AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.
-
date post
19-Dec-2015 -
Category
Documents
-
view
216 -
download
2
Transcript of AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.
![Page 1: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/1.jpg)
AsynchDP Example
![Page 2: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/2.jpg)
a
b
c
d
s t1
1
1 1
1
1
3
15
4
23
1
1 1
AsynchDP: initial graph
![Page 3: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/3.jpg)
a
b
c
d
s t1
1
1 1
1
0
3
15
4
23
1
1 1
AsynchDP: iteration 1
![Page 4: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/4.jpg)
a
b
c
d
s t1
1
1 3
1
0
3
15
4
23
1
1 1
AsynchDP: iteration 2
![Page 5: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/5.jpg)
a
b
c
d
s t1
6
5 2
1
0
3
15
4
23
1
1 1
AsynchDP: iteration 3
![Page 6: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/6.jpg)
a
b
c
d
s t
7
6
4 2
1
0
3
15
4
23
1
1 1
AsynchDP: iteration 4
![Page 7: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/7.jpg)
a
b
c
d
s t
7
5
4 2
1
0
3
15
4
23
1
1 1
AsynchDP: iteration 5
![Page 8: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/8.jpg)
a
b
c
d
s t
6
5
4 2
1
0
3
15
4
23
1
1 1
AsynchDP: iteration 6
![Page 9: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/9.jpg)
a
b
c
d
s t
6
5
4 2
1
0
3
15
4
23
1
1 1
AsynchDP: shortest path
![Page 10: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/10.jpg)
LRTA* Example
![Page 11: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/11.jpg)
LRTA* - initialization
a
b
c
d
s t
0
0
0 0
0
0
2
23
2
35
1
2 3
![Page 12: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/12.jpg)
LRTA* - trial 1
a
b
c
d
s t
2
2
2 0
1
0
2
23
2
35
1
2 3
![Page 13: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/13.jpg)
LRTA* - trial 2
a
b
c
d
s t
4
4
2 0
1
0
2
23
2
35
1
2 3
![Page 14: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/14.jpg)
LRTA* - trial 3
a
b
c
d
s t
4
4
3 4
1
0
2
23
2
35
1
2 3
![Page 15: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/15.jpg)
LRTA* - trial 4
a
b
c
d
s t
5
4
3 4
1
0
2
23
2
35
1
2 3
![Page 16: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/16.jpg)
LRTA* - trial 5
a
b
c
d
s t
5
4
3 4
1
0
2
23
2
35
1
2 3
![Page 17: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/17.jpg)
LRTA*(2) Example
![Page 18: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/18.jpg)
LRTA*(2) - initialization
a
b
c
d
s t
0
0
0 0
0
0
2
23
2
35
1
2 3
![Page 19: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/19.jpg)
LRTA*(2) – trial 1
a
b
c
d
s t
2
2
2 0
1
0
2
23
2
35
1
2 3
![Page 20: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/20.jpg)
LRTA*(2) – trial 2
a
b
c
d
s t
4
4
3 4
1
0
2
23
2
35
1
2 3
![Page 21: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/21.jpg)
LRTA*(2) – trial 3
a
b
c
d
s t
5
4
3 4
1
0
2
23
2
35
1
2 3
![Page 22: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/22.jpg)
LRTA*(2) – trial 4
a
b
c
d
s t
5
4
3 4
1
0
2
23
2
35
1
2 3
![Page 23: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/23.jpg)
Naive Assignment problem example #1
![Page 24: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/24.jpg)
Naive algorithm
(1,x1), (2,x2), (3,x3)2x111403
(2,x2), (3,x3)1x330402
(2,x2)2x220201
(1,x2)2x210000
current assignment
bid incr.
preferred object
bidder
p3
p2
p1
round
![Page 25: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/25.jpg)
Naive Assignment Problemexample #2
![Page 26: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/26.jpg)
(2,x1), (1,x2)0x120004
(3,x1), (1,x2)0x210003
(3,x1), (2,x2)0x130002
(1,x1), (2,x2)0x220001
(1,x1)0x110000
current assignment
bid incr.
preferred object
bidder
p3
p2
p1
round
![Page 27: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/27.jpg)
Improved Assignment Problem example #3
![Page 28: AsynchDP Example. a b c d s t 1 1 1 1 1 1 3 1 5 4 2 3 1 11 AsynchDP: initial graph.](https://reader035.fdocuments.us/reader035/viewer/2022062516/56649d395503460f94a13509/html5/thumbnails/28.jpg)
(2,x1), (1,x2)2x1204
(3,x1), (1,x2)2x2103
(3,x1), (2,x2)2x1302
(1,x1), (2,x2)2x2201
(1,x1)x11000
current assignment
bid incr.
preferred object
bidder
p3
p2
p1
round