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Constraint Solver for Product Lines
Project 1 Presentation
Jianfeng Chen
jchen37@ncsu.edu
April 9, 2015
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 1 / 18
Software features
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
Software features
Software engineering is becoming more and more complex.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
Software features
Software engineering is becoming more and more complex.
More and more features.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
Software features
Software engineering is becoming more and more complex.
More and more features.
C2C online trading system: database, commercial data encryption, mil-
lisecond(microsecond) response, customable GUI, chatting module, email
connection, etc.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
Software features
Software engineering is becoming more and more complex.
More and more features.
C2C online trading system: database, commercial data encryption, mil-
lisecond(microsecond) response, customable GUI, chatting module, email
connection, etc.
An operating system have thousands of modules and features.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
Software features
Software engineering is becoming more and more complex.
More and more features.
C2C online trading system: database, commercial data encryption, mil-
lisecond(microsecond) response, customable GUI, chatting module, email
connection, etc.
An operating system have thousands of modules and features.
Among them, which features should be implemented?
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
Feature model
Feature tree:
http://www.digplanet.com/wiki/Feature_model
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
Feature model
Feature tree:
http://www.digplanet.com/wiki/Feature_model
Many features are related to others.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
Feature model
Feature tree:
http://www.digplanet.com/wiki/Feature_model
Many features are related to others.
Cross-tree constraints complex the problem.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
Feature model
Feature tree:
http://www.digplanet.com/wiki/Feature_model
Many features are related to others.
Cross-tree constraints complex the problem.
Cross-tree constraints are widespread in the software products.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
Feature model
Feature tree:
http://www.digplanet.com/wiki/Feature_model
Many features are related to others.
Cross-tree constraints complex the problem.
Cross-tree constraints are widespread in the software products.
Ex. more than three fourths features in eCos(an open source real-time oper-
ating system) are referred by some constraints.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
Feature model
SPLOT
open repository
more than 600 feature models
SXFM language; parser is available
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 4 / 18
Goals
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
GOALS:
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
GOALS:
⇓ constraint violations
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
GOALS:
⇓ constraint violations
⇑ feature richness
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
GOALS:
⇓ constraint violations
⇑ feature richness
⇑ used features
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
GOALS:
⇓ constraint violations
⇑ feature richness
⇑ used features
⇓ defects
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Goals
INPUT:
feature model(including constraints)
some important feature attributes:
cost
familiarity(used before?)
defects
OUTPUT: configurations (select which features?)
GOALS:
⇓ constraint violations
⇑ feature richness
⇑ used features
⇓ defects
⇓ total cost
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
Genetic algorithms
http://www.abrandao.com/2015/01/21/simple-php-genetic-algorithm/
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 6 / 18
Domination
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
A 3 7 4 2 7
B 4 7 6 2 7
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
A 3 7 4 2 7
B 4 7 6 2 7
A dominates B
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
A 3 7 4 2 7
B 4 7 6 2 7
A dominates B
A 4 7 6 2 7
B 4 4 6 1 5
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
A 3 7 4 2 7
B 4 7 6 2 7
A dominates B
A 4 7 6 2 7
B 4 4 6 1 5
B dominates A
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
A 3 7 4 2 7
B 4 7 6 2 7
A dominates B
A 4 7 6 2 7
B 4 4 6 1 5
B dominates A
A 3 7 4 2 7
B 4 4 6 1 7
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Domination
Reverse the uprise objectives ⇒ all objectives are the less the better.
A 3 7 4 2 7
B 4 7 6 2 7
A dominates B
A 4 7 6 2 7
B 4 4 6 1 5
B dominates A
A 3 7 4 2 7
B 4 4 6 1 7
A is indifferent from B
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
Method 1: Differential Evolution
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 8 / 18
Method 1: Differential Evolution
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 8 / 18
Method 1: Differential Evolution
continuous: new = A + F ∗ (B − C)
binary: for each bit, new = A|B|C basing on some lottery.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 8 / 18
Method 1: Differential Evolution
What if indifferent?
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
Method 1: Differential Evolution
What if indifferent?
add to the population pool!
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
Method 1: Differential Evolution
What if indifferent?
add to the population pool!
How to prune?
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
Method 1: Differential Evolution
What if indifferent?
add to the population pool!
How to prune?
[Deb, Kalyanmoy, et al. 2002]
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
Method 2: Indicator-based search
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
Method 2: Indicator-based search
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
Method 2: Indicator-based search
Binary quality indicator
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
Method 2: Indicator-based search
Binary quality indicator
Fitness F(x) = i∈Px −e−I(i,x)/κ
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
Method 2: Indicator-based search
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Method 2: Indicator-based search
Initialization
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Method 2: Indicator-based search
Initialization
Get fitness
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Method 2: Indicator-based search
Initialization
Get fitness
Eliminate the individuals with smallest fitness
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Method 2: Indicator-based search
Initialization
Get fitness
Eliminate the individuals with smallest fitness
Mating selection
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Method 2: Indicator-based search
Initialization
Get fitness
Eliminate the individuals with smallest fitness
Mating selection
Variation
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Method 2: Indicator-based search
Initialization
Get fitness
Eliminate the individuals with smallest fitness
Mating selection
Variation
Terminate or back to second step
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
Results
FM test (medium size)
166 features
112 leaves
46 cross-tree constraints
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 12 / 18
Results
IBEA.FM.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 13 / 18
Results
DE vs IBEA.FM.
