In water distribution system (WDS), chlorine is often injected as disinfectant to control the growth of microorganism in WDS. However, the chlorine reacts with organism to form disinfectant byproduct, which can bring risk to human health. As such, the chlorine at nodes in WDS should be kept between acceptable range, which is simulated based on the response at nodes corresponding to unit injection mass at boosters. To deal with the uncertainty in chlorine decay process and lower and upper chlorine concentration limits, an inexact left-hand-side chance-constrained programming (ILCCP) model was proposed in this paper and applied to two WDSs. The response coefficients matrix was expressed as random variables with normal probability distribution in the constraints of lower and upper limits, which was obtained through Monte Carlo simulation by linking with EPANET software. The intervals of injection mass were obtained by solving the ILCCP model with a two-step algorithm. Moreover, the effects of random bulk decay coefficients and interval of chlorine limits on the injection mass were analyzed and compared. The results indicated that the lower bounds of optimal injection mass increased with the rise of probability lever for lower limits, while the upper bounds decreased with the rise of the probability level for upper limits. The results can help managers determine the chlorine injection mass under uncertain scenarios, and can be applied to more complicated WDS to obtain meaningful results.

在配水系统 (WDS) 中，经常注入氯作为消毒剂，以控制 WDS 中微生物的生长。然而，氯与有机体反应形成消毒剂副产物，这会给人体健康带来风险。因此，WDS 中节点处的氯应保持在可接受的范围内，这是基于对应于增压器单位注入质量的节点处的响应进行模拟的。为了处理氯衰减过程中的不确定性和氯浓度上下限，本文提出了一种不精确的左侧机会约束规划（ILCCP）模型，并将其应用于两个 WDS。响应系数矩阵表示为在下限和上限约束下具有正态概率分布的随机变量，它是通过与 EPANET 软件链接通过蒙特卡罗模拟获得的。注入质量的间隔是通过用两步算法求解 ILCCP 模型获得的。此外，分析和比较了随机体积衰减系数和氯限制区间对注入质量的影响。结果表明，最优注射质量的下限随着下限概率水平的升高而增大，而上限随着上限概率水平的升高而减小。结果可以帮助管理人员确定不确定场景下的氯注入质量，并且可以应用于更复杂的 WDS 以获得有意义的结果。分析和比较了随机体积衰减系数和氯限制区间对注入质量的影响。结果表明，最优注射质量的下限随着下限概率水平的升高而增大，而上限随着上限概率水平的升高而减小。结果可以帮助管理人员确定不确定场景下的氯注入质量，并且可以应用于更复杂的 WDS 以获得有意义的结果。分析和比较了随机体积衰减系数和氯限制区间对注入质量的影响。结果表明，最优注射质量的下限随着下限概率水平的升高而增大，而上限随着上限概率水平的升高而减小。结果可以帮助管理人员确定不确定场景下的氯注入质量，并且可以应用于更复杂的 WDS 以获得有意义的结果。