A model for optimizing batch schedules of a products pipeline based on the batch-demand mode

For most products pipelines, drafting feasible batch schedules are difficult works that different types of pipelines, different operating modes of stations and many process constraints must be considered. This paper proposes a mixedinteger linear programming(MILP)model using the discrete-time expression for optimizing batch schedules of intermediate stations along a products pipeline that is based on the batch-demand mode. In the MILP model, the objective is to seek the highest stability of pumping rates of all pipeline segments along a pipeline. The constraints, i.e., batch tracking, pumping rate of pipeline segments, delivery and injection of intermediate stations, delivery of the terminal station and demand of stations are comprehensively considered. The proposed MILP model solved by CPLEX is successfully tested on a products pipeline. By setting the discrete time step to be 8 hours, the optimal batch schedules of intermediate stations are achieved. The results show that the batch schedules provided by the proposed MILP have a strong practicability.