Complexity of highly dynamic environments in which processes operate makes their adaptation difficult to perform. However, adaptation of an in-progress process is an essential requirement for any Business Process Management System (BPMS). So, several contributions have recommended the use of the MAPE-K (Monitor, Analyze, Plan, Execute - Knowledge) control loop from the autonomic computing as a solution to tackle this issue, thus bringing BPMS with self-adaptation capabilities. However, in these contributions, a comprehensive overview of the generic process self-adaptation has been missing. Moreover, faced with the high cost and the difficulty of self-adapting processes, the idea of capitalizing on previous adaptation solutions by implementing reuse techniques is appealing. In this paper, we recommend a hybrid approach to adapt running processes using versions, previous adaptation cases and rules as reuse techniques. Our solution is implemented as an adaptation engine that instantiates the MAPE-K control loop and that can be connected to any BPMN-based BPMS using appropriate adapters. Our adaptation engine is therefore reusable. Finally, we demonstrate the advantages and feasibility of the recommended approach with an example from the crisis domain.