application-aware data collection in wireless sensor networks€¦ · application-aware data...

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Application-Aware Data Collection in Wireless Sensor Networks

Fang Xiaolin, Gao Hong, Li JianzhongHarbin Institute of Technology

Li YingshuGeorgia State University

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Outline

Existing workOur problemAn approximation algorithmA special instanceSimulations

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Existing work

Multi-application based data collectionData sharing [9]Sample as less data as possible

Data point

Existing work studies data point sampling

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Our problem

Multi-application based data collectionSample data for a continuous interval

Acoustic, video information [10], [11] Vibration measurement [12], [13], [14]Speed information [15]

Sample an interval

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Problem definition

Given a set of n tasks T , each task Tiis denoted as Ti = <bi,ei,li>

bi: beginning timeei: end timeli: data sampling interval length

Find a continuous sub-interval Ii for each task Ti so that

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Problem complexity

Non-linear non-convex optimization problem

Nonlinear integer programming problem, If bi,ei,li are regarded as integers

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Greedy algorithm overview

1. Sort by end times 2. Find task set P overlap with first 3. Find solution for P, and Remove 4. Back to step 2

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Greedy algorithm overview

1. Sort by end times 2. Find task set P overlap with first 3. Find solution for P, and Remove 4. Back to step 2

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Greedy algorithm overview

1. Sort by end times 2. Find task set P overlap with first 3. Find solution for P, and Remove 4. Back to step 2

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Greedy algorithm overview

1. Sort by end times 2. Find task set P overlap with first 3. Find solution for P, and Remove 4. Back to step 2

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Find solution for P

Compute [s,e] for the tasks overlap with each other

s=5 e=14

[s,e]=[5,14]

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Approximation algorithm analysis

Approximation ratio is 2Time complexity is

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A special instance

General problem Ti = <bi,ei,li>Special instance Ti = <bi,ei,l>The data lengths are the same

Can be solved in O(n2)

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Algorithm overview

1. Sort by the end times 2. Remove tasks cover other tasks 3. Dynamic programming

Does not affect the result

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Algorithm overview

1. Sort by the end times 2. Remove tasks cover other tasks 3. Dynamic programming

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Algorithm overview

1. Sort by the end times 2. Remove tasks cover other tasks 3. Dynamic programming

Computing x(i,j), then x(1,n) is the result[3,7]

[5,9][12,16]

x(i,j) [s,e]x(1,1) [3,7]x(2,2) [5,9]x(3,3) [12,16]x(1,2) [3,8]x(2,3) [5,10]

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Algorithm overview

1. Sort by the end times 2. Remove tasks cover other tasks 3. Dynamic programming

Computing x(i,j), then x(1,n) is the result[3,8]

x(i,j) [s,e]x(1,1) [3,7]x(2,2) [5,9]x(3,3) [12,16]x(1,2) [3,8]x(2,3) [5,10]

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Algorithm overview

1. Sort by the end times 2. Remove tasks cover other tasks 3. Dynamic programming

Computing x(i,j), then x(1,n) is the result

[5,10] x(i,j) [s,e]x(1,1) [3,7]x(2,2) [5,9]x(3,3) [12,16]x(1,2) [3,8]x(2,3) [5,10]

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Algorithm overview

1. Sort by the end times 2. Remove tasks cover other tasks 3. Dynamic programming

Computing x(i,j), then x(1,n) is the result[3,10]

x(i,j) [s,e]x(1,1) [3,7]x(2,2) [5,9]x(3,3) [12,16]x(1,2) [3,8]x(2,3) [5,10]x(1,3) =

x(1,1) U x(2,3)+

x(1,2) U x(3,3)+min

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Simulation

TossimFour casesTasks are from multi-applicationsEach application consists of periodical

tasks

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Simulation

short sampling interval lengths

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Simulation

longer sampling interval lengths

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Simulation

Different Window size

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Simulation

Data loss

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