Merveilleuses parures: 60 bijoux originaux en perles de by Dominique Hervé

By Dominique Hervé

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The result has a simple characterization in terms of canonical fragments. In the second part of the paper, we have shown how the RPST technique gives rise to a decomposition of any workflow graph that may occur in practice. The only remaining assumption is that each node must be on a path from some source to some sink. 40 A. Polyvyanyy, J. Vanhatalo, and H. V¨olzer We have implemented the simplified RPST computation, as proposed in this paper, and tested its functionally against the implementation of the original RPST technique [1] on the SAP reference model [17], which consists of 604 EPC models.

A mapping maps a set F of edges of G¼ to a set (F) of edges of G by (F) FÒ e. 2. A mapping maps a set of edges H of G to a set (H) of edges of G¼ by (H) H e if H has an incoming edge to x as well as an outgoing edge from x, and otherwise (H) H. Now, we claim: and e be defined as above. We have: Lemma 4. Let 1. If F ¸ e is a fragment of G¼ , then (F) is a fragment of G. 2. If H is a fragment of G, then (H) is a fragment of G¼ . 3. If F ¸ e is a canonical fragment of G¼ , then (F) is a canonical fragment of G.

Originally, the RPST was applicable only to graphs with a single source and single sink such that the completed version of the graph is biconnected. We lift both restrictions. Therefore, the RPST is then applicable to arbitrary directed graphs such that every node is on a path from some source to some sink. This includes graphs with multiple sources and»or sinks and disconnected graphs. 1 Introduction Companies widely use business process modeling for documenting their operational procedures. Business analysts develop process models by decomposing business scenarios into business activities and defining their logical and temporal dependencies.

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