, ,
2.3 -
| 40- | 20- Open Top | |
| () | 12,035 | 5,888 |
| () | 2,35 | 2,345 |
| () | 2,393 | 2,365 |
| () | 32,5 | 30,48 |
| () | 3,17 | 2,250 |
| () | 28,8 | 28,23 |
| ' (3) | 32.0 |
, , , , 20- Open Top , 40- . , , 40- 20- Open Top, , .
, 20- Open Top 40- , , ` , - ..
:
R = r*q,
r1 1 40- ( , EXPRESS DELIVEIRING $ 3,6/., 22 .) .
r2 1 20- Open Top ( , EXPRESS DELIVEIRING $2,1/., 22 .) .
q ( 1 40-),
R1 = 3,6 * 22 = 79,2 $
R2 = 2,1 * 22 = 46,2 $
г 33$.
, :
- 40- 1, 47$ ;
- 20- Open Top 0,73$ .
:
R = r*q
R1 = 378 * 1,47 = 555,66 $
R2 = 378 * 0,73 = 275,94 $
, 20- Open Top , 40-. 279,72$ .
:
R = r*q,
r1 1 40- ( OTAL LINES JAPAN 102 $/.,
r2 1 20- Open Top ( OTAL LINES JAPAN 67 $/.,
q ,
R1 = 102 * 1 = 102 $
R2 = 67 * 1 = 67$
, 20- 40- 35$.
, 20- Open Top .
|
|
|
2.4 - 40- 20- Open Top
| 40- | 20- Open Top | |
| , $ | 79,2 | 46,2 |
| , $ | 555,66 | 275,94 |
| - , $ | ||
| , $ | 736,86 | 389,14 |
:
= + R+R/+R+R,
,
R ,
R/ - ,
R ,
R .
1 = 5171,04 + 634,86 + 223,2 + 646,38 + 12,70 = 6 688,18 $ 52836,62 . 1$ = 7,9
2 = 5171,04 + 322,14 + 188,2 + 646,38 + 12,70 = 6 340,46 $ 50089,634 . 1$ = 7,9
2.4, 40- 736,86$, 20- Open Top 389, 14$.
, Open Top 347,72$ , .
. 20- Open Top 1400$ 11060.
, . 
. 2.2.
, , - .
--.
:
3 : , , (m = 3) 3 : , , (n = 3).
(-), , . Xij - i- j- г:
.
y , .
m n
∑ai = ∑bj, (2.1)
i=1 j=1
m 3
∑ai = ∑ ai = 144+83+105= 332 .
i=1 i=1
n 3
∑bi = ∑ bi = 39+48+60= 147 .
j=1 j=1
m n
∑ai ˃ ∑bj, .
i=1 j=1
m n
bn+1 = ∑ai - ∑bj.
i=1 j=1
.(.2.5.)
2.5 - ij
| ³ | ||||
| 1. | 2. | 3. | 4. | |
| 1. | 11 | 12 | 13 | 14 |
| 2. | 21 | 22 | 23 | 24 |
| 3. | 31 | 32 | 33 | 34 |
.
m n
z= ∑ ∑ cij*xij min (2.2)
i=1 j=1
n
∑ xij = ai , (2.3)
|
|
|
j=1
(i = 1,m);
m
∑ xij = bj , (2.4)
i=1
(j=1,n);
xij≥0, (2.5)
(i = 1,m; j= 1,n),
xij - , i- j- , ;
ij - i- j- , (.2.6);
i- i- ;
bj - j- ;
ֳ (2.2) . (2.5) - ' , , . ʳ Xij :
m * n = 3 * 4 = 12.
ʳ : m + n - 1 = 3 +4-1 = 6.
ʳ : m + n = 3 +4 = 7.
2.6 - i- j-
| ³ | ||||
| 1. | 2. | 3. | 4. | |
| 1. | 2401 | 3258 | 3049 | 0 |
| 2. | 2172 | 2962 | 2508 | 0 |
| 3. | 2362 | 3160 | 3041 | 0 |
ֳ (2.2) :
Z=2401*11+325812+3049*13+0*14+2172*21+2962*22+2508*23+0*
24+2362*31+3160*32+ 3041*33+ 0*34 min.
:
(2.3) - . m = 3 .
(2.4) - . n = 4 .
m + n. .
(2.3):
11+12+13+14=144;
21+22+23+24=83;
31+32+33+34=105.
(2.4):
11+21+31=39;
12+22+32=48;
13+23+33=60;
14+24+34= 185.
