As shown below, any process design changes can be pushed to the sleeping process instance(s).
On the Process Instances page, select the process from the table and click on the Utils - Update - Design menu option.
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A popup window is displayed for confirmation. The application collates all design changes to push to the sleeping process instance (related to the definition). You can click OK to proceed.
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The design changes have been updated successfully with an alert notification, as shown below.
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Note: The values passed to Variables/Globals to a process instance through API are retained by default, regardless of whether the values are correct.