Cost Soundness for Priced Resource-Constrained Workflow Nets

  • María Martos-Salgado
  • Fernando Rosa-Velardo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7347)

Abstract

We extend workflow Petri nets (wf-nets) with discrete prices, by associating a price to the execution of a transition and, more importantly, to the storage of tokens. We first define the soundness problem for priced wf-nets, that of deciding whether the workflow can always terminate properly, where in the priced setting “properly” also means that the execution does not cost more than a given threshold. Then, we study soundness of resource-constrained workflow nets (rcwf-nets), an extension of wf-nets for the modeling of concurrent executions of a workflow, sharing some global resources. We develop a framework in which to study soundness for priced rcwf-nets, that is parametric on the cost model. Then, that framework is instantiated, obtaining the cases in which the sum, the maximum, the average and the discounted sum of the prices of each all instances are considered. We study the relations between these properties, together with their decidability.

Keywords

Storage Cost True Predicate Static Place Negative Cost Price Predicate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    van der Aalst, W.M.P., van Hee, K.M.: Workflow Management: Models, Methods, and Systems. MIT Press (2002)Google Scholar
  2. 2.
    van der Aalst, W.M.P., van Hee, K.M., ter Hofstede, A.H.M., Sidorova, N., Verbeek, H.M.W., Voorhoeve, M., Wynn, M.T.: Soundness of workflow nets: classification, decidability, and analysis. Formal Asp. Comput. 23, 333–363 (2011)MATHCrossRefGoogle Scholar
  3. 3.
    van Hee, K.M., Serebrenik, A., Sidorova, N., Voorhoeve, M.: Soundness of Resource-Constrained Workflow Nets. In: Ciardo, G., Darondeau, P. (eds.) ICATPN 2005. LNCS, vol. 3536, pp. 250–267. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  4. 4.
    Juhás, G., Kazlov, I., Juhásová, A.: Instance Deadlock: A Mystery behind Frozen Programs. In: Lilius, J., Penczek, W. (eds.) PETRI NETS 2010. LNCS, vol. 6128, pp. 1–17. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  5. 5.
    Martos-Salgado, M., Rosa-Velardo, F.: Dynamic Soundness in Resource-Constrained Workflow Nets. In: Bruni, R., Dingel, J. (eds.) FORTE/FMOODS 2011. LNCS, vol. 6722, pp. 259–273. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  6. 6.
    Sampath, P., Wirsing, M.: Computing the Cost of Business Processes. In: Yang, J., Ginige, A., Mayr, H.C., Kutsche, R.-D. (eds.) UNISCON 2009. LNBIP, vol. 20, pp. 178–183. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  7. 7.
    Magnani, M., Montesi, D.: BPMN: How Much Does It Cost? An Incremental Approach. In: Alonso, G., Dadam, P., Rosemann, M. (eds.) BPM 2007. LNCS, vol. 4714, pp. 80–87. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  8. 8.
    Tahamtan, A., Oesterle, C., Tjoa, A.M., Hameurlain, A.: Bpel-time - ws-bpel time management extension. In: Zhang, R., Cordeiro, J., Li, X., Zhang, Z., Zhang, J. (eds.) ICEIS (3), pp. 34–45. SciTePress (2011)Google Scholar
  9. 9.
    Liu, K., Jin, H., Chen, J., Liu, X., Yuan, D., Yang, Y.: A compromised-time-cost scheduling algorithm in swindew-c for instance-intensive cost-constrained workflows on a cloud computing platform. IJHPCA 24, 445–456 (2010)Google Scholar
  10. 10.
    Mukherjee, D.: QoS in WS-BPEL Processes. PhD thesis, Indian Institute Of Technology (2008)Google Scholar
  11. 11.
    Abdulla, P.A., Mayr, R.: Minimal Cost Reachability/Coverability in Priced Timed Petri Nets. In: de Alfaro, L. (ed.) FOSSACS 2009. LNCS, vol. 5504, pp. 348–363. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  12. 12.
    Abdulla, P.A., Delzanno, G., Begin, L.V.: A classification of the expressive power of well-structured transition systems. Inf. Comput. 209, 248–279 (2011)MATHCrossRefGoogle Scholar
  13. 13.
    Lazic, R., Newcomb, T., Ouaknine, J., Roscoe, A.W., Worrell, J.: Nets with tokens which carry data. Fundam. Inform. 88, 251–274 (2008)MathSciNetMATHGoogle Scholar
  14. 14.
    Chatterjee, K., Doyen, L., Henzinger, T.A.: Quantitative languages. ACM Trans. Comput. Log. 11 (2010)Google Scholar
  15. 15.
    Alur, R., Torre, S.L., Pappas, G.J.: Optimal paths in weighted timed automata. Theor. Comput. Sci. 318, 297–322 (2004)MATHCrossRefGoogle Scholar
  16. 16.
    Bouyer, P., Brihaye, T., Bruyère, V., Raskin, J.F.: On the optimal reachability problem of weighted timed automata. Formal Methods in System Design 31, 135–175 (2007)MATHCrossRefGoogle Scholar
  17. 17.
    Abdulla, P.A., Mayr, R.: Computing optimal coverability costs in priced timed petri nets. In: LICS, pp. 399–408. IEEE Computer Society (2011)Google Scholar
  18. 18.
    Bouyer, P., Fahrenberg, U., Larsen, K.G., Markey, N.: Timed automata with observers under energy constraints. In: Johansson, K.H., Yi, W. (eds.) HSCC, pp. 61–70. ACM (2010)Google Scholar
  19. 19.
    Chatterjee, K., Doyen, L., Henzinger, T.A., Raskin, J.-F.: Generalized mean-payoff and energy games. In: Lodaya, K., Mahajan, M. (eds.) FSTTCS. LIPIcs, vol. 8, pp. 505–516. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2010)Google Scholar
  20. 20.
    Fahrenberg, U., Juhl, L., Larsen, K.G., Srba, J.: Energy Games in Multiweighted Automata. In: Cerone, A., Pihlajasaari, P. (eds.) ICTAC 2011. LNCS, vol. 6916, pp. 95–115. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  21. 21.
    Martos-Salgado, M., Rosa-Velardo, F.: Cost soundness for priced resource-constrained workflow nets (2012), http://antares.sip.ucm.es/frosa/
  22. 22.
    Finkel, A., Schnoebelen, P.: Well-structured transition systems everywhere! Theor. Comput. Sci. 256, 63–92 (2001)MathSciNetMATHCrossRefGoogle Scholar
  23. 23.
    Rosa-Velardo, F., de Frutos-Escrig, D.: Decidability and complexity of petri nets with unordered data. Theor. Comput. Sci. 412, 4439–4451 (2011)MATHCrossRefGoogle Scholar
  24. 24.
    Valk, R., Jantzen, M.: The residue of vector sets with applications to decidability problems in petri nets. Acta Inf. 21, 643–674 (1985)MathSciNetMATHCrossRefGoogle Scholar
  25. 25.
    Rosa-Velardo, F., de Frutos-Escrig, D.: Name creation vs. replication in petri net systems. Fundam. Inform. 88, 329–356 (2008)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • María Martos-Salgado
    • 1
  • Fernando Rosa-Velardo
    • 1
  1. 1.Sistemas Informáticos y ComputaciónUniversidad Complutense de MadridSpain

Personalised recommendations