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 14 / 18
Results
DE vs IBEA.FM.
Figure: Features NOT provided
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 14 / 18
Results
DE vs IBEA.FM.
Figure: Defects
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 15 / 18
Further discussion
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Running time
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Running time
DE-FM-500 gens-54s
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Running time
DE-FM-500 gens-54s
IBEA-FM-500 gens-83s
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Running time
DE-FM-500 gens-54s
IBEA-FM-500 gens-83s
In average, IBEA = 1.3*DE
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Running time
DE-FM-500 gens-54s
IBEA-FM-500 gens-83s
In average, IBEA = 1.3*DE
Front Quality
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Further discussion
Stopping criterion
improvement/deterioration accumulation
customable weight
Running time
DE-FM-500 gens-54s
IBEA-FM-500 gens-83s
In average, IBEA = 1.3*DE
Front Quality
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
Future work
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
Future work
pruning in differential evolution (flocking behaviors)
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
Future work
pruning in differential evolution (flocking behaviors)
mutate with reservations
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
Future work
pruning in differential evolution (flocking behaviors)
mutate with reservations
reconstruct the feature tree (reduce the search space)
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
Future work
pruning in differential evolution (flocking behaviors)
mutate with reservations
reconstruct the feature tree (reduce the search space)
chaff algorithm
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
Future work
pruning in differential evolution (flocking behaviors)
mutate with reservations
reconstruct the feature tree (reduce the search space)
chaff algorithm
Satz/Z3
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
Thank you!
Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 18 / 18

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Software product line with IBEA

  • 1. Constraint Solver for Product Lines Project 1 Presentation Jianfeng Chen jchen37@ncsu.edu April 9, 2015 Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 1 / 18
  • 2. Software features Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
  • 3. Software features Software engineering is becoming more and more complex. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
  • 4. Software features Software engineering is becoming more and more complex. More and more features. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
  • 5. Software features Software engineering is becoming more and more complex. More and more features. C2C online trading system: database, commercial data encryption, mil- lisecond(microsecond) response, customable GUI, chatting module, email connection, etc. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
  • 6. Software features Software engineering is becoming more and more complex. More and more features. C2C online trading system: database, commercial data encryption, mil- lisecond(microsecond) response, customable GUI, chatting module, email connection, etc. An operating system have thousands of modules and features. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
  • 7. Software features Software engineering is becoming more and more complex. More and more features. C2C online trading system: database, commercial data encryption, mil- lisecond(microsecond) response, customable GUI, chatting module, email connection, etc. An operating system have thousands of modules and features. Among them, which features should be implemented? Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 2 / 18
  • 8. Feature model Feature tree: http://www.digplanet.com/wiki/Feature_model Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
  • 9. Feature model Feature tree: http://www.digplanet.com/wiki/Feature_model Many features are related to others. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
  • 10. Feature model Feature tree: http://www.digplanet.com/wiki/Feature_model Many features are related to others. Cross-tree constraints complex the problem. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
  • 11. Feature model Feature tree: http://www.digplanet.com/wiki/Feature_model Many features are related to others. Cross-tree constraints complex the problem. Cross-tree constraints are widespread in the software products. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
  • 12. Feature model Feature tree: http://www.digplanet.com/wiki/Feature_model Many features are related to others. Cross-tree constraints complex the problem. Cross-tree constraints are widespread in the software products. Ex. more than three fourths features in eCos(an open source real-time oper- ating system) are referred by some constraints. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 3 / 18
  • 13. Feature model SPLOT open repository more than 600 feature models SXFM language; parser is available Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 4 / 18
  • 14. Goals Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 15. Goals INPUT: Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 16. Goals INPUT: feature model(including constraints) Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 17. Goals INPUT: feature model(including constraints) some important feature attributes: Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 18. Goals INPUT: feature model(including constraints) some important feature attributes: cost Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 19. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 20. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 21. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 22. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) GOALS: Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 23. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) GOALS: ⇓ constraint violations Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 24. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) GOALS: ⇓ constraint violations ⇑ feature richness Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 25. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) GOALS: ⇓ constraint violations ⇑ feature richness ⇑ used features Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 26. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) GOALS: ⇓ constraint violations ⇑ feature richness ⇑ used features ⇓ defects Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 27. Goals INPUT: feature model(including constraints) some important feature attributes: cost familiarity(used before?) defects OUTPUT: configurations (select which features?) GOALS: ⇓ constraint violations ⇑ feature richness ⇑ used features ⇓ defects ⇓ total cost Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 5 / 18
