Expanded models of the project portfolio selection problem with loss in divisibility

This research develops three new models for the project portfolio selection problem with multiple periods. To reflect some real situations, three loss assumptions are considered for the interruption of project execution for the first time. The mathematical representations of the loss assumptions are provided and proved. Besides, the workload constraint, capital flow constraint, cardinality constraint, and precedence relationship are incorporated into the models. One benchmark example and one real-world application case are used to demonstrate the capability and characteristics of the proposed models.