A Time-Aware Method to Process Behavioral Similarity Calculation

Process behavioral similarity calculation is widely used in many activities of business process management, such as process mining, process clustering and process retrieval. However, most existing process behavioral similarity measurement methods do not consider variable constraints (e.g. time constraints) in process models. Since the variable constraints of tasks, especially time constraints, are crucial to quantify the differences between the executions of tasks with the same or similar labels in process models, it is significant to calculate exact process behavioral similarity with the consideration of their impacts in process models. In this paper, we formally define the process behavioral similarity with time constraints and propose a time-aware method to efficiently compute the process behavioral similarity based on the ordering relations with time constraints. Experiments illustrate that our proposal can significantly improve the rationality and accuracy of process behavioral similarity measurement.

[1]  Jianmin Wang,et al.  A workflow net similarity measure based on transition adjacency relations , 2010, Comput. Ind..

[2]  Dekang Lin,et al.  An Information-Theoretic Definition of Similarity , 1998, ICML.

[3]  Tadao Murata,et al.  Petri nets: Properties, analysis and applications , 1989, Proc. IEEE.

[4]  Tao Jin,et al.  Computing Refined Ordering Relations with Uncertainty for Acyclic Process Models , 2014, IEEE Transactions on Services Computing.

[5]  Mike Wright,et al.  Petri net-based modelling of workflow systems: An overview , 2001, Eur. J. Oper. Res..

[6]  Marc Ehrig,et al.  Measuring Similarity between Semantic Business Process Models , 2007, APCCM.

[7]  Jianmin Wang,et al.  CFS: A Behavioral Similarity Algorithm for Process Models Based on Complete Firing Sequences , 2014, OTM Conferences.

[8]  Silvana Quaglini,et al.  A knowledge-intensive approach to process similarity calculation , 2015, Expert Syst. Appl..

[9]  Antti Valmari,et al.  The State Explosion Problem , 1996, Petri Nets.

[10]  Daniela Grigori,et al.  Behavioral matchmaking for service retrieval: application to conversation protocols , 2006, BDA.

[11]  Zaiwen Feng,et al.  Efficient and Exact Query of Large Process Model Repositories in Cloud Workflow Systems , 2018, IEEE Transactions on Services Computing.

[12]  Remco M. Dijkman,et al.  Similarity of business process models: Metrics and evaluation , 2011, Inf. Syst..

[13]  Hans-Arno Jacobsen,et al.  Static and Dynamic Process Change , 2018, IEEE Transactions on Services Computing.

[14]  Yinglong Ma,et al.  A graph distance based metric for data oriented workflow retrieval with variable time constraints , 2014, Expert Syst. Appl..

[15]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[16]  Mathias Weske,et al.  Process compliance analysis based on behavioural profiles , 2011, Inf. Syst..

[17]  Mathias Weske,et al.  Generalised Computation of Behavioural Profiles Based on Petri-Net Unfoldings , 2010, WS-FM.

[18]  Yinglong Ma,et al.  Measuring Semantic and Structural Information for Data Oriented Workflow Retrieval with Cost Constraints , 2014 .

[19]  Wen Lijie,et al.  SSDT matrix-based behavioral similarity algorithm for process models , 2013 .

[20]  A. H. Lipkus A proof of the triangle inequality for the Tanimoto distance , 1999 .

[21]  Jan Mendling,et al.  Process Compliance Measurement Based on Behavioural Profiles , 2010, CAiSE.

[22]  Wil M. P. van der Aalst,et al.  Quantifying process equivalence based on observed behavior , 2008, Data Knowl. Eng..

[23]  Roque Marín,et al.  Temporal similarity measures for querying clinical workflows , 2009, Artif. Intell. Medicine.

[24]  Mathias Weske,et al.  Efficient Consistency Measurement Based on Behavioral Profiles of Process Models , 2011, IEEE Transactions on Software Engineering.

[25]  Jianmin Wang,et al.  A Behavioral Similarity Measure between Labeled Petri Nets Based on Principal Transition Sequences - (Short Paper) , 2010, OTM Conferences.

[26]  Mathias Weske,et al.  Behavioral Similarity - A Proper Metric , 2011, BPM.