A Multi-Purpose Mathematical Model for Solving Multi-Mode Resource Constrained Project Scheduling Problem(M-RCPSP) and Environmental Effects:Augmented Ε-Constraint Method

Oil, gas and petrochemical industry managers are nowadays preoccupied with finding ways of punctually completing projects while maintaining the highest implementational standards and minimizing financial costs and environmental threats. Reaching a balance among time, cost, quality and environmental effects is a paramount goal for these managers since these goals are contradictory and focus on any of them can lead to changes in the others. The purpose of this applied mathematical research was hence to design an authentic simulated multi-purpose mathematical model that can review and resolve the issue of project scheduling and balancing time, cost, quality and environmental effects in multi-mode projects. Using the GAMS software and CPLEX solver, the Model was validated through Expanded Epsilon Limitation Method and the analytical results of various sensitivities are reported.