Content uploaded by Yixin Hu
Author content
All content in this area was uploaded by Yixin Hu on Sep 07, 2021
Content may be subject to copyright.
Abstract
!
"
#
#"
$%
"
"
different period, characters of different
repair type were provided by our"
Keywords- Transshipment problem; Allocation problem; Supply-
chain; Integer Programing; Excel solver; Genetic algorithm.
% %/01&%1/
2* ** +
* * 3
++**4++
5 +
+ # + *4+ +*
* * +
+ #**1 !+6
+**
+7 * 7%*
47+4*
* *5 *
3+ *+ *5
+ 5 * + 5
+ 5 5
8*77#
* *+
7 * + 7 5
5 * ! *+
++++
*
* 7
*+7**+
+9"*+
+ 7* *++ *
+ +* + 2
1 :;(;< + )+ + )# :;(=<
++4++*+
+ + +* 7# 7*
*+ + & # +
* + 32
7+*+*
74++ 7* + +
+*++
+*)++)#:;(=<
)++ 7 +
5*5+ +#
74 + ++
9:;(;(<+%"+++
+>++:;(;(<)#
8*+ * 7* * +++
+)8+*
*+ 7 *5 *** +
**10)?+7$;((7
+*++)4
:;(;(< 7 *++ + + %61 &"6@
15 !+ ;A )
87+
* 7* , +
!*7*+7
*&,#7*
3 * + * *
3+3+*+
&)!*&+
B7*3+*1
B %+ % +
&, & C* $ ?+ +
**7**++ 7+
+ "+* 1 &:"<
+D 7 EC !,
#7 +* C* +*+
+ + :+< **
* ++ 7
/ ** * + 3
* ++*,7
*#
*+!1B 0
#+***
* + * * +*
+*C**+ + 7+
* 7 7
+*+**3
+ + 7
+ &3 7 3
7+ " 7 *+ 7 + *
* 7 **
& + 1 3 *
:1<7 +8
+ 3D*
&, )# 0 !* ++
& 3D* 7
7+*3+*
)1B %+**
;(;( +7 3 * 8 7
* 3** ++
+ *
*+7E*, $?
* 8 * 3 +
*+*+
+*7
! ** * *
* * 7
*?+***++
+7&
& 5 ++ F
&*'++
++ +7 7#
5+***
+*7*
%% )!!"%1/!
*'+'
+7G;':)D2D;+
&D'<8GHI-:*+C<
)2+&
++**;'**
&*
*+7)
2+&
&*;(;(
C;(;+&1$%4=7
#+;(;(*
!*+7*++
**7:)+<+
+77
+++:
**<
"*+
;+'7
*+
7*HI+-
*++
***8#++
7**++*++
7
)775
+3+*
7**+++
**
7&7+5+
++674&&:6&6<
*+++
!!**
7++JJ
&++*+7
**#
)2+&*+&+
IIK+7*;((+
;LIK7*((
%%% 1161
* + ++ 5
& * +
:%"< *+ +
**'+
** +7
+7* &:7L<
?*+*+
* 7 + 5 7#
+5
* C *+ 7+ +
++7+
++ * 5 7
*
:<+
+**+&*+**
7* 7
+ +
++7 IIK +
;LIK 3+ +
& :7< +
* * 7+ +
7* 7 + *+
7 * ++
**7**++
++:;<+**
*:'<)++*7
7++3
7*#*7
:H<+*
:<+
8***+*
*+*
+ +
+*F
7F
8#G) #+++8
*8#G& #++8
#G0* #
# G " * # +
7
#G? #++
7# G ? #
HI
& '
(
)*+,- .)+,*- /
) HM IN OL-A I(
) HM +* IN O-A I(
) IM +* IN O'-' (I
) IM +* IN O;-I (I
) IM +* IN O(H (I
) HM (N OH( ;I
) IM (N OA=L L-
2 IM +* (N O-LA L-
2 HM (N OH;A ;I
2 IM +* (N OI'( L-
2 IM 2 IN OI=; (I
2 IM IN OI=; (I
2 LM IN O(H= =(
2 IM (N OI'( L-
& LM +* (N O;= HL
& IM +* (N OII L-
P P P P P P P
()+,*01- )+*- )*01- )+,*01-
) O=' L'LH;AIL O(;( HLH;AILH
2 O-;A =';AILH' O(;( A-ILH;A-
& OA'I P I P O(;( ;;'
F*++*+7 )
2+&
& * )
!
++
H L- -A ;( -H
I -= -- ;A -'
- H A ' 'I
;F+++*
'F**+
1 &D ? &D:!<
!:)< & O(- L'L L=;
& &H:)< O( L'L A(L
& &H:2< O( ='' (;-'
& &H:&< O((A I A=;
!;:2< & O(; ='' =-
& &I:)< O( L'L A(L
1 &*
):< ;((
; 2:;< ;((
' &:'< ((
7L )2&:;'< I((
& &I:2< O((= ='' A'=L
& &I:&< O(( I I
!':&< & O((= I (('I
& &-:)< O(; L'L AAHH
& &-:2< O(L ='' IA-
& &-:&< O(' I HH=I
HF**+
:<)
*+*#
%"++7*
&+**
**)
+&*7++
+*+*+
*+*'*
7+'**CI
*+++++
I
C&+
*'+'
