scholarly journals Perpetual Free-choice Petri Nets are Lucent Proof of a Theorem of van der Aalst Using CP-exhaustions

2021 ◽  
Vol 182 (4) ◽  
pp. 363-393
Author(s):  
Joachim Wehler

Van der Aalst’s theorem is an important result for the analysis and synthesis of process models. The paper proves the theorem by exhausting perpetual free-choice Petri nets by CP-subnets. The resulting T-systems are investigated by elementary methods.

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 105132-105145
Author(s):  
Wentai Zheng ◽  
Yuyue Du ◽  
Shouguang Wang ◽  
Liang Qi

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Cong Liu ◽  
Huiling Li ◽  
Qingtian Zeng ◽  
Ting Lu ◽  
Caihong Li

To support effective emergency disposal, organizations need to collaborate with each other to complete the emergency mission that cannot be handled by a single organization. In general, emergency disposal that involves multiple organizations is typically organized as a group of interactive processes, known as cross-organization emergency response processes (CERPs). The construction of CERPs is a time-consuming and error-prone task that requires practitioners to have extensive experience and business background. Process mining aims to construct process models by analyzing event logs. However, existing process mining techniques cannot be applied directly to discover CERPs since we have to consider the complexity of various collaborations among different organizations, e.g., message exchange and resource sharing patterns. To tackle this challenge, a CERP model mining method is proposed in this paper. More specifically, we first extend classical Petri nets with resource and message attributes, known as resource and message aware Petri nets (RMPNs). Then, intra-organization emergency response process (IERP) models that are represented as RMPNs are discovered from emergency drilling event logs. Next, collaboration patterns among emergency organizations are formally defined and discovered. Finally, CERP models are obtained by merging IERP models and collaboration patterns. Through comparative experimental evaluation using the fire emergency drilling event log, we illustrate that the proposed approach facilitates the discovery of high-quality CERP models than existing state-of-the-art approaches.


2020 ◽  
Vol 110 ◽  
pp. 100426
Author(s):  
S. Akshay ◽  
Loïc Hélouët ◽  
Ramchandra Phawade
Keyword(s):  

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 53796-53810 ◽  
Author(s):  
Xize Zhang ◽  
Yuyue Du ◽  
Liang Qi ◽  
Haichun Sun
Keyword(s):  

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 29926-29939 ◽  
Author(s):  
Xize Zhang ◽  
Yuyue Du ◽  
Liang Qi ◽  
Haichun Sun
Keyword(s):  

1996 ◽  
Vol 41 (12) ◽  
pp. 1751-1778 ◽  
Author(s):  
F. Baccelli ◽  
S. Foss ◽  
B. Gaujal

Author(s):  
Pnina Soffer ◽  
Maya Kaner ◽  
Yair Wand

A common way to represent organizational domains is the use of business process models. A Workflow-net (WF-net) is an application of Petri Nets (with additional rules) that model business process behavior. However, the use of WF-nets to model business processes has some shortcomings. In particular, no rules exist beyond the general constraints of WF-nets to guide the mapping of an actual process into a net. Syntactically correct WF-nets may provide meaningful models of how organizations conduct their business processes. Moreover, the processes represented by these nets may not be feasible to execute or reach their business goals when executed. In this paper, the authors propose a set of rules for mapping the domain in which a process operates into a WF-net, which they derived by attaching ontological semantics to WF-nets. The rules guide the construction of WF-nets, which are meaningful in that their nodes and transitions are directly related to the modeled (business) domains. Furthermore, the proposed semantics imposes on the process models constraints that guide the development of valid process models, namely, models that assure that the process can accomplish its goal when executed.


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