This paper presents an optimization framework to design an intensified and integrated residential complex that involves satisfying demands and using wastes. The problem is addressed by evaluating distinct allocation schemes (social welfare, Rawlsian welfare, Nash, and Rawlsian-Nash allocation) to identify solutions when the objective functions are considered as stakeholders of the system. To find the optimal design of the complex with the minimum amount of resources, the minimization of the total cost, the freshwater consumption, and the generated emissions are included as objective functions. To fulfill demands (water, electricity, heating, and cooling) and treat the generated wastes, distinct alternatives are considered, such as rainwater harvesting, water treatment and recycling, cogeneration, gasification of solid wastes, and algae cultivation. The resulting formulations are mixed-integer linear and mixed-integer nonlinear programming models. The applicability of the formulation was demonstrated through a case study of a residential complex in Mexico. Results show several optimal solutions that favor distinct stakeholders depending on the evaluated scheme. We also find that the only scheme that gives preference to two objectives is the Nash formulation. When specific weights for the objectives were included, alternative allocations guided simultaneously by the weighting factor and the scheme are found as well.

本文提出了一个优化框架，用于设计集约化和综合化的住宅小区，其中涉及满足需求和使用废物。通过评估不同的分配方案（社会福利，罗尔斯福利，纳什和罗尔斯·纳什分配）来解决该问题，以在目标功能被视为系统的涉众时识别解决方案。为了找到资源最少的综合体的最佳设计，将总成本，淡水消耗和产生的排放量的最小化作为目标函数包括在内。为了满足需求（水，电，供暖和冷却）并处理产生的废物，考虑了不同的替代方案，例如雨水收集，水处理和回收，热电联产，固体废物的气化和藻类种植。所得公式为混合整数线性和混合整数非线性规划模型。通过对墨西哥某住宅小区的案例研究证明了该配方的适用性。结果显示了几种最佳解决方案，它们取决于评估的方案，有利于不同的涉众。我们还发现，唯一优先考虑两个目标的方案是纳什公式。当包括目标的特定权重时，还可以找到由权重因子和方案同时指导的替代分配。结果显示了几种最佳解决方案，它们取决于评估的方案，有利于不同的涉众。我们还发现，唯一优先考虑两个目标的方案是纳什公式。当包括目标的特定权重时，还可以找到同时由加权因子和方案指导的替代分配。结果显示了几种最佳解决方案，它们取决于评估的方案，有利于不同的涉众。我们还发现，唯一优先考虑两个目标的方案是纳什公式。当包括目标的特定权重时，还可以找到同时由加权因子和方案指导的替代分配。