䒺 (2.5):
11≥0; 12≥0; 13≥0; 14≥0;
21≥0; 22 ≥0; 23≥0; 24 ≥0;
31 ≥0; 32 ≥0; 33 ≥0; 34 ≥0
i=1,2,3; j= 1,2,3,4.
2.7 - ()
| ³ | - | (ai), . | ||||
| 1. | 2. | 3. | 4. | |||
 vj
ui
| ||||||
| 1. | ||||||
| 2. | ||||||
| 3. | ||||||
| (bj),. |
.
.
- , - . ij, , , ij i bj..
ij= min { ai,bj}.(2.6)
(2,1), 21 = 25983 - i- j- .
21 = min {a2, b1} = min {83,39} = 39.
. (2,3), 23 = 25083..
23= min {a2,b3}={44,60}=44.
(3,3), 33= 30415.
33= min {a3,b3}={105,16}=16.
̳ (3,2), 32=31600.
32= min {a3,b2}={89,48}=48.
(3,4),
34= min {a3,b4}={41,185}=41.
, (1,4). :
|
|
|
14= min {a1,b4}={144,144}=144.
, 2.3. 2.8.
2.8 -
| ³ | - | (ai), | ||||
| 1. | 2. | 3. | 4. | |||
| vj
ui
| ||||||
| 1. | ||||||
| 2. | ||||||
| 3. | ||||||
| (bj), |
, , .
14 = 144.; 21 = 39 .; 23 = 44.; 32 = 48.; 33 = 16.; 34 = 41.
z = 144 * 0 +39 * 2172 +44 * 2508 +48 * 3160 +3041 * 16 +41 * 0 = 84708 +110352 +151680 +48656 = 395396 -.
.
.
(.2.4.) ui (i = 1,2,3, m), vj (j = 1,2,3,4, n), , u3 = 0.
, u3 = 0. vj-ui = cij, (.2.9.).
2.9 -
| , | г | |
| - | - | u3=0. |
| (1.4) | V4-u1 =0 | u1 =0-0=0 |
| (2.1) | V1-u2 = 2172 | V1= 2172+533=2705 |
| (2.3) | V3-u2 =2508 | u2 =3041-2508=533 |
| (3.2) | V2-u3 = 3160 | V2 = 3160+0=3160 |
| (3.3) | V3-u3 = 3041 | V3 = 3041+0=3041 |
| (3.4) | V4-u3 = 0 | V4= 0+0=0 |
2.10.
2.10 - ,
| (ai), | ||||||
| 1. | 2. | 3. | 4. | |||
vj
ui
| ||||||
| 1. | ||||||
| 2. |
  -
|
 +
| ||||
| 3. |
+
| - | ||||
| (bj), |
. , vj-ui ≤ cij (.2.11.)
2.11 - vj-ui ≤ cij
| , | vj-ui ≤cij |
| (1.1) | V1-u1= 2705-0=2705>2401- |
| (1.2) | V2-u1 =3160-0=3160<3258- |
| (1.3) | V3-u1=3041-0=3041<3049- |
| (2.2) | V2-u2=3160-533=2626<2962- |
| (2.4) | V4-u2 =0-533=-533<0- |
| (3.1) | V3-u1=2705-0=2705>2362- |
( ) (1,1) (3.1), .
. . (3.1). (3.1) (2.1) (2.3) (3.3) 2.11. (θ), 2.8, ij - .
|
|
|
Θ= 
, (2.7)
σ- - .
Θ= 
.
2.8., 2.3., Θ ij + --.
2.12 - ,
| (ai), | ||||||
| 1. | 2. | 3. | 4. | |||
| vj
ui
| ||||||
| 1. | ||||||
| 2. |
  23
-
|
 +
| ||||
| 3. |
 16
+
| - | ||||
| (bj), |
. ³, u3 = 0. vj-ui = cij, (.2.13)
2.13 -
| , | г | |
| - | - | u3=0. |
| (1.4) | V4-u1 =0 | u1 =0-0=0 |
| (2.1) | V1-u2 = 2172 | U2= 2362-2172=189 |
| (2.3) | V3-u2 =2508 | V3 =2508+189=2697 |
| (3.1) | V1-u3 = 2362 | V1 = 23621+0=2362 |
| (3.2) | V2-u3 = 3160 | V2 = 3160+0=3160 |
| (3.4) | V4-u3 = 0 | V4= 0+0=0 |
2.8. . , vj-ui ≤ cij (.2.14.)
