A mathematical programming model was proposed to optimize a batch water-using system with wastewater reuse and centralized treatment in coordination.In order to achieve an optimal operation in the repeated cycle under multiple cycles

a back-calculation strategy was proposed to dampen fluctuations of residual water and contaminant concentrations in buffer tanks.Optimal water-using schemes could be obtained for different operating cycles.A case study of a batch water-using system with a single contaminant was used to illustrate the effectiveness of the proposed method.It provided insight into the design and operation of the batch water-using system with centralized treatment running from start-up to steady state during multiple operating cycles.