In this study, a simple but efficient bilevel multiobjective model (BLMOM) has been formulated for the optimal allocation of available water (AW) among competing water users. Upper-level decision makers (DMs), being the leader in the hierarchy (i.e., river authorities), allocate AW to lower-level DMs (i.e., canal authorities) based on equity and stability, whereas lower-level DMs allocate AW among competing users based on two single- and one multiobjective functions. The first objective function (OF₁) maximizes the satisfaction rate (SR) of various water users, whereas the second objective function (OF₂) maximizes the net economic benefits (NEB). The multiobjective function (OF₁₂) maximizes the combined effect of the first two single objectives. The multiobjective function has been solved by using the simultaneous compromise constraint (SICCON) technique which creates a compromise between single-objective functions. The model was applied at Taunsa Barrage, Pakistan, for the optimal allocation of AW. Various scenarios were analyzed by varying priorities assigned to different objective functions and water users to evaluate the model applicability under various conditions. When OF₁ was considered, maximum SR of 61% was achieved. In case of priority given to OF₂, maximum NEB of 77 million USD was attained. However, in the case of OF₁₂, both SR and NEB were maximized, whereas wheat, cotton, sugarcane, rice, onion and sunflower water users attained NEB of 14.36, 5.03, 22.96, 27.85, 1.34 and 0.13 million USD, respectively, with overall NEB of 72 million USD against satisfaction rate of 52%.

在这项研究中，一个简单而有效的双层多目标模型（BLMOM）已被制定出来，用于在竞争用水者之间最佳地分配可用水（AW）。上级决策者（DM），作为层次结构的领导者（即河流主管部门），基于公平性和稳定性将AW分配给下级DM（即运河主管部门），而下级DM则在竞争中分配AW基于两个单目标功能和一个多目标功能的用户。第一个目标函数（OF ₁）最大化各种用水户的满意度（SR），而第二个目标函数（OF ₂）最大化净经济收益（NEB）。多目标函数（OF ₁₂）可最大限度地提高前两个目标的综合效果。多目标函数已通过使用同时折衷约束（SICCON）技术解决，该技术在单目标函数之间产生折衷。该模型已在巴基斯坦Taunsa Barrage进行了应用，以实现AW的最佳分配。通过分配给不同目标功能和用水者的不同优先级来分析各种情况，以评估模型在各种条件下的适用性。当考虑OF ₁时，最大SR达到61％。如果优先考虑OF ₂，则最高NEB为7700万美元。但是，在OF ₁₂的情况下，则SR和NEB均达到最大，而小麦，棉花，甘蔗，水稻，洋葱和向日葵水使用者的NEB分别为14.36、5.03、22.96、27.85、1.34和13万美元，而总NEB为7200万美元率达52％。