Background: Increasing environmental pollution has caused global warming and
affected the health of humans and animals. Hence, the issue of greenness has
become particularly important in recent studies.
Aim: Provide a multi-objective mathematical model in a multi-level, multi-
product green supply chain network that minimizes total chain costs,
environmental, and maximizes capacity levels. On the other hand, due to the
uncertainty of the level of demand in the market, there will be uncertainty.
Methodology: This research is practical in terms of purpose and predictive in
terms of data collection. In this research, mathematical modeling has been used. A
comprehensive benchmark approach was used to solve this model. The software
used in this study is GAMS software with CPLEX and LINDO solvers.
Conclusions: In this research, after drawing the problem network and explaining
the mathematical model, its solution was performed by a comprehensive standard
method with p values equal to 1, 2 and 3. The value of the objective function was
calculated with p equal to 1 equal to 0.09. By increasing the value of p, it became
clear that there is no distance between the values of the objective functions and
the ideal answer. Then, the value of decision and binary variables was calculated.
The first plant has the highest capacity to receive water from the first three farms,
the third and fourth. Also, by taking the amount of binary variables, all farms and
factories can carry out production and processing activities.