This paper discusses formal modeling and performance evaluation for a type of dynamic change of workflow, called Migrate. Workflow means the flow of work and is designed to process similar instances, called cases. Companies need to continuously refine their current workflow in order to adapt them to various requirements. The change of a current workflow is called dynamic change of the workflow. Before changing a workflow, there exist cases in the workflow. If these cases are ignored or fall into deadlock, the changed workflow would become inconsistent. Since Ellis et al. proposed three change types, Flush, Abort, and Synthetic Cut-Over that keep consistency of workflows in 1995, various change types have been proposed, in which there is a promising change type called Migrate that is proposed by Sadiq et al. Sadiq et al. proposed the concept of Migrate, but did not give a formal model of Migrate. Meanwhile, we have proposed a measure, called change time, in order to evaluate dynamic change of workflows, and used this measure to evaluate the performance on change time for Ellis et al. 's three change types. However, the performance evaluation on change time for Migrate has not been done. In this paper, we first give a Petri-nets-based model of Migrate. Then we present a method of computing change time based on the net model. Finally, we apply the method to 270 examples and show the comparison results between Migrate and Ellis et al. 's three change types.

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.