Skip to main content

2014 | OriginalPaper | Buchkapitel

Discovering Stochastic Petri Nets with Arbitrary Delay Distributions from Event Logs

verfasst von : Andreas Rogge-Solti, Wil M. P. van der Aalst, Mathias Weske

Erschienen in: Business Process Management Workshops

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Capturing the performance of a system or business process as accurately as possible is important, as models enriched with performance information provide valuable input for analysis, operational support, and prediction. Due to their computationally nice properties, memoryless models such as exponentially distributed stochastic Petri nets have earned much attention in research and industry. However, there are cases when the memoryless property is clearly not able to capture process behavior, e.g., when dealing with fixed time-outs.
We want to allow models to have generally distributed durations to be able to capture the behavior of the environment and resources as accurately as possible. For these more expressive process models, the execution policy has to be specified in more detail. In this paper, we present and evaluate process discovery algorithms for each of the execution policies. The introduced approach uses raw event execution data to discover various classes of stochastic Petri nets. The algorithms are based on the notion of alignments and have been implemented as a plug-in in the process mining framework ProM.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
See the StochasticPetriNet package of ProM (http://​www.​processmining.​org).
 
2
See package logspline in R. (http://​www.​r-project.​org/​).
 
Literatur
1.
Zurück zum Zitat van der Aalst, W.: Process Mining: Discovery Conformance and Enhancement of Business Processes. Springer, Heidelberg (2011)CrossRef van der Aalst, W.: Process Mining: Discovery Conformance and Enhancement of Business Processes. Springer, Heidelberg (2011)CrossRef
2.
Zurück zum Zitat Lohmann, N., Verbeek, E., Dijkman, R.: Petri Net transformations for business processes – a survey. In: Jensen, K., van der Aalst, W.M.P. (eds.) Transactions on Petri Nets and Other Models of Concurrency II. LNCS, vol. 5460, pp. 46–63. Springer, Heidelberg (2009) CrossRef Lohmann, N., Verbeek, E., Dijkman, R.: Petri Net transformations for business processes – a survey. In: Jensen, K., van der Aalst, W.M.P. (eds.) Transactions on Petri Nets and Other Models of Concurrency II. LNCS, vol. 5460, pp. 46–63. Springer, Heidelberg (2009) CrossRef
3.
Zurück zum Zitat Rozinat, A., Mans, R.S., Song, M., van der Aalst, W.: Discovering simulation models. Inf. Syst. 34(3), 305–327 (2009)CrossRef Rozinat, A., Mans, R.S., Song, M., van der Aalst, W.: Discovering simulation models. Inf. Syst. 34(3), 305–327 (2009)CrossRef
4.
Zurück zum Zitat Leclercq, E., Lefebvre, D., Ould El Mehdi, S.: Identification of timed stochastic petri net models with normal distributions of firing periods. In: Information Control Problems in Manufacturing, vol. 13, pp. 948–953 (2009) Leclercq, E., Lefebvre, D., Ould El Mehdi, S.: Identification of timed stochastic petri net models with normal distributions of firing periods. In: Information Control Problems in Manufacturing, vol. 13, pp. 948–953 (2009)
5.
Zurück zum Zitat Anastasiou, N., Horng, T., Knottenbelt, W.: Deriving generalised stochastic Petri Net performance models from high-precision location tracking data. In: VALUETOOLS’11, ICST, pp. 91–100 (2011) Anastasiou, N., Horng, T., Knottenbelt, W.: Deriving generalised stochastic Petri Net performance models from high-precision location tracking data. In: VALUETOOLS’11, ICST, pp. 91–100 (2011)
6.
Zurück zum Zitat Hu, H., Xie, J., Hu, H.: A novel approach for mining stochastic process model from workflow logs. J. Comput. Inf. Syst. 7(9), 3113–3126 (2011)MathSciNet Hu, H., Xie, J., Hu, H.: A novel approach for mining stochastic process model from workflow logs. J. Comput. Inf. Syst. 7(9), 3113–3126 (2011)MathSciNet
7.
Zurück zum Zitat Marsan, M.A., Balbo, G., Bobbio, A., Chiola, G., Conte, G., Cumani, A.: The effect of execution policies on the semantics and analysis of stochastic petri nets. IEEE Trans. Softw. Eng. 15, 832–846 (1989)CrossRef Marsan, M.A., Balbo, G., Bobbio, A., Chiola, G., Conte, G., Cumani, A.: The effect of execution policies on the semantics and analysis of stochastic petri nets. IEEE Trans. Softw. Eng. 15, 832–846 (1989)CrossRef
