Workflow nets are a standard way for modeling and analyzing workflows. There are two aspects in a workflow: definition and instance. In form of workflow nets, a workflow definition and a workflow instance are respectively represented as a net structure and a marking. The correctness of the workflow definition can be checked by using a workflow nets' property, called soundness. On the other hand, the correctness of the workflow instance can be checked by using a Petri nets' well-known property, called reachability. The reachability problem is known to be intractable. In this paper, we have shown that the reachability problem for (i) sound extended free-choice workflow nets with a marking representing one workflow instance or (ii) acyclic well-structured workflow nets with a marking representing one or more workflow instances can be solved in polynomial time.

This paper proposes a new change type for dynamic change of workflows, named Selective Shift. Workflow technology is being introduced in many companies. Workflows are business processes that allow for computerized support. The goal of workflow technology is to process workflow instances, called cases, as efficiently as possible. Companies need to change their workflows in order to adapt them to various requirements. Dynamic change is to change workflows having running cases. The most important issue in dynamic change is how running cases should be handled. Ellis et al. and Sadiq et al. have proposed change types that prescribe how to handle running cases. Their change types handle running cases collectively. If a change type can handle running cases separately, the change type would be more flexible and efficient than the conventional change types. However, there is no any change type that can handle running cases separately. Selective Shift to be proposed can handle running cases separately. We first present the concept and definition of Selective Shift. Then we give a method to handle running cases separately. Furthermore we give methods to handle running cases so that dynamic change becomes most efficient on one evaluation measure, called change time. Finally we compare Selective Shift with the conventional change types on change time by using 270 examples of dynamic change.

Workflow nets (WF-nets for short) are a standard way to automate business processes. Well-Structured WF-nets (WS WF-nets for short) are an important subclass of WF-nets because they have a well-balanced capability to expression power and analysis power. In this paper, we revealed structural and behavioral properties of WS WF-nets. Our results on structural properties are: (i) There is no EFC but non-FC WF-net in WS WF-nets; (ii) A WS WF-net is sound iff it is a van Hee et al.'s ST-net. Our results on behavioral properties are: (i) Any WS WF-net is safe; (ii) Any WS WF-net is separable; (iii) A necessary and sufficient condition on reachability of sound WS WF-net (N,[pIk]). Finally we illustrated the usefulness of the proposed properties with an application example of analyzing workflow evolution.

A workflow net (WF-net for short) is a Petri net which represents a workflow. There are two important subclasses of WF-nets: extended free choice (EFC for short) and well-structured (WS for short). It is known that most actual workflows can be modeled as EFC WF-nets; and acyclic WS is a subclass of acyclic EFC but has more analysis methods. A sound acyclic EFC WF-net may be transformed to an acyclic WS WF-net without changing the observable behavior of the net. Such a transformation is called refactoring. In this paper, we tackled a problem, named acyclic EFC WF-net refactorizability problem, that decides whether a given sound acyclic EFC WF-net is refactorable to an acyclic WS WF-net. We gave two sufficient conditions on the problem, and constructed refactoring procedures based on the conditions. Furthermore, we applied the procedures to a sample workflow, and confirmed usefulness of the procedures for the enhancement of the readability and the analysis power of acyclic EFC WF-nets.

Response property is a kind of liveness property. Response property problem is defined as follows: Given two activities α and β, whenever α is executed, is β always executed after that? In this paper, we tackled the problem in terms of Workflow Petri nets (WF-nets for short). Our results are (i) the response property problem for acyclic WF-nets is decidable, (ii) the problem is intractable for acyclic asymmetric choice (AC) WF-nets, and (iii) the problem for acyclic bridge-less well-structured WF-nets is solvable in polynomial time. We illustrated the usefulness of the procedure with an application example.

Many actual systems, e.g. computer programs, can be modeled as a subclass of Petri nets, called bridge-less workflow nets. For bridge-less workflow nets, we revealed the following properties: (i) any acyclic bridge-less workflow net is free choice; (ii) an acyclic bridge-less workflow net is sound iff it is well-structured; and (iii) any sound bridge-less workflow net is well-structured. We also proposed a necessary and sufficient condition to decide whether a given workflow net is bridge-less, and then constructed a polynomial-time procedure for it.

An organization may have two or more similar workflows as a result of workflow evolutions or mergers and acquisitions. We should grasp the common behavior of those workflows to consolidate the management of them and/or to do business process reengineering. Workflows can be modeled as a particular class of Petri nets, called workflow nets. The common behavior of two or more workflow nets can be represented as a superclass under the behavioral inheritance of those workflow nets. In this paper, we tackled a problem of extracting a superclass from two workflow nets, named Superclass Extraction problem. We first gave a definition of the problem. Next we proposed a procedure to solve the problem on the basis of process mining technique. Then we gave an application of the proposed procedure.

In this paper, we proposed reduction operators of timed Petri net for efficient model checking. Timed Petri nets are used widely for modeling and analyzing systems which include time concept. Analysis of the system can be done comprehensively with model checking, but there is a state-space explosion problem. Therefore, previous researchers proposed reduction methods and translation methods to timed automata to perform efficient model checking. However, there is no reduction method which consider observability and there is a trade-off between the amount of description and the size of state space. In this paper, first, we have defined a concept of timed behavioral inheritance. Next, we have proposed reduction operators of timed Petri nets based on timed behavioral inheritance. Then, we have applied our proposed operators to an artificial timed Petri net. Moreover, the results show that the reduction operators which consider observability can reduce the size of state space of the original timed Petri nets within the experiment.