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Service Deployment in Large Scale Network. Yung-Mu Chen, Wei-Jr Yin, Wei-Hua Chen, and Yu-An Chen [email protected] Internet System Measurement and Analysis Team. Outline. Introduction Algorithm Experiment environment Simulation Plan Problem Future work. Introduction.

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Service deployment in large scale network

Service Deployment in Large Scale Network

Yung-Mu Chen, Wei-Jr Yin, Wei-Hua Chen, and Yu-An Chen

[email protected]

Internet System Measurement and Analysis Team


Outline
Outline

  • Introduction

  • Algorithm

  • Experiment environment

  • Simulation Plan

  • Problem

  • Future work


Introduction
Introduction

  • Finding an optimal deployment in a large scale computer network is a NP-Hard Problem.

  • Using heuristic algorithm can find a feasible solution.

How to Assign the task graph

?

Task

Internet


Algorithm step
Algorithm Step

Partition

Group map

Fail

CSP

Fail

Success



Partition use metis1
Partition - use Metis

0

Dst

2

1

Src

Topology


Partition use metis2

2

1

3

S

5

4

6

7

11

8

9

10

12

D

13

14

Partition - use Metis

Y

X

Z

Task Graph


Group mapping
Group mapping

  • 先將具有source node或 destination node 的 group做相對應的 mapping

  • 分別以 task graph 和 topology graph 兩圖具有source node 的 group 當作起點做 BFS,依照拜訪的順序,分別做 mapping


Group mapping1
Group mapping

BFS

2(dst)

0

X(src)

Y

BFS

1(src)

Z(dst)

Topology group

Task group


Built Level

build level : we will build level in the every group

there is a source of group to be needed.

4

Src.

3

3

0

1

1

2

4

3

3

2

2

4

1

3

0

Src.

In the topology use the source

to build level by BFS.

In the task graph use the source

to build level by BFS.

Topology

Task


Merge level
Merge Level

Merge level :

by a rule to make the topology and the task graph’s level

to be the same

y

Topology graph

definition :

k

Task graph

The graph group total numbers

Φ

The graph node total numbers

¥

The graph total level number of group

Gn

the group of graph , n = 0 ~ Ω- 1

Nn

n = 0 ~Φ - 1

the node of graph ,

Ln

n = 0 ~ ¥ - 1

the level of graph group ,

Φn

the node total numbers of the level


rule:

By group mapping we will allocate task group α to topology groupβ

If

¥y >

¥k

Gyβ

¥y =

¥k

Merge

Until

If

¥k >

¥y

Gkα

¥y =

¥k

Merge

Until


Gx

Merge

Ln

Φn

Choose the which have the min

L0 has been choose

If

L1

L0

Add nodes of into

Gx

Adjust level of

L¥ - 1 has been choose

If

L¥ - 1

L¥ - 2

Add nodes of into

Gx

Adjust level of

else

Li

Lj

Φn

Choose the near which have the min

Li

Lj

Add nodes of into

Gx

Adjust level of


Example:

Topology will be merged

Level 0 :

Level 1 :

Level 2 :

Level 0 :

Level 1 :

Level 2 :

Level 3 :

Level 4 :

Level 0 :

Level 1 :

Level 2 :

Level 3 :

merge level 0 and level 1

merge level 0 and level 1

done


CSP

definition :

Cy

The cpu capacity of the topology node

Ck

The cpu consumption of the task node

Dy

The disk capacity of the topology node

Dk

The disk consumption of the task node


node allocating : we will allocate the task node to topology node by a rule.

rule:

After mergelevel we will allocate nodes of task to nodes of topology

with the same level in and

Gkx

Gyx

Li

Gkx

Gyx

for all of and

Lki

Lyi

Ni

for all of and

Cy >

Ck and

Dy >

Dk

If

Allocate

else

Nyi

Check next

Nyi

Li

If all of doesn’t match

Multiply allocate


Example :

task

topology

Level 0 :

Level 1 :

Level 2 :

path allocating : after node allocating we will allocate task path on the

topology by Dijkstra algorithm with checking bandwidth.


Experiment environment
Experiment environment

  • Pentium !!! 1GHz ,RAM 512 MB

  • Platform: Debian 3.0

  • C language

    • Implement a timer

    • Total time:10800 sec

    • Time unit: 0.000001 sec


Task graph file format

S

2

0

1

3

4

6

7

5

11

10

8

9

12

13

15

14

D

Task Graph File Format

Node Edge metis constraint Group

0

1

2

3

GroupID CPU Disk [nodeID delay BW]

15


Topology file format
Topology File Format

Node Edge

NodeID1 NodeID2 Delay


Request file format
Request File Format

EventTime Src Dst HoldTime


Simulation
Simulation

  • Physical topology

    • capacity: node - CPU 100%, Disk 100%

      link - BW 100%, delay(by time or hop count)

  • Task graph

    • consumption: node - CPU, Disk (by config file)

      link BW (by config file)






Simulation plan
Simulation plan

  • 預計要做的分析:

    • Request hold time

    • Disk / CPU / BW consumption

    • Topology graph (topology generator, ISP map )

    • Task graph (N = 2, 3… or D = 2, 3... )

    • number of group

    • 其他種方法


Problem
Problem

0

2

  • Metis problem : connectivity

1

0


Solution
Solution

  • Other Group map method:

    1. First each node is a group

    2. Random choose the smallest group.

9

9

1

1

8

8

7

7

6

6

4

4

5

5

3

3

2

2

0

0

(b)

(a)


Solution1
Solution

3. Then choose the smaller group which it connect to

4. Repeat the step 2 until reach your goal. (group number)

9

9

1

1

8

8

7

7

6

6

4

4

5

5

3

3

2

2

0

0

(b)

(c)


Solution2
Solution

9

9

1

1

8

8

7

7

6

6

4

4

5

5

3

3

2

2

0

0

(f)

(e)


Problem level assignment
Problem – Level assignment

4

2

3

5

2

4

Dst

2

4

5

1

3

3

1

5

2

2

1

3

2

0

2

2

3

3

3

random choose a node with

upperlink to be the src of group ?

4


Problem solution 1

Grouping according to cut edge

4

2

3

5

2

4

Dst

2

4

5

1

3

3

1

5

2

2

1

3

2

0

2

2

3

3

3

4


Problem solution 2

Built level according to cut edge

2

2

Dst

1

3

3

2

0


Future work
Future work

  • Group method problem

  • Performance improvement

  • Simulation graph

  • Experiment report


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