Solve the problem of time-cost-quality exchange of projects in the possible case by considering possible solutions

Time-cost-quality trade-off project scheduling problem is one of the most important and practical problems in project management discipline. Project Managers interest in making decisions to accomplish the project with minimum cost, minimum time, and maximum quality. Unfortunately, in real life problems, the estimation of time, cost, and quality may be mixed with uncertainty. These parameters may be far from their estimated values. So, considering uncertain parameters in time-cost-quality project scheduling is essential. In this paper, a probabilistic version of time-cost-quality trade –off problem is proposed. Some parameters of the proposed model are assumed to be probabilistic. The probabilistic nature of the proposed model is handled using stochastic chance constraint programming. The multi-objective nature of the problem is handled using goal programming. Finally, the stochastic chance constraint goal programming is proposed. The deterministic equivalence of proposed stochastic model is presented. A numerical example is analyzed using GAMS software and results are investigated.