فهرست نشریات علمی دسترسی آزاد ایران

This article presents an innovative formulation for the bi-objective problem of project portfolio selection and scheduling. The first objective is to maximize the profit of the project portfolio by considering the aggregated cost impacts of risks on project activities. The second objective aims to minimize the implementation time of the project portfolio. The objective functions are developed using the Bayesian Networks approach to assess the expected impacts of risks and their interactions. Current mathematical formulations for the integrated problem of project portfolio selection and scheduling have significant limitations, such as the lack of incorporation of risk factors and their interdependencies within and across projects, affecting the duration and cost of activities. These impacts are crucial factors in project selection and scheduling. Therefore, this study develops a mixed-integer Linear Programming (LP) model to formulate the problem. Given that these formulations offer multi-objective mathematical modelling, augmented ε-Constraint Programming (CP) is utilized to solve the proposed model. The proposed model and solution approach are applied to sample instances for validation. The numerical results show that the exact augmented -constraint method has generated valid and efficient solutions, making it suitable for strategic organizational decisions in project selection.