  • 28. Genetic algorithms http://www.abrandao.com/2015/01/21/simple-php-genetic-algorithm/ Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 6 / 18
  • 29. Domination Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 30. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 31. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. A 3 7 4 2 7 B 4 7 6 2 7 Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 32. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. A 3 7 4 2 7 B 4 7 6 2 7 A dominates B Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 33. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. A 3 7 4 2 7 B 4 7 6 2 7 A dominates B A 4 7 6 2 7 B 4 4 6 1 5 Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 34. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. A 3 7 4 2 7 B 4 7 6 2 7 A dominates B A 4 7 6 2 7 B 4 4 6 1 5 B dominates A Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 35. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. A 3 7 4 2 7 B 4 7 6 2 7 A dominates B A 4 7 6 2 7 B 4 4 6 1 5 B dominates A A 3 7 4 2 7 B 4 4 6 1 7 Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 36. Domination Reverse the uprise objectives ⇒ all objectives are the less the better. A 3 7 4 2 7 B 4 7 6 2 7 A dominates B A 4 7 6 2 7 B 4 4 6 1 5 B dominates A A 3 7 4 2 7 B 4 4 6 1 7 A is indifferent from B Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 7 / 18
  • 37. Method 1: Differential Evolution Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 8 / 18
  • 38. Method 1: Differential Evolution Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 8 / 18
  • 39. Method 1: Differential Evolution continuous: new = A + F ∗ (B − C) binary: for each bit, new = A|B|C basing on some lottery. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 8 / 18
  • 40. Method 1: Differential Evolution What if indifferent? Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
  • 41. Method 1: Differential Evolution What if indifferent? add to the population pool! Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
  • 42. Method 1: Differential Evolution What if indifferent? add to the population pool! How to prune? Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
  • 43. Method 1: Differential Evolution What if indifferent? add to the population pool! How to prune? [Deb, Kalyanmoy, et al. 2002] Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 9 / 18
  • 44. Method 2: Indicator-based search Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
  • 45. Method 2: Indicator-based search Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
  • 46. Method 2: Indicator-based search Binary quality indicator Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
  • 47. Method 2: Indicator-based search Binary quality indicator Fitness F(x) = i∈Px −e−I(i,x)/κ Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 10 / 18
  • 48. Method 2: Indicator-based search Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 49. Method 2: Indicator-based search Initialization Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 50. Method 2: Indicator-based search Initialization Get fitness Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 51. Method 2: Indicator-based search Initialization Get fitness Eliminate the individuals with smallest fitness Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 52. Method 2: Indicator-based search Initialization Get fitness Eliminate the individuals with smallest fitness Mating selection Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 53. Method 2: Indicator-based search Initialization Get fitness Eliminate the individuals with smallest fitness Mating selection Variation Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 54. Method 2: Indicator-based search Initialization Get fitness Eliminate the individuals with smallest fitness Mating selection Variation Terminate or back to second step Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 11 / 18
  • 55. Results FM test (medium size) 166 features 112 leaves 46 cross-tree constraints Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 12 / 18
  • 56. Results IBEA.FM. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 13 / 18
  • 57. Results DE vs IBEA.FM. Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 14 / 18
  • 58. Results DE vs IBEA.FM. Figure: Features NOT provided Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 14 / 18
  • 59. Results DE vs IBEA.FM. Figure: Defects Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 15 / 18
  • 60. Further discussion Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 61. Further discussion Stopping criterion Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 62. Further discussion Stopping criterion improvement/deterioration accumulation Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 63. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 64. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Running time Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 65. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Running time DE-FM-500 gens-54s Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 66. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Running time DE-FM-500 gens-54s IBEA-FM-500 gens-83s Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 67. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Running time DE-FM-500 gens-54s IBEA-FM-500 gens-83s In average, IBEA = 1.3*DE Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 68. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Running time DE-FM-500 gens-54s IBEA-FM-500 gens-83s In average, IBEA = 1.3*DE Front Quality Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 69. Further discussion Stopping criterion improvement/deterioration accumulation customable weight Running time DE-FM-500 gens-54s IBEA-FM-500 gens-83s In average, IBEA = 1.3*DE Front Quality Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 16 / 18
  • 70. Future work Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
  • 71. Future work pruning in differential evolution (flocking behaviors) Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
  • 72. Future work pruning in differential evolution (flocking behaviors) mutate with reservations Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
  • 73. Future work pruning in differential evolution (flocking behaviors) mutate with reservations reconstruct the feature tree (reduce the search space) Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
  • 74. Future work pruning in differential evolution (flocking behaviors) mutate with reservations reconstruct the feature tree (reduce the search space) chaff algorithm Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
  • 75. Future work pruning in differential evolution (flocking behaviors) mutate with reservations reconstruct the feature tree (reduce the search space) chaff algorithm Satz/Z3 Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 17 / 18
  • 76. Thank you! Jianfeng Chen (jchen37@ncsu.edu) Constraint Solver for Product Lines April 9, 2015 18 / 18