8.
Zurück zum Zitat Adriansyah, A., van Dongen, B., van der Aalst, W.: Conformance checking using cost-based fitness analysis. In: EDOC 2011, pp. 55–64. IEEE (2011) Adriansyah, A., van Dongen, B., van der Aalst, W.: Conformance checking using cost-based fitness analysis. In: EDOC 2011, pp. 55–64. IEEE (2011)
9.
Zurück zum Zitat Ciardo, G., German, R., Lindemann, C.: A characterization of the stochastic process underlying a stochastic Petri Net. IEEE Trans. Softw. Eng. 20(7), 506–515 (1994)CrossRef Ciardo, G., German, R., Lindemann, C.: A characterization of the stochastic process underlying a stochastic Petri Net. IEEE Trans. Softw. Eng. 20(7), 506–515 (1994)CrossRef
10.
Zurück zum Zitat Marsan, M., Conte, G., Balbo, G.: A class of generalized stochastic Petri Nets for the performance evaluation of multiprocessor systems. ACM TOCS 2(2), 93–122 (1984)CrossRef Marsan, M., Conte, G., Balbo, G.: A class of generalized stochastic Petri Nets for the performance evaluation of multiprocessor systems. ACM TOCS 2(2), 93–122 (1984)CrossRef
11.
Zurück zum Zitat van der Aalst, W., Adriansyah, A., van Dongen, B.: Replaying history on process models for conformance checking and performance analysis. WIREs Data Mining Knowl. Discov. 2, 182–192 (2012). (Wiley Online Library)CrossRef van der Aalst, W., Adriansyah, A., van Dongen, B.: Replaying history on process models for conformance checking and performance analysis. WIREs Data Mining Knowl. Discov. 2, 182–192 (2012). (Wiley Online Library)CrossRef
12.
Zurück zum Zitat Fahland, D., van der Aalst, W.M.P.: Repairing process models to reflect reality. In: Barros, A., Gal, A., Kindler, E. (eds.) BPM 2012. LNCS, vol. 7481, pp. 229–245. Springer, Heidelberg (2012) Fahland, D., van der Aalst, W.M.P.: Repairing process models to reflect reality. In: Barros, A., Gal, A., Kindler, E. (eds.) BPM 2012. LNCS, vol. 7481, pp. 229–245. Springer, Heidelberg (2012)
13.
Zurück zum Zitat Buijs, J.C.A.M., La Rosa, M., Reijers, H.A., van Dongen, B.F., van der Aalst, W.M.P.: Improving business process models using observed behavior. In: Cudre-Mauroux, P., Ceravolo, P., Gašević, D. (eds.) SIMPDA 2012. LNBIP, vol. 162, pp. 44–59. Springer, Heidelberg (2013) Buijs, J.C.A.M., La Rosa, M., Reijers, H.A., van Dongen, B.F., van der Aalst, W.M.P.: Improving business process models using observed behavior. In: Cudre-Mauroux, P., Ceravolo, P., Gašević, D. (eds.) SIMPDA 2012. LNBIP, vol. 162, pp. 44–59. Springer, Heidelberg (2013)
14.
Zurück zum Zitat Padgett, W., McNichols, D.T.: Nonparametric density estimation from censored data. Commun. Stat. Theor. Methods 13(13), 1581–1611 (1984)CrossRefMATHMathSciNet Padgett, W., McNichols, D.T.: Nonparametric density estimation from censored data. Commun. Stat. Theor. Methods 13(13), 1581–1611 (1984)CrossRefMATHMathSciNet
15.
Zurück zum Zitat Kooperberg, C., Stone, C.J.: Logspline density estimation for censored data. J. Comput. Graph. Stat. 1(4), 301–328 (1992) Kooperberg, C., Stone, C.J.: Logspline density estimation for censored data. J. Comput. Graph. Stat. 1(4), 301–328 (1992)
16.
Zurück zum Zitat Buchholz, R., Krull, C., Horton, G.: Reconstructing model parameters in partially-observable discrete stochastic systems. In: Al-Begain, K., Balsamo, S., Fiems, D., Marin, A. (eds.) ASMTA 2011. LNCS, vol. 6751, pp. 159–174. Springer, Heidelberg (2011) Buchholz, R., Krull, C., Horton, G.: Reconstructing model parameters in partially-observable discrete stochastic systems. In: Al-Begain, K., Balsamo, S., Fiems, D., Marin, A. (eds.) ASMTA 2011. LNCS, vol. 6751, pp. 159–174. Springer, Heidelberg (2011)
17.
Zurück zum Zitat Wombacher, A., Iacob, M.E.: Start time and duration distribution estimation in semi-structured processes. Technical report, Centre for Telematics and Information Technology, University of Twente (2012) Wombacher, A., Iacob, M.E.: Start time and duration distribution estimation in semi-structured processes. Technical report, Centre for Telematics and Information Technology, University of Twente (2012)
Metadaten
Titel
Discovering Stochastic Petri Nets with Arbitrary Delay Distributions from Event Logs
verfasst von
Andreas Rogge-Solti
Wil M. P. van der Aalst
Mathias Weske
Copyright-Jahr
2014
DOI
https://doi.org/10.1007/978-3-319-06257-0_2

Premium Partner