+7G;'L:;'+
7L<+8GHI-L:*I-L+
7L<)*+#G
;+': )2+&<
)*3+7
++7
+*:;<
?++
**7+?
7
++%++*
+;
+'7
%$ %"6/)%1/
:<C*+
,23
2
7#+
+8 * *7
*Q
2
7*:)2+&<+
++5*
421
G'+L
8G*'+L
#G'
52$6
5 * 57* *+*
*+*
5*:5<7F
7F
8#G) #+++8
*8#G& #++8
#G0* #
# G " * # +
7
#G? #++
7# G ? #
HI
72$
2*+**
+**7
++
@LR@L;R@L'R@HR@H;R@H'R@IR
@I;R@I'R@-R@-;R@-'S;((P
:!*<
@;LR@;L;R@;L'R@;HR@;H;R@;H'R@;IR@;I;R@;I'R@;-R@;-;R
@;-'S;((
:!;*<
@'LR@'L;R@'L'R@'HR@'H;R@'H'R@'IR@'I;R@'I'R@'-R@'-;R
@'-'S((P
:!'*<
@LLR@LL;R@LL'R@LHR@LH;R@LH'R@LIR@LI;R@LI'R@L-R@L-;R
@L-'SI((P
:?L*<P
12**
++'*,
3)33
'*,3
233;
'*,3&3
3'
@LR@;LR@'LR@LLR@L;R@;L;R@'L;R@LL;
R@L;R@;L;R@'L;R@LL;G'-;:?L++*<
@HR@;HR@'HR@LHR@H;R@;H;R@'H;R@LH;R
@H'R@;H'R@'H'R@LH'G-H:&H++*<
@IR@;IR@'IR@LIR@I;R@;I;R@'I;R@LI;R
@I;R@;I;R@'I;R@LI;G-':&I++*<
@-R@;-R@'-R@L-R@-;R@;-;R@'-;R@L-;
R@-'R@;-'R@'-'R@L-'G'I:&-++*<
@LHR@LIR@L-4@LS(:)
)<
@LH;R@LI;R@L-;4@;L;S(:2
);<
@LH'R@LI'R@L-'4@'L'S(:&
)'<
2#
+**
@L;G(T@L'G(: ++<
@;LG(T@;L'G(: ;++;<
@'LG(T@'L;G(: '++'<
2!*7
7*+*
@LLG(T@LL;G(T@LL'G(
)F
+*+*+
**7*HI*7+
7HI"*
*#+7
7*#+
7*
@L4====7SHI
@L;4====7;SHI
@L'4====7'SHI:C7<
@;L4====7;SHI
@;L;4====7;;SHI
@;L'4====7;'SHI:C;7<
@'L4====7'SHI
@'L;4====7';SHI
@'L'4====7''SHI:C'7<
(F/IIK
&+++
;LIK++
@LR@L;;R@L''R@;L;R@;L;;;R@;L';'R@'L'
R@'L;';R@'L'''U((
@LR@L;;R@L''R@;L;R@;L;;;R@;L';'R@'L'
R@'L;';R@'L'''S;((
82+*
*7
+F7+*+
++77+
*
#G(#
7#G(#
92+**
:<%*!
C;*!4%
C'Excel Solver-Constraints
CH*!4"
CI*!4";
:<%*
)+*!
*++7F
3++
++*77
C-**
*7
**+!OLII'A
2#*#
>'+!''75%)+
&+++?27++
+:0';G<*7
**+!O;I-((
*$'?';+@''3%+*+
)2+&7+*
**++7+*
7HI*7
**+!O--AH
1*
*7**+
!OH(('I;*+*
*+*
7+7+3 )+
+3 2)*
+**+7
4**?
++*8
*+++++
21*+
2&+*+(
%++7
*++:)&<7++
)++8*
*7+#G
+*7+*7
+*((*
++5
**+*
+*7+77*(
2*'+77
*7+77
+*'
++)7*7#7+(*
7
(8*
*7
77%"+*+
*+
%!&!!%1/
+*+*
* *++ *
** + ++ + **
++**++3
* * * +
* *
+ * + * *
+*+
;&*+5
&7#+5*
* 7# *
* 7# 7 + *+
8* * * ++
& +* 5* +
+#3*#+*+
7*&+
'5
" +*+ 7 *
5*)+
+ )# :;(=< + + *++
+* 7# * + #
5 * & +
++ * +* *
** *4* * *
* ?# 7 +*
* **% 7
:
&*+++
*#++
* *++ *
***+*
#7*
;&7++**
*+
* 7 + +
+ 7 + + *
*+*+*+7+
)#+7*
5 + 7+ * ++
+++!+++
4
'+**+
& * ;(;( C
;(;
*OA'I ++, #
*******+C
&+4= +* *+ **
+7 1 B %+"+ +
*++ &7****
+***+*
&1/&6!%1/
1 5 + + 8* 7
5 &, * : +
<***:)2&<3
++ * ++ 2
5*#+75
7 &, *
!&++++?
+ D* * * ++
3 * *** :7
5<+*&
*5+*7+
) + 7+ * 7#
57*7*&++
+ **+ +
*+*+7*+7
*++ ** 7
**+*+**
7 ? + 5 0
+++7
6"!+ 7
7
0C0/&!
VW )4 " ) )45 / 054405
%0" 7"+C+
CVXW)+!**;(;((:(<F'I(;
V;W 2 & ! ! *+ # 3
+ +*VXW & B %+
;(L(H:C2<FHI4II
V'W 1)C066*
5 25 F * 4
+VXW&Y*0;(;(I:;<
VHW >++) X+! N+ )/7+ C+
1 ! "VXW %
X&!**B;(;H:L<FI=4-I
VIW ) 1 )# /" ) + !4
2 & 2 " /VXW )* X
10*;(=(=:'<F;=4HI
V-W 0 C ! ) /7 + 1 !
" 6""VXW X *
0*;(A(:I<
VLW NX0&"+&
C !* " VXW %* ;('
H':;<FL(4A
VAW ) ) 0) + 15
!&&;(=
V=W ) ! 1 )+82 ) ) 4$* 4C*
) "F ) & &*4& 2 &
) + !4 VXW )* X 1
0*;(;((:I<F-'4L;