What Is Greedy Technique
! " # $" % "
' ( )*
& % '
" '
- , - ( ) + , - ( )
- , ( ) / ( -)
- "
2 , & , (
) , 1 -
- / / ,
'
- 1
3
2 '
- "
- "
5
- " 6
1
5 " - 7" 6
1 - 7" 6 5 -
1
5
- " (
) - ." ! ( ) - - 3" !
- 4" !
/- 9 ( ")
- ! / <
- " : >" - -
- , , - - -
- 5 ->
- ( ) &q>! & <
- (
5 )
- <
- " 5- "
- = 5-
4 > * 74 -
9
9
- .7 .7
- .7 @ A A B A (.7 - ) .7 @ 4 A 4 A 4 A 4 A > A A (; - ) .7 @ > A > A > A A (4 - ) B * .7 @ 74 A 4 A A ( 3 - )
2
- "
6 - * -
- 4 > 74" 7"
6 * -
- " ." ! - * -
- " 3" ! -*
- -
" 4" ! - * 0 - - "- , 5- 5 ( ) D B E"
7
- /
- @ D B E
@
7 @ > 0 - - 0 -
" , -
- ,
" -
- &
n ∑ x
- , @ ( ) =
i
1 i n
- = ∑ d x A i =
i i
1
2
2 2 '
- .7
- 4 >
- * +
74 ( @ 74)
- !* +
- !*
4 + 4 ( ( @ 74 A 4 @ 74 A 4
@ .>)
- 7 ( @
- "*
74A4A A @ .7)
- / * F
@ 3 (
G) HI J
2
2 '
- HI
- :
@ D B E >
7
- 7 - " - >#( ) -
- $ - $ &( ⋅ 7 )"
- '
" -
#( )" - + -
2 K & ' 2 2 ' ( ) : * 4 3 .
@ ;" - + 9
- /
- ; @ 4 A + ; @ 4 A A A ( . - ( . - ) ) -
- / * ; @ 3 A . ( 7 - )
( ) : * > ;
- 9 - * 4
- /
- 4 @ > A A A A A (8 - )
- / * 4 @ ; A ; A (. - )
' * / $ ( ) - -
( )
- "
- " : - - " :
n
- % @ (
)
∑ = i
1
:
- 5 - "
- , @ 4 @ > @ .
7 .
- 7 .* 4 A (4 A >) A (4 A > A . ) @ .? 7 .* 4 A (4 A >) A (4 A > A . ) @ .? . 7* 4 A (4 A .) A (4 A . A >) @ .
7 .* > A ( > A 4) A ( > A 4 A .) @ 3. 7 . * > A ( > A .) A ( > A . A 4) @ 3
← ← ←
! " ! # ! # $ # ! # $ # % & "' ←
. 7 * . A (. A >) A (. A > A 4) @ .3
& ' ( $ )
9
$
- F -
G
- "
- "
#( ) -
$ - - -
- &(
G)
#( )"
& ' ' - --
- " >
- " F - -
'
- " :
( !) ) F - ≤
7
≤ B ≤ -
- * @ * ≤
- * ≤ - % @
∑ ∑ = = n i i j
i
j
t1
1
- * "
- +, - &
- < 0 -
." / 0 - -
- ( )
( ) " - /
- /
5 - 5 - @ D B *
E
7
- @ 0 - 0 - - 5 @ > 0 - 0 - - 5 - -- "
- , 0 -
- " / ->0 -
- &q
- 0 -
& ' -
0 -
- " /
0 -
- " - "
.
- '
0 -
- " /
- 0 - - - -- -
"
/
- '
0 -
- L " /
- 0 - - "
2
3
- - >L
@ 3"
@ 8M @ 7
@ 4M @ 47 @ >M @ >M @ 4> @ 4> .
@ 4M @ >
3 :
. @ 8
/
10
50
5
1
1
1
4
5
2
3
1 Total bobot
15
16
15
15 Total keuntungan
65
37
65
10
1
Properti objek Greedy by Solusi Optimal
6
i w i p i p i
/w i profit weight density
1
6
12
2
1
1
12
1
2
1
2
5
15
3
1
1
65
2
4 >L -
8 0 -* @ >>M @ 3> @ 4>M @ 4>M @ .4 @ .4
7
7 @ 34M @ ? . .
@ 7>M @ 3
3
3 @ >M @ >
4
4 @ 4M @ 7
8
8 :
. @ >>
/
1
51
34
40
95 Total keuntungan
85
80
1 Total bobot 100
1
5 2 0,4
6
1
1
10 10 1,0
5
1
Properti objek Greedy by Solusi Optimal
20 4 0,2
4
1
1
45 18 0,4
3
1
1
50 35 0,7
2
1
1 100 40 0,4
/w i profit weight density
i w i p i p i
53
: +, - '
- 0 - - - " /
@ (> > > >)
- @ 4." >
- >L - "<
/ >L - > ≤
≤
- @
7 B
- @
∑ n i i x p
- ( ) > ≤ ≤ @
7 B = i i i
n i i i
≤ ∑ =
1
( $ )
& - > ≤ ≤- 5 " ' -
( )
$
' , :
- 0 - - -- - "
2
8 @ ." @ ?M @ 74
7 @ 4M @ 73 .
@ >M @ 4 : . @ 7>
/
Properti objek Greedy by
i w i p i p i
/w
i profit weight density1
18 25 1,4
1
2
15 24 1,6 2/15 2/3
1
3
10 15 1,5 1 1/2 Total bobot
20
20
20 Total keuntungan 28,2 31,0 31,5
- '
- 0 - ,
- ( )" / / @ (> L7) - -
. 4" -
- 0 -
- 0 - - -
, -
- 0 - 0 -
"
:
- - - 0 -
- , -
- " 6 - - " 6 - ."7 - "
( !)") F - L ≥
7 L
7
≥ """ ≥ L
- 0 - - ,
- "