Owing to serious water shortages and frequent water waste, water crises have swept the world and become progressively severe. One major question is how to rationally allocate limited water resources to guarantee daily water requirements and achieve sustainable and coordinated development simultaneously. The combined use of different sources, such as diverted water and local water including reclaimed water, surface and ground water, within a region is an efficacious means to address the imbalance between water supplying and using. Aiming at managing complex uncertainties existing in water resource systems, this paper seeks for a reasonable distribution plan by a multi-objective uncertain chance-constrained programming (MUCCP) approach between multi-water resources and multiple water users. In this model, we adopt an uncertain variable as a new tool to manage the incertitude in parameters. Meanwhile, the likelihood that something will happen is quantified by the uncertain measure. This proposed MUCCP model sets the economic, social and environmental benefits as objectives with capacities of water supply and demand as uncertain chance constraints. Then, the solution to MUCCP model is obtained by solving its crisp equivalent version. Finally, the model is implemented for determination of optimal allocation policy in Handan City, Hebei Province. The results suggest that the MUCCP model could be employed by managers for practical problems to achieve a trade-off between system cost-effectiveness and default risk under uncertainty.

由于严重的水短缺和频繁的水资源浪费，水危机席卷了全世界，并日益严重。一个主要问题是如何合理分配有限的水资源，以保证每日的用水需求，并同时实现可持续和协调发展。区域内不同来源的综合使用，例如分流水和局部水，包括再生水，地表水和地下水，是解决供水和使用之间不平衡的有效手段。为了解决水资源系统中存在的复杂不确定性问题，本文通过多目标水资源和多个用水户之间的多目标不确定机会约束规划（MUCCP）方法寻求合理的分配计划。在这个模型中 我们采用不确定变量作为管理参数不确定性的新工具。同时，不确定因素量化了发生某种事情的可能性。该拟议的MUCCP模型将经济，社会和环境利益设定为目标，而供水和需求的能力则作为不确定的机会约束。然后，通过求解其明文等效版本获得MUCCP模型的解。最后，该模型用于确定河北省邯郸市的最优分配政策。结果表明，经理可以采用MUCCP模型解决实际问题，从而在不确定性下实现系统成本效益与违约风险之间的权衡。不确定因素量化了某事发生的可能性。该拟议的MUCCP模型将经济，社会和环境利益设定为目标，而供水和需求的能力则作为不确定的机会约束。然后，通过求解其明文等效版本获得MUCCP模型的解。最后，该模型用于确定河北省邯郸市的最优分配政策。结果表明，经理可以采用MUCCP模型解决实际问题，从而在不确定性下实现系统成本效益与违约风险之间的权衡。不确定因素量化了某事发生的可能性。该拟议的MUCCP模型将经济，社会和环境利益设定为目标，而供水和需求的能力则作为不确定的机会约束。然后，通过求解其明文等效版本获得MUCCP模型的解。最后，该模型用于确定河北省邯郸市的最优分配政策。结果表明，经理可以采用MUCCP模型解决实际问题，从而在不确定性下实现系统成本效益与违约风险之间的权衡。MUCCP模型的解决方案是通过求解其清晰等效版本而获得的。最后，该模型用于确定河北省邯郸市的最优分配政策。结果表明，经理可以采用MUCCP模型解决实际问题，从而在不确定性下实现系统成本效益与违约风险之间的权衡。MUCCP模型的解决方案是通过求解其清晰等效版本而获得的。最后，该模型用于确定河北省邯郸市的最优分配政策。结果表明，经理可以采用MUCCP模型解决实际问题，从而在不确定性下实现系统成本效益与违约风险之间的权衡。