垃圾站选址问题的数学模型及应用

摘要

The paper first analyzes the impact of the location of the garbage station upon the surrounding residence and then formulates a single-objective mathematical morlel to minimize such impact after studying thoroughly the service ability of the garbage station. Furthermore, it studies the construction and operation costs of the garbage stuation and extends the single-objective model into a duo-objertive one by adding the goal of minimizing the construction and operation costs of the garbage station. Using the software Lingo to work out an algorithm program, the paper solves the model and at the end, through an empirical example, verifies the feasibility and effectiveness of the model and the algorithm.%首先分析了垃圾站选址对周围居民造成的影响,然后在充分考虑垃圾站服务能力的基础上,建立了使垃圾站对周围居民造成影响极小化的单目标选址问题数学模型；进一步分析了垃圾站的建设运营成本,建立了使垃圾站对居民的影响和垃圾站建设运营成本均极小化的双目标选址问题数学模型,并且设计了求解该数学模型的算法,利用Lingo软件编写了算法程序.最后,通过一个具体的实例对模型及算法进行了验证,计算结果证实了利用本模型及算法得到的选址方案的合理性.