 |
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|
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|
20 |
23 |
11 |
1 |
13 |
13 |
11 |
608 |
614 |
575 |
7 |
5 |
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|
|
|
|
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|
|
21 |
7 |
8 |
1 |
8 |
14 |
7 |
417 |
580 |
591 |
5 |
5 |
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|
22 |
31 |
9 |
1 |
19 |
16 |
19 |
931 |
706 |
866 |
9 |
16 |
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|
|
|
|
|
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|
23 |
23 |
11 |
1 |
13 |
13 |
11 |
608 |
614 |
575 |
7 |
5 |
|
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|
24 |
7 |
8 |
1 |
8 |
14 |
7 |
417 |
580 |
591 |
5 |
5 |
|
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|
|
|
|
|
|
|
|
|
|
25 |
31 |
9 |
1 |
19 |
16 |
19 |
589 |
288 |
969 |
9 |
16 |
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26 |
8 |
3 |
1 |
7 |
6 |
5 |
476 |
364 |
319 |
10 |
11 |
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|
27 |
18 |
15 |
1 |
10 |
9 |
3 |
950 |
945 |
513 |
13 |
11 |
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|
28 |
12 |
9 |
5 |
8 |
7 |
7 |
612 |
492 |
562 |
9 |
11 |
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29 |
10 |
5 |
2 |
8 |
7 |
7 |
459 |
379 |
459 |
9 |
9 |
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30 |
6 |
3 |
1 |
10 |
9 |
5 |
735 |
765 |
455 |
4 |
8 |
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235
Задание 3. Задача об аренде оборудования.
Рассматривается дискретная задача об аренде оборудования на 6 месяцев. Стоимости аренды ci j
от начала i-го месяца до начала j-го месяца в у.е. даны в таблице. (Постановку задачи об аренде оборудования и методы ее решения смотри ниже в разделе 3). Требуется найти все оптимальные планы аренды методом потенциалов или на сетевой модели или табличным способом.
Вариант 1
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
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|
|
|
|
|
|
i=1 |
|
41 |
77 |
117 |
152 |
181 |
229 |
i=2 |
|
– |
38 |
76 |
114 |
152 |
187 |
i=3 |
|
– |
– |
37 |
74 |
113 |
151 |
i=4 |
|
– |
– |
– |
38 |
75 |
113 |
i=5 |
|
– |
– |
– |
– |
39 |
76 |
i=6 |
|
– |
– |
– |
– |
– |
40 |
Вариант |
2 |
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
28 |
53 |
77 |
101 |
132 |
158 |
i=2 |
|
– |
26 |
52 |
80 |
106 |
132 |
i=3 |
|
– |
– |
27 |
50 |
78 |
104 |
i=4 |
|
– |
– |
– |
26 |
52 |
78 |
i=5 |
|
– |
– |
– |
– |
27 |
54 |
i=6 |
|
– |
– |
– |
– |
– |
31 |
Вариант 3 |
|
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
35 |
65 |
99 |
128 |
161 |
194 |
i=2 |
|
– |
33 |
65 |
96 |
128 |
158 |
i=3 |
|
– |
– |
32 |
62 |
95 |
125 |
i=4 |
|
– |
– |
– |
32 |
64 |
97 |
i=5 |
|
– |
– |
– |
– |
33 |
65 |
i=6 |
|
– |
– |
– |
– |
– |
34 |
Вариант 4 |
|
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
32 |
65 |
80 |
101 |
131 |
162 |
i=2 |
|
– |
24 |
48 |
74 |
98 |
126 |
i=3 |
|
– |
– |
25 |
