a possibilistic programming approach for a multi-period project selection problem with interdependency

This paper proposes a mathematical programming model for the project selection to optimize the total expected benefit of projects over a multi-period planning horizon. the problem considers both renewable and non-renewable resource requirements for the selected projects. the available budget for the resources is considered to be limited. the interdependency of the selected projects is also investigated in the model by considering a set of mutually exclusive and complementary alternatives. due to the existence of inexact input parameters in the project selection problem, the proposed model is developed under uncertainty. in order to cope with the uncertainties, an efficient possibilistic programming based on the me measure is implemented. different numerical examples and sensitivity analyses are designed to illustrate the applicability of the proposed model. the result indicates that considering uncertainty in the project selection problem plays a significant role in determining the optimal set of selected projects with more profits.