Abstract
We investigate the problem of ranking all process models in a repository according to their similarity with respect to a given process model. We focus specifically on the application of graph matching algorithms to this similarity search problem. Since the corresponding graph matching problem is NP-complete, we seek to find a compromise between computational complexity and quality of the computed ranking. Using a repository of 100 process models, we evaluate four graph matching algorithms, ranging from a greedy one to a relatively exhaustive one. The results show that the mean average precision obtained by a fast greedy algorithm is close to that obtained with the most exhaustive algorithm.
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van der Aalst, W.M.P., de Medeiros, A.K.A., Weijters, A.J.M.M.T.: Process equivalence: Comparing two process models based on observed behavior. In: Dustdar, S., Fiadeiro, J.L., Sheth, A.P. (eds.) BPM 2006. LNCS, vol. 4102, pp. 129–144. Springer, Heidelberg (2006)
Ambauen, R., Fischer, S., Bunke, H.: Graph edit distance with node splitting and merging, and its application to diatom identification. In: Hancock, E.R., Vento, M. (eds.) GbRPR 2003. LNCS, vol. 2726, pp. 259–264. Springer, Heidelberg (2003)
Buckley, C., Voorhees, E.M.: Evaluating evaluation measure stability. In: Proc. of the ACM SIGIR Conference, pp. 33–40 (2000)
Bunke, H.: On a relation between graph edit distance and maximum common subgraph. Pattern Recognition Letters 18(8), 689–694 (1997)
Dijkman, R.M., Dumas, M., van Dongen, B.F., Käärik, R., Mendling, J.: Similarity of business process models: Metrics and evaluation. Working Paper 269, BETA Research School, Eindhoven, The Netherlands (2009)
Documentair structuurplan, http://www.model-dsp.nl/ (accessed: Feburary 20, 2009)
Ehrig, M., Koschmider, A., Oberweis, A.: Measuring similarity between semantic business process models. In: Proc. of APCCM 2007, pp. 71–80 (2007)
Grigori, D., Corrales, J.C., Bouzeghoub, M.: Behavioral matchmaking for service retrieval: Application to conversation protocols. Inf. Syst. 33(7-8), 681–698 (2008)
Levenshtein, I.: Binary code capable of correcting deletions, insertions and reversals. Cybernetics and Control Theory 10(8), 707–710 (1966)
Li, C., Reichert, M.U., Wombacher, A.: On measuring process model similarity based on high-level change operations. Technical Report TR-CTIT-07-89, CTIT, Enschede, The Netherlands (2007)
Lu, R., Sadiq, S.K.: On the discovery of preferred work practice through business process variants. In: Parent, C., Schewe, K.-D., Storey, V.C., Thalheim, B. (eds.) ER 2007. LNCS, vol. 4801, pp. 165–180. Springer, Heidelberg (2007)
Madhusudan, T., Zhao, L., Marshall, B.: A case-based reasoning framework for workflow model management. Data Knowl. Eng. 50(1), 87–115 (2004)
Melnik, S., Garcia-Molina, H., Rahm, E.: Similarity flooding: A versatile graph matching algorithm and its application to schema matching. In: Proc. of ICDE 2002, pp. 117–128 (2002)
Messmer, B.: Efficient Graph Matching Algorithms for Preprocessed Model Graphs. PhD thesis, University of Bern, Switzerland (1995)
Minor, M., Tartakovski, A., Bergmann, R.: Representation and structure-based similarity assessment for agile workflows. In: Weber, R.O., Richter, M.M. (eds.) ICCBR 2007. LNCS (LNAI), vol. 4626, pp. 224–238. Springer, Heidelberg (2007)
Nejati, S., Sabetzadeh, M., Chechik, M., Easterbrook, S., Zave, P.: Matching and merging of statecharts specifications. In: Proc. of ICSE 2007, pp. 54–63 (2007)
Neuhaus, M., Bunke, H.: An error-tolerant approximate matching algorithm for attributed planar graphs and its application to fingerprint classification. In: Fred, A., Caelli, T.M., Duin, R.P.W., Campilho, A.C., de Ridder, D. (eds.) SSPR&SPR 2004. LNCS, vol. 3138, pp. 180–189. Springer, Heidelberg (2004)
Rosemann, M.: Potential pitfalls of process modeling: part a. Business Process Management Journal 12(2), 249–254 (2006)
van Dongen, B.F., Dijkman, R., Mendling, J.: Measuring similarity between business process models. In: Bellahsène, Z., Léonard, M. (eds.) CAiSE 2008. LNCS, vol. 5074, pp. 450–464. Springer, Heidelberg (2008)
Weske, M.: Business Process Management: Concepts, Languages, Architectures. Springer, Berlin (2007)
Wombacher, A.: Evaluation of technical measures for workflow similarity based on a pilot study. In: Meersman, R., Tari, Z. (eds.) OTM 2006. LNCS, vol. 4275, pp. 255–272. Springer, Heidelberg (2006)
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Dijkman, R., Dumas, M., García-Bañuelos, L. (2009). Graph Matching Algorithms for Business Process Model Similarity Search. In: Dayal, U., Eder, J., Koehler, J., Reijers, H.A. (eds) Business Process Management. BPM 2009. Lecture Notes in Computer Science, vol 5701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03848-8_5
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DOI: https://doi.org/10.1007/978-3-642-03848-8_5
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