The vast majority of decision-making approaches used for long-term planning of municipal solid waste management systems (LPMSWMS) are ground on scenario-based structures. However, the scenario-based structures may overlook many real-world possibilities because of their restricted mass balances. This study is the first attempt to review the current state of optimization models, which are used as a decision-making approach for LPMSWMS, by focusing on the mass balances. In line with this purpose, 146 peer-reviewed articles were examined based on a new literature evaluation scheme. According to the findings, it can be stated that a significant majority of the articles offer non-deterministic optimization models dealing with the uncertain nature of the LPMSWMS problems. Considering all optimization models examined in the study, most of the model formulations have linear mathematical forms in terms of objective and constraint functions. However, it is quite interesting that none of the models produced solutions for a management system alternative with an integrated (non-restricted) mass balance. Accordingly, it is very questionable whether the results obtained from the current models have the power to give the most suitable solution for an up-to-date management system. As a result of the review, it is highly recommended that the optimization models to be conducted for the LPMSWMS in the future should search for new mathematical approaches considering the integrated mass balances under certainty and/or uncertainty.

中文翻译：

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城市固体废物管理系统长期规划的优化模型：以质量平衡为重点的回顾

用于城市固体废物管理系统（LPMSWMS）长期规划的绝大多数决策方法都是基于基于场景的结构。然而，由于其有限的质量平衡，基于场景的结构可能会忽略许多现实世界的可能性。本研究是首次尝试通过关注质量平衡来回顾优化模型的当前状态，优化模型被用作 LPMSWMS 的决策方法。为此，我们根据新的文献评估方案对 146 篇同行评审文章进行了审查。根据研究结果，可以说绝大多数文章都提供了处理 LPMSWMS 问题的不确定性的非确定性优化模型。考虑到研究中检查的所有优化模型，大多数模型公式在目标函数和约束函数方面都具有线性数学形式。然而，非常有趣的是，没有一个模型为具有集成（非限制）质量平衡的管理系统替代方案提供解决方案。因此，从当前模型获得的结果是否能够为最新的管理系统提供最合适的解决方案是非常值得怀疑的。根据审查结果，强烈建议未来对 LPMSWMS 进行的优化模型应寻找新的数学方法，考虑确定性和/或不确定性下的综合质量平衡。