Monotonicity Schunselaar, Verbeek, Van der Aalst, Reijers.
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Transcript of Monotonicity Schunselaar, Verbeek, Van der Aalst, Reijers.
Monotonicity
Schunselaar, Verbeek, Van der Aalst, Reijers
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Analysing the models (Petra)
Petra
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Analysing the models (Petra)
Petra
1
2
3
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Configurable process model
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Configurable process model
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Analysing the models (Petra)
Petra
1
2
3
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Pareto front
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr of control tasks
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Pareto front a closer look
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr of control tasks
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Pareto front a closer look
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr of control tasks
¿
¿
¿Processing time Processing time≥
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Analysing the models (Petra)
Petra
1
2
3
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General statement
• Given two models M, M’ and a KPI; is M M’ w.r.t. that KPI?• No false positives
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
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3 4
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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M’
M
Processing Time
• The amount of time spent by resources on a case
≥
1
2
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Processing Time
• Is and ?• Is faster than ?
1
2
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Processing Time
• What about and ?
1
2
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Processing Time
• What about 1.C?
1
2
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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Processing Time (choices)
• Does imply ?
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4’
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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Throughput Time
• The time it takes a case to move from start to finish
1
2
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Throughput Time
• Is and ?• Is faster than ? • Is at least available when is available?• Do we have at least as much as ?•
1
2
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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Throughput Time
• Is the relation between 3.B and 3.C and the relation between 1.B and 1.C ?
1
3
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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Nr of control tasks working on a case
• Which are the control tasks?
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2
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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Mickey Mouse Index
• Mapping (activities, resources)• Comparator (activities, resources)• Partial order on relation (operator) between activities• Occurrence of activities (resources)• Classification of activities/resources• Unmapped activities/resources
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Overview 1 Processing time 2 Throughput time 3 Nr. of control tasks 4 Mickey Mouse Index
1 2
3 4
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Remember: Pareto front
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr. of control tasks
- Throughput time - Processing time - Nr of control tasks
- Throughput time - Processing time - Nr of control tasks
¿
¿
¿Processing time Processing time≥
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Remember: Pareto front
- Throughput time - Processing time - Nr. of control tasks - Mickey Mouse Index
- Throughput time - Processing time - Nr of control tasks - Mickey Mouse Index
- Throughput time - Processing time - Nr. of control tasks - Mickey Mouse Index
- Throughput time - Processing time - Nr of control tasks - Mickey Mouse Index
- Throughput time - Processing time - Nr of control tasks - Mickey Mouse Index
≥
≥
≥Processing time Processing time≥
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Analysing the models (Petra)
Petra
1
2
3
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Future work
• Implementation + case study• Effectiveness • Increase in speed
• Proper support for loops
• Navigating through the analysed models
• Configuration constraints• Language based/ the “O-word”
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Questions