Download - A Weighted Congruence Measure
A Weighted Congruence Measure
A Weighted Congruence Measure
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Irwin Kwan Adrian Schröter Daniela Damian
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1.Calculate Coordinat ion Requirements
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1.Calculate Coordinat ion Requirements
2.Gather Actual Coordination
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1.Calculate Coordinat ion Requirements
2.Gather Actual Coordination3.Calculate congruence index
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Limitations of the existing socio-technical congruence calcuation
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000011100010001100001110000011000111000011100000011000100001100011000011000001100000100011000000100000111000000111000100011000011100000110001110000111000000110001000011000110000110000011000001000110000001000001110000001110001000110000111000001100011100001110001000110001000011000110000110000011000001000110000001000001110000001110001000110000111000001100011100001110000001100010000110001100001100000110000010001100000010000011100000011100010001100001110000011000111000011100000011000100001100011000011000001100000100011000000100000111000000111000100011000011100000110001110000111000000110001000011000110000110010001100000100011000020010000011100000011100010001100001110000011000111000011100000011000100001100011000011000001100000100011000000100000111000000111000100011000011100000110001110000111000000110001000011000
11000011000001100000100011000000100000111000
Every edge is dichotomized.
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There’s no way to identify which gaps are important.
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Weighted Congruence
1 00 0.50.80.1
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Zidane
Yvette
Xavier 7
Code CDesign A
Code B
Zidane
Yvette
Xavier 7
Code CDesign A
Code B
Zidane
Yvette
Xavier 7
Weighted task assignments
Code CDesign A
Code B
Zidane
Yvette
Xavier 7
Weighted task assignments
Example: proportion of allocated hours
Code CDesign A
Code B
Zidane
Yvette
Xavier 7
Weighted task assignments
Example: proportion of allocated hours
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1
Code CDesign A
Code B
Zidane
Yvette
Xavier 7
Weighted task assignments
Example: proportion of allocated hours
0.8
Code CDesign A
Code B
Zidane
Yvette
Xavier
0.75
0.25
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Weighted task assignments
Example: proportion of allocated hours
0.8
Code CDesign A
Code B
Zidane
Yvette
Xavier
0.75
0.25
7
0.8
0.75
Code CDesign A
Code B0.25
Zidane
Xavier 8
Yvette
Weighted task dependencies
0.8
0.75
Code CDesign A
Code B0.25
Zidane
Xavier 8
Yvette
Example: proportion of features to be
implemented in code
Weighted task dependencies
0.8
0.75
Code CDesign A
Code B0.25
Zidane
Xavier 8
Yvette
Example: proportion of features to be
implemented in code
Weighted task dependencies
0.8
0.75
Code CDesign A
0.6
Code B
0.4
0.25
Zidane
Xavier 8
Yvette
Computing the Lack-of-Coordination Matrix
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Computing the Lack-of-Coordination Matrix
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Coordination Requirements
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Coordination Requirements =Task Assignment × Task Dependency× (Task Assignment)t
Coordination Requirements
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Coordination Requirements
Xavier Yvette Zidane
X
Y
Z
- 0.08 0.00
0.08 - 0.36
0.00 0.36 -
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× ×
A B C
X
Y
Z
0 0.25 0
0.80 0 0
0 0 0.75
TAA B C
A
B
C
1 0.08 0.00
0.08 1 0.36
0.00 0.36 1
TDX Y Z
A
B
C
0 0.80 0
0.25 0 0
0 0 0.75
TAt
Coordination Requirements
Zidane
Xavier
Yvette
0.36
0.08
0.00
11
0.36
0.080.00
Gather Actual Matrix
Zidane
Xavier
Yvette
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Gather Actual Matrix0.02 Ex: 2% of Zidane’s
instant messages are sent by Yvette
Zidane
Xavier
Yvette
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Gather Actual Matrix
