Optimization of Project Portfolio Selection Considering Interactions Among Multiple Projects

In conditions of capital constraints, a single-objective nonlinear 0-1 integer programming model is proposed based on grey theory. First, application of Grey Theory deals with uncertainty of attribute weights’ values given by experts and projects’ scores under different attributes. Second, we construct two multi-attribute utility objective functions by comparing situations of considering interactions and without interactions, and two new multi-project portfolio optimization models are established. Finally, a numerical example illustrates effectiveness and practicality of the proposed model