46 |
72 |
96 |
i=4 |
|
– |
– |
– |
24 |
48 |
72 |
i=5 |
|
– |
– |
– |
– |
25 |
50 |
i=6 |
|
– |
– |
– |
– |
– |
29 |
Вариант 5 |
|
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
28 |
54 |
76 |
102 |
133 |
154 |
i=2 |
|
– |
26 |
52 |
80 |
106 |
127 |
i=3 |
|
– |
– |
27 |
50 |
78 |
99 |
i=4 |
|
– |
– |
– |
26 |
52 |
73 |
i=5 |
|
– |
– |
– |
– |
27 |
49 |
i=6 |
|
– |
– |
– |
– |
– |
26 |
|
|
|
|
|
|
236 |
|
Вариант 6 |
|
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
35 |
64 |
97 |
125 |
157 |
190 |
i=2 |
|
– |
31 |
62 |
93 |
124 |
154 |
i=3 |
|
– |
– |
32 |
62 |
92 |
125 |
i=4 |
|
– |
– |
– |
31 |
65 |
94 |
i=5 |
|
– |
– |
– |
– |
32 |
68 |
i=6 |
|
– |
– |
– |
– |
– |
35 |
Вариант 7 |
|
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
41 |
77 |
117 |
154 |
191 |
233 |
i=2 |
|
– |
38 |
75 |
114 |
152 |
190 |
i=3 |
|
– |
– |
37 |
74 |
113 |
154 |
i=4 |
|
– |
– |
– |
38 |
75 |
116 |
i=5 |
|
– |
– |
– |
– |
39 |
79 |
i=6 |
|
– |
– |
– |
– |
– |
42 |
Вариант 8 |
|
|
|
|
|
|
|
Cij |
|
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
|
i=1 |
|
35 |
68 |
101 |
129 |
165 |
203 |
i=2 |
|
– |
33 |
66 |
99 |
133 |
164 |
i=3 |
|
– |
– |
32 |
64 |
98 |
133 |
i=4 |
|
– |
– |
– |
33 |
65 |
100 |
i=5 |
|
– |
– |
– |
– |
34 |
68 |
i=6 |
|
– |
– |
– |
– |
– |
37 |
Вариант 9
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
49 |
99 |
146 |
197 |
245 |
295 |
i=2 |
– |
50 |
96 |
145 |
198 |
245 |
i=3 |
– |
– |
49 |
95 |
147 |
188 |
i=4 |
– |
– |
– |
49 |
98 |
147 |
i=5 |
– |
– |
– |
– |
51 |
100 |
i=6 |
– |
– |
– |
– |
– |
51 |
Вариант 10 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
47 |
99 |
148 |
201 |
250 |
304 |
i=2 |
– |
52 |
100 |
152 |
206 |
257 |
i=3 |
– |
– |
50 |
99 |
154 |
207 |
i=4 |
– |
– |
– |
51 |
102 |
154 |
i=5 |
– |
– |
– |
– |
53 |
104 |
i=6 |
– |
– |
– |
– |
– |
52 |
|
|
|
|
|
237 |
|
Вариант 11 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
28 |
53 |
76 |
98 |
128 |
149 |
i=2 |
– |
25 |
50 |
77 |
102 |
123 |
i=3 |
– |
– |
26 |
48 |
75 |
96 |
i=4 |
– |
– |
– |
25 |
50 |
71 |
i=5 |
– |
– |
– |
– |
26 |
48 |
i=6 |
– |
– |
– |
– |
– |
26 |
Вариант 12 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
43 |
83 |
127 |
166 |
209 |
253 |
i=2 |
– |
42 |
84 |
126 |
168 |
209 |
i=3 |
– |
– |
41 |
82 |
125 |
169 |
i=4 |
– |
– |
– |
42 |
83 |
127 |
i=5 |
– |
– |
– |
– |
43 |
86 |
i=6 |
– |
– |
– |
– |
– |
46 |
Вариант 13 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
37 |
70 |
102 |
134 |
173 |
205 |
i=2 |
– |
34 |
68 |
104 |
138 |
170 |
i=3 |
– |
– |
35 |
66 |
102 |
134 |
i=4 |
– |
– |
– |
34 |
68 |
103 |
i=5 |
– |
– |
– |
– |
35 |
68 |
i=6 |
– |
– |
– |
– |
– |
37 |
Вариант 14 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
41 |
75 |
108 |
141 |
181 |
216 |
i=2 |
– |
35 |
70 |
107 |
142 |
177 |
i=3 |
– |
– |
36 |
68 |
105 |
140 |
i=4 |
– |
– |
– |
35 |
70 |
105 |
i=5 |
– |
– |
– |
– |
36 |
72 |
i=6 |
– |
– |
– |
– |
– |
40 |
Вариант 15 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
