Optimal design and operation for supply chain system of multi-state natural gas under uncertainties of demand and purchase price.

•An uncertainty optimization approach for multi-state natural gas supply chain is presented.•The model considers 4 seasons, 3 states of natural gas and 4 transport carriers.•The detailed seasonal storage and transportation plan can be obtained.•This paper analyzes the impact of uncertainty parameters on model.•A real example of China testifies the practicality of the method.