Solving a multi-objective mathematical model for a Multi-Skilled Project Scheduling Problem by CPLEX solver

A Multi-Skilled Project Scheduling Problem (MSPSP) that is an extension of a Multi-Mode Resource-Constrained Project Scheduling Problem (MM-RCPSP) has been generally presented to schedule a project with staff members as resources. In MSPSP, each activity requires different skills and staff members have various skill levels too. This causes to encounter a huge number of modes while performing activities of a project. This research is focused on a special type of MSPSP known as Multi-Objective Multi-Skilled Project Scheduling Problem (MOMSPSP) which incorporates some new objectives in the MSPSP and develops a multi-objective mixed-integer non-linear programming model for it. The problem is exactly solved for small-sized instances using CPLEX solver. the results are obtained by the CPLEX solver for small size is identified as the super solver for solving the propounded MOMSPSP.