49 |
93 |
141 |
184 |
231 |
282 |
i=2 |
– |
46 |
92 |
138 |
184 |
232 |
i=3 |
– |
– |
45 |
90 |
137 |
188 |
i=4 |
– |
– |
– |
46 |
91 |
142 |
i=5 |
– |
– |
– |
– |
47 |
97 |
i=6 |
– |
– |
– |
– |
– |
53 |
|
|
|
|
|
238 |
|
Вариант 16 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
38 |
70 |
101 |
132 |
171 |
203 |
i=2 |
– |
33 |
66 |
101 |
134 |
167 |
i=3 |
– |
– |
34 |
64 |
99 |
132 |
i=4 |
– |
– |
– |
33 |
66 |
99 |
i=5 |
– |
– |
– |
– |
34 |
68 |
i=6 |
– |
– |
– |
– |
– |
38 |
Вариант 17 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
50 |
95 |
144 |
188 |
236 |
287 |
i=2 |
– |
47 |
94 |
141 |
188 |
236 |
i=3 |
– |
– |
46 |
92 |
140 |
191 |
i=4 |
– |
– |
– |
47 |
93 |
144 |
i=5 |
– |
– |
– |
– |
48 |
98 |
i=6 |
– |
– |
– |
– |
– |
53 |
Вариант 18 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
43 |
81 |
118 |
155 |
199 |
238 |
i=2 |
– |
39 |
78 |
119 |
158 |
197 |
i=3 |
– |
– |
40 |
76 |
117 |
156 |
i=4 |
– |
– |
– |
39 |
78 |
117 |
i=5 |
– |
– |
– |
– |
40 |
80 |
i=6 |
– |
– |
– |
– |
– |
44 |
Вариант 19 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
50 |
101 |
148 |
201 |
249 |
303 |
i=2 |
– |
51 |
98 |
149 |
202 |
253 |
i=3 |
– |
– |
49 |
97 |
150 |
204 |
i=4 |
– |
– |
– |
50 |
100 |
152 |
i=5 |
– |
– |
– |
– |
52 |
104 |
i=6 |
– |
– |
– |
– |
– |
55 |
Вариант 20 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
35 |
64 |
97 |
125 |
157 |
188 |
i=2 |
– |
31 |
62 |
93 |
124 |
154 |
i=3 |
– |
– |
30 |
60 |
92 |
125 |
i=4 |
– |
– |
– |
31 |
61 |
94 |
i=5 |
– |
– |
– |
– |
32 |
64 |
i=6 |
– |
– |
– |
– |
– |
35 |
|
|
|
|
|
239 |
|
Вариант 21 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
41 |
78 |
114 |
150 |
193 |
230 |
i=2 |
– |
38 |
76 |
116 |
154 |
191 |
i=3 |
– |
– |
39 |
73 |
114 |
151 |
i=4 |
– |
– |
– |
38 |
76 |
113 |
i=5 |
– |
– |
– |
– |
39 |
77 |
i=6 |
– |
– |
– |
– |
– |
42 |
Вариант 22 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
40 |
71 |
108 |
136 |
170 |
205 |
i=2 |
– |
33 |
66 |
99 |
132 |
164 |
i=3 |
– |
– |
32 |
64 |
98 |
133 |
i=4 |
– |
– |
– |
33 |
65 |
100 |
i=5 |
– |
– |
– |
– |
34 |
68 |
i=6 |
– |
– |
– |
– |
– |
37 |
Вариант 23 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
27 |
50 |
72 |
94 |
123 |
143 |
i=2 |
– |
24 |
48 |
74 |
98 |
118 |
i=3 |
– |
– |
25 |
46 |
72 |
92 |
i=4 |
– |
– |
– |
24 |
48 |
68 |
i=5 |
– |
– |
– |
– |
25 |
46 |
i=6 |
– |
– |
– |
– |
– |
25 |
Вариант |
24 |
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
38 |
68 |
102 |
131 |
164 |
198 |
i=2 |
– |
32 |
64 |
96 |
128 |
159 |
i=3 |
– |
– |
31 |
62 |
95 |
129 |
i=4 |
– |
– |
– |
32 |
63 |
97 |
i=5 |
– |
– |
– |
– |
33 |
66 |
i=6 |
– |
– |
– |
– |
– |
36 |
Вариант 25 |
|
|
|
|
|
|
Cij |
j=2 |
j=3 |
j=4 |
j=5 |
j=6 |
j=7 |
|
|
|
|
|
|
|
i=1 |
43 |
82 |
120 |
158 |
203 |
240 |
i=2 |
– |
40 |
80 |
122 |
162 |
199 |
i=3 |
– |
– |
41 |
78 |
120 |
157 |
i=4 |
– |
– |
– |
40 |
80 |
117 |
i=5 |
– |
– |
– |
– |
41 |
79 |
i=6 |
– |
– |
– |
– |
– |
41 |