robust probabilistic programming

Optimizing time, cost, quality and risk are the four main factors in gas project management. By considering the significance of gas projects in the country's gas development as one of the top sources of revenue and economic advantages, efficient and targeted management in gas distribution network projects implementation is believed essential. The objective of this research is to develop a multi-objective robust probabilistic programming model using the improved ε - constraint method while adhering to the objectives of minimizing time, cost and risk functions and maximizing the expected quality function. To this end, a sample size of 36 experts and specialists in the gas industry has been selected. The results of this research enable gas project managers to select the best solution among various scenarios based on effective management with different values between the four objective functions of time, cost, quality and risk, thus achieving strong optimization. Additionally, the results indicate that the two objective functions derived from the Improved ε - constraint method have 99% confidence in better exploring the problem-solving space in producing superior solutions and Pareto charts of the risk and quality objective functions exhibit the optimal solution. The findings demonstrate the accuracy of the model and the efficiency of the proposed method.