In Jordan, the waste collection process incurs high transportation and operation costs. The main reasons for the high transportation costs are inefficient clustering and poor routing systems. In response, this research proposes a mathematical model for optimal clustering of garbage containers or bins (referred to as customers) for solid waste collection. The model’s objective function is to define the customers of each cluster such that the transportation costs within each cluster and between the hubs and depots are minimized, and the satisfaction of the clusters’ demand mean and variance is maximized. The optimization model was illustrated on solid waste collection for 20 customers, where the results showed that the proposed model is found to be effective in optimizing the waste collection process. In practice, this approach can be utilized in waste management for planning waste collection processes with minimal transportation costs while maximizing operational capacity.

在约旦，废物收集过程会产生高昂的运输和运营成本。运输成本高的主要原因是低效的集群和糟糕的路由系统。作为回应，本研究提出了一种数学模型，用于优化固体废物收集的垃圾容器或垃圾箱（称为客户）的聚类。该模型的目标函数是定义每个集群的客户，使得每个集群内部以及枢纽和仓库之间的运输成本最小，集群需求均值和方差的满足度最大化。针对 20 个客户的固体废物收集对优化模型进行了说明，结果表明所提出的模型在优化废物收集过程中是有效的。在实践中，