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Figure 1: Graphical representation of an inter-organizational process model
Management Coalition, 1998). The activity is a logical and independent piece of work and
the work transition represents a fl ow of a business process among activities. To support
process enactment and role assignment, additional constructs such as an execution rule and
organization structure need to be defi ned (Amghar, 2000; Workfl ow Management Coalition,
1998). However, since the goal of this chapter is process information sharing among different
organizations that focuses on the monitoring of a global process status, we view a process
model as consisting of a number of activities and their associating work transitions.
Figure 1 graphically represents the basic concepts of an inter-organizational process
model. As notations to depict an inter-organizational process model, PM i denotes the i-th
participating local process model and A i,j denotes the j-th activity of PM i . In the two local
process models, PM 1 and PM 2 , constituting the inter-organizational process, the circle denotes
an activity and the solid arrow between circles denotes a trigger that represents the order of
a work transition. The dotted arrow denotes message movement, representing an interaction
between different process models. In addition, PM 1 considers PM 2 as a remote sub-process
and uses a local activity, A 1,3 , to represent the activities of PM 2 . Such an activity is called a
process activity . The message from A 1,3 causes the start of PM 2 ; A 1,3 is suspended during
the execution of PM 2 ; after receiving the returned message from PM 2 , A 1,3 terminates.
Figure 1 also shows fi ve kinds of work transitions, including AND-SPLIT, AND-JOIN,
OR-SPLIT, OR-JOIN, and SERIAL (Leymann, 2000; Workfl ow Management Coalition,
1998). The black dot between solid arrows denotes a discriminator to distinguish AND-JOIN
from OR-JOIN, and AND-SPLIT from OR-SPLIT. Consider the activity A 1,1 as an example
in Figure 1. When A 1,1 terminates, both A 1,2 and A 1,3 follow in parallel (we denote this as
AND-SPLIT ); when both A 1,2 and A 1,3 terminate, A 1,4 follows ( AND-JOIN ). On the other
hand, when A 2,1 terminates, only one activity among A 2,2 and A 2,3 follows ( OR-SPLIT ); when
either A 2,2 or A 2,3 terminates, A 2,4 follows ( OR-JOIN ). When A 2,4 terminates, A 2,5 follows
without any other splitting or joining activities ( SERIAL ).
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