0.10
0.02
0.50
Ex: 2% of Zidane’s instant messages are
sent by YvetteZidane
Xavier
Yvette0.00
0.12
0.05
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Subtract Actual Matrix from Coordination Requirements Matrix
0.10
0.02
0.50
Zidane
Xavier
Yvette0.00
0.12
0.05
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Subtract Actual Matrix from Coordination Requirements Matrix
0.36 -
0.08 -
0.100.00 -
0.02
0.50
Zidane
Xavier
Yvette0.000.00 -
0.36 - 0.12
0.08 - 0.05
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Subtract Actual Matrix from Coordination Requirements Matrix
0.36 -
0.08 -
0.100.00 -
0.02
0.50
Zidane
Xavier
Yvette0.000.00 -
0.36 - 0.12
0.08 - 0.05
0.34
0.24
0.03
-0.42
0.00
-0.10
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=
=
=
=
=
=
Zidane
Xavier
Yvette
14
0.36 -
0.08 -
0.100.00 -
0.02
0.50
0.000.00 -
0.36 - 0.12
0.08 - 0.05
0.34
0.24
0.03
-0.42
0.00
-0.10
=
=
=
=
=
=
Subtract Actual Matrix from Coordination Requirements Matrix
Zidane
Xavier
Yvette
14
0.34
0.24
0.03
-0.42
0.00
-0.10
Subtract Actual Matrix from Coordination Requirements Matrix
Zidane
Xavier
Yvette
Set Values Less than 0 to 00.34
0.24
0.03
-0.42
0.00
-0.10
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Zidane
Xavier
Yvette
Set Values Less than 0 to 00.34
0.24
0.03
-0.42
0.00
-0.10
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Zidane
Xavier
Yvette
Set Values Less than 0 to 00.34
0.24
0.03
15
0
0
0
Zidane
Xavier
Yvette
Lack-of-Coordination0.34
0.24
0.030
0
0
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Zidane
Xavier
Yvette
Lack-of-Coordination
Gaps
0.34
0.24
0.030
0
0
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Computing the Congruence Index
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Computing the Congruence Index
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Overall Congruence
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Overall Congruence
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Zidane
Xavier
Yvette
0.36
0.08
0.00 0.36
0.08
0.00
1. Sum edge values in Coordination Requirements
Overall Congruence
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Zidane
Xavier
Yvette
0.36
0.08
0.00 0.36
0.08
0.00
1. Sum edge values in Coordination Requirements
0.88
Overall Congruence
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Overall Congruence
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2. Sum edge values in Lack-of-Coordination
MatrixZidane
Xavier
Yvette
0.34
0.24
0.030
0
0
Overall Congruence
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2. Sum edge values in Lack-of-Coordination
Matrix
0.61
Zidane
Xavier
Yvette
0.34
0.24
0.030
0
0
Overall Congruence
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Overall Congruence
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3. Divide Lack-of-Coordination over
Coordination Requirements
Overall Congruence
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3. Divide Lack-of-Coordination over
Coordination Requirements
0.61
Overall Congruence
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3. Divide Lack-of-Coordination over
Coordination Requirements
0.61
0.88
= 0.69
Overall Congruence
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Overall Congruence
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4. Subtract result from 1
0.69
Overall Congruence
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4. Subtract result from 1
0.691 - 0.31=
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Benefits
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Locality
Zidane
Xavier
Yvette
0.34
0.24
0.030.0
0.0
0.0
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Locality
Zidane
Xavier
Yvette
0.34
0.24
0.030.0
0.0
0.0
We know there’s a gap
here!
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Priority
Zidane
Xavier
Yvette
0.34
0.24
0.030.0
0.0
0.0
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Priority
Zidane
Xavier
Yvette
0.34
0.24
0.030.0
0.0
0.0
Big Gap
Big Gap
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Priority
Zidane
Xavier
Yvette
0.34
0.24
0.030.0
0.0
0.0
Big Gap
Big Gap
Not a Big Gap
