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Monotonicity

This research delves into the analysis of configurable process models to determine the impact of processing time, throughput time, and number of control tasks. The study focuses on Pareto front analysis and considers the relationships between various key performance indicators. The objective is to provide insights into model comparisons and identify efficiency improvements. Future work will involve implementing a case study to test the effectiveness of these metrics and explore ways to enhance speed and support for loops in process modeling. Questions regarding configuration constraints and language-based considerations form the basis for further investigation.

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Monotonicity

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  1. Monotonicity Schunselaar, Verbeek, Van der Aalst, Reijers

  2. Motivation

  3. Analysing the models (Petra) Petra

  4. Analysing the models (Petra) 1 3 2 Petra

  5. Configurable process model

  6. Configurable process model

  7. Analysing the models (Petra) 1 3 2 Petra

  8. 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

  9. 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

  10. 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

  11. Analysing the models (Petra) 1 3 2 Petra

  12. General statement • Given two models M, M’ and a KPI; is M M’ w.r.t. that KPI? • No false positives

  13. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  14. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  15. Processing Time 2 M M’ 1 The amount of time spent by resources on a case

  16. Processing Time 2 1 • Is and ? • Is faster than ?

  17. Processing Time 2 1 What about and ?

  18. Processing Time 2 1 What about 1.C?

  19. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  20. Processing Time (choices) 4 4’ Does imply ?

  21. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  22. Throughput Time 2 1 The time it takes a case to move from start to finish

  23. Throughput Time 2 1 • Is and ? • Is faster than ? • Is at least available when is available? • Do we have at least as much as ?

  24. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  25. Throughput Time 3 1 Is the relation between 3.B and 3.C and the relation between 1.B and 1.C ?

  26. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  27. Nr of control tasks working on a case 1 2 Which are the control tasks?

  28. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  29. 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

  30. 1 Processing time 2 Throughput time 3 Nr. of control tasks Overview 4 Mickey Mouse Index 1 2 3 4

  31. 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

  32. 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 timeProcessing time

  33. Analysing the models (Petra) 1 3 2 Petra

  34. 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”

  35. Questions

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