| Project portfolio selection is an important content of project portfolio management.It determines which projects to conduct and how to divide the resources. Projectportfolio management is a process of resource allocation, portfolio selection andproject management. It highlights the interdependences among project,resource-sharing, the company’s overall strategy. Wrong project portfolio selectionincreases the resource waste and may lead to catastrophic results. Therefore, a correctproject portfolio selection is an issue of crucial importance to companies.Many works have studied the project portfolio selection problem but they didn’ttake interdependencies among projects into account. Some scholars consideredinterdependencies between two projects but didn’t solve the problem when it comes tointerdependencies among three or more projects. They add interdependence value intothe model repeatedly and lead to wrong decision.The thesisintroduces Gaussian function and the principle of inclusion-exclusion andproposes an improved project portfolio selection model which considers complexinterdependencies among three or more projects. At first, we deal with the problem inwhich there is only inclusion relationship among project portfolios. Then we changemore complicatedrelationship into inclusion relationship and build the model. We useP-ACO to solve the model and the analysisof the numerical example illustrates theeffectiveness of the model and the algorithm. |
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