Abstract
A fundamental problem in conformance checking is aligning event data with process models. Unfortunately, existing techniques for this task are either complex, or can only be applicable to restricted classes of models. This in practice means that for large inputs, current techniques often fail to produce a result. In this paper we propose a method to approximate alignments for unconstrained process models, which relies on the use of relaxation labelling techniques on top of a partial order representation of the process model. The implementation on the proposed technique achieves a speed-up of several orders of magnitude with respect to the approaches in the literature (either optimal or approximate), often with a reasonable trade-off on the cost of the obtained alignment.
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Notes
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- 2.
Notice that a transition can correspond to several different firing modes, that depend on the context, which will be represented as different events in the unfolding.
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In case models do not have duplicate labels, the detection of loops can alternatively be performed as it was done in [2].
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- 5.
Notice that, for the sake of simplicity, the example in Fig. 2 only contains one unfolding event per label. In general several events in the unfolding can have the same label, and our technique handles that general case.
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References
Adriansyah, A.: Aligning observed and modeled behavior. Ph.D. thesis, Technische Universiteit Eindhoven (2014)
Armas-Cervantes, A., Baldan, P., Dumas, M., García-Bañuelos, L.: Behavioral comparison of process models based on canonically reduced event structures. In: Sadiq, S., Soffer, P., Völzer, H. (eds.) BPM 2014. LNCS, vol. 8659, pp. 267–282. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-10172-9_17
Bloemen, V., van de Pol, J., van der Aalst, W.M.P.: Symbolically aligning observed and modelled behaviour. In: 18th International Conference on Application of Concurrency to System Design, ACSD, Bratislava, Slovakia, 25–29 June, pp. 50–59 (2018)
Bloemen, V., van Zelst, S.J., van der Aalst, W.M.P., van Dongen, B.F., van de Pol, J.: Maximizing synchronization for aligning observed and modelled behaviour. In: Weske, M., Montali, M., Weber, I., vom Brocke, J. (eds.) BPM 2018. LNCS, vol. 11080, pp. 233–249. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-98648-7_14
Carmona, J., van Dongen, B., Solti, A., Weidlich, M.: Conformance Checking - Relating Processes and Models. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-99414-7
de Leoni, M., Marrella, A.: Aligning real process executions and prescriptive process models through automated planning. Expert Syst. Appl. 82, 162–183 (2017)
Esparza, J., Römer, S., Vogler, W.: An improvement of McMillan’s unfolding algorithm. Form. Methods Syst. Des. 20(3), 285–310 (2002)
Khomenko, V., Koutny, M.: Towards an efficient algorithm for unfolding Petri nets. In: Larsen, K.G., Nielsen, M. (eds.) CONCUR 2001. LNCS, vol. 2154, pp. 366–380. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-44685-0_25
Khomenko, V., Koutny, M., Vogler, W.: Canonical prefixes of Petri net unfoldings. Acta Inf. 40(2), 95–118 (2003)
Leemans, S.J.J., Fahland, D., van der Aalst, W.M.P.: Scalable process discovery and conformance checking. Softw. Syst. Model. 17(2), 599–631 (2018)
Munoz-Gama, J., Carmona, J., Van Der Aalst, W.M.P.: Single-entry single-exit decomposed conformance checking. Inf. Syst. 46, 102–122 (2014)
(Jorge) Munoz-Gama, J.: Conformance checking in the large (BPM 2013) (2013)
Reißner, D., Conforti, R., Dumas, M., La Rosa, M., Armas-Cervantes, A.: Scalable conformance checking of business processes. In: Panetto, H., et al. (eds.) OTM 2017. LNCS, vol. 10573, pp. 607–627. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-69462-7_38
Rozinat, A., van der Aalst, W.M.P.: Conformance checking of processes based on monitoring real behavior. Inf. Syst. 33(1), 64–95 (2008)
Taymouri, F.: Light methods for conformance checking of business processes. Ph.D. thesis, Universitat Politècnica de Catalunya (2018)
Taymouri, F., Carmona, J.: Model and event log reductions to boost the computation of alignments. In: Ceravolo, P., Guetl, C., Rinderle-Ma, S. (eds.) SIMPDA 2016. LNBIP, vol. 307, pp. 1–21. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-74161-1_1
Taymouri, F., Carmona, J.: A recursive paradigm for aligning observed behavior of large structured process models. In: La Rosa, M., Loos, P., Pastor, O. (eds.) BPM 2016. LNCS, vol. 9850, pp. 197–214. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-45348-4_12
Torras, C.: Relaxation and neural learning: points of convergence and divergence. J. Parallel Distrib. Comput. 6, 217–244 (1989)
van der Aalst, W.M.P.: Decomposing Petri nets for process mining: a generic approach. Distrib. Parallel Databases 31(4), 471–507 (2013)
Dongen, B.F.: Efficiently computing alignments. In: Weske, M., Montali, M., Weber, I., vom Brocke, J. (eds.) BPM 2018. LNCS, vol. 11080, pp. 197–214. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-98648-7_12
van Dongen, B., Carmona, J., Chatain, T., Taymouri, F.: Aligning modeled and observed behavior: a compromise between computation complexity and quality. In: Dubois, E., Pohl, K. (eds.) CAiSE 2017. LNCS, vol. 10253, pp. 94–109. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-59536-8_7
Weidlich, M., Elliger, F., Weske, M.: Generalised computation of behavioural profiles based on Petri-net unfoldings. In: Bravetti, M., Bultan, T. (eds.) WS-FM 2010. LNCS, vol. 6551, pp. 101–115. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-19589-1_7
Weidlich, M., Mendling, J., Weske, M.: Efficient consistency measurement based on behavioral profiles of process models. IEEE Trans. Softw. Eng. 37(3), 410–429 (2011)
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This work has been supported by MINECO and FEDER funds under grant TIN2017-86727-C2-1-R.
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Padró, L., Carmona, J. (2019). Approximate Computation of Alignments of Business Processes Through Relaxation Labelling. In: Hildebrandt, T., van Dongen, B., Röglinger, M., Mendling, J. (eds) Business Process Management. BPM 2019. Lecture Notes in Computer Science(), vol 11675. Springer, Cham. https://doi.org/10.1007/978-3-030-26619-6_17
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