A fuzzy approach for generalized project selection and scheduling problem with resource management

In this study, the problem of project selection and scheduling with resource management is considered project setup times, dynamic project arrivals, priorities and relationship between projects. A fuzzy multi-objective mixed integer linear programming (MILP) model is proposed for the solution of the problem. The classic two-phase fuzzy goal programming (FGP) approach is modified to solve the proposed multi-objective MILP model. The addressed problem is defined over the project selection and scheduling problem of a construction company. The effect of resource management on the project selection and scheduling problem is demonstrated over the generated test problems. Modified two-phase FGP and classic two-phase FGP approaches are compared over test problems. With the use of the modified two-phase FGP approach, additional alternative solutions are found for the problem.