2.14 - vj-ui ≤ cij
| ³ , | vj-ui ≤cij |
| (1.1) | V1-u1= 2362-0=2362<2401- |
| (1.2) | V2-u1 =3160-0=3160<3258- |
| (1.3) | V3-u1=2697-0=2697<3049- |
| (2.2) | V2-u2=3160-189=22970>2962- |
| (2.4) | V4-u2 =0-189=-189<0- |
| (3.3) | V3-u1=2697-0=2697<3041- |
( ) (2.2), .
. . (2.2). (2.2) (3.2) (3.1) (2.1) 2.8. (θ), 2.14., ij - .
Θ= ,
σ- - .
Θ = min {(2.1), (3.2)} = min {23; 48} = 23.
2.11., ., Θ ij + --.
2.15 - ,
| (ai),. | ||||||
| 1. | 2. | 3. | 4. | |||
 vj
ui
| ||||||
| 1. | ||||||
| 2. | ||||||
| 3. | ||||||
| (bj),. |
. ³, u3 = 0. vj-ui = cij, (.2.16).
2.16. -
| , | г | |
| - | - | u3=0. |
| (1.4) | V4-u1 =0 | u1 =0-0=0 |
| (2.2) | V2-u2 = 2962 | U2= 3160-2962=198 |
| (2.3) | V3-u2 =2508 | V3 =2508+197=2705 |
| (3.1) | V1-u3 = 2362 | V1 = 2362+0=2362 |
| (3.2) | V2-u3 = 3160 | V2 = 3160+0=3160 |
| (3.4) | V4-u3 = 0 | V4= 0+0=0 |
2.11. . , vj-ui ≤ cij (.2.17.)
|
|
|
2.17 - vj-ui ≤ cij
| ³ , | vj-ui ≤cij |
| (1.1) | V1-u1= 2362-0=2362<2401- |
| (1.2) | V2-u1 =3160-0=3160<3258- |
| (1.3) | V3-u1=2697-0=2697<3049- |
| (2.1) | V1-u2=3160-198=2962=2962- |
| (2.4) | V4-u2 =0-189=-189<0- |
| (3.3) | V3-u1=2697-0=2697<3041- |
(.2.13.), (.2.15.), , . ³ :
14 = 144; 22 = 23; 23 = 60; 32 = 39; 33 = 25; 34 = 41.
z = 144 * 0 +23 * 2962 +60 * 2508 +39 * 2362 +3160 * 25 +41 * 0 = 68126 +97812 +92118 + 79000 = 337056-.
:
- 44 ;
- 48 ;
- 52 .
.
³ :
- 44 ;
- - 48 ;
- - 52 ;
-dz 23 ;
-dz 60 ;
- 39 ;
- -25 ;- -9 ;
- -12 ;
- - 20 .
, (D), (R) () :
D = d * N, (2.8)
d- 1 ();
d = Q * 1 * K, (2.9)
Q - , .;
1 - 1 3 , .;
- (1 .= 7.9 .).
d = 5171,04 .
N- () ;
R = * N, (2.10)
- , .
= D-R. (2.11)
:
- -:
D = 44 * 5171,04 = 227525,76 ;
R = 2372 * 44 = 104368;
= 227525,76 -104368 = 123157,76 ;
- -:
D = 48 * 5171,04 = 248209,92 ;
R = 2400 * 48 = 115200;
= 248209,92-115200 = 133009,92 ;
--:
D = 52 * 5171,04 = 268895,64 ;
R = 2410 * 52 = 125320;
= 268895,64-125320 = 143575,64 ;
- -:
D = 23 * 5171,04 = 118933,92 ;
R = 2962 * 23 = 68126;
= 118933,92-68126 = 50807,92 ;
-:
D = 60 * 5171,04 = 310262,4 ;
R = 2508 * 60 = 150480;
= 310262,4-150480 = 159782,4 ;
-:
D = 39 * 5171,04 = 201670,56 ;
R = 2362 * 39 = 92118;
= 201670,56-92118 = 109552,56 ;
-:
D = 25 * 5171,04 = 129276;
R = 3160 * 25 = 79000;
= 129276-79000 = 50276;
-:
D = 9 * 5171,04 = 46539,36 ;
R = 2350 * 9 = 21150;
= 46539,36-21150 = 25389,86 ;
-:
D = 12 * 5171,04 = 62052,72 ;
R = 2390 * 12 = 28680;
= 62052,72-28680 = 33372,72 ;
-:
D = 20 * 5171,04 = 103420,8 ;
R = 2477 * 20 = 49540;
= 103420,8-495520 = 53880,8 ;
:
- , 10 : (D), (R) ().
: -, 310262,4 , -150480 .
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