基于选址效益的联合覆盖模型研究

发布时间：2018-05-14 02:09

  本文选题：联合覆盖 + 最低服务水平　； 参考：《运筹与管理》2017年05期

【摘要】：传统的覆盖模型含有"全有全无"和"单一覆盖"两个假设,即假设需求点在设施的服务半径内才被覆盖,否则不被覆盖;需求点只能被最近的设施覆盖。这两条假设在实际应用中均存在不合理之处。松弛了这两条假设,研究逐渐覆盖和联合覆盖。在保证每个需求点都享受到最低服务水平的情况下,提出了选址效益最大化的联合覆盖模型。由于目标函数中含有分式,通过引入辅助变量的方法,将含有分式目标函数的非线性规划转化成等价的线性规划。最后,通过数值算例分析了最低服务水平限制对最佳选址方案的影响,并得到选址成本、总服务水平和单位成本服务水平随最低服务水平限制的变化,同时对影响模型的重要参数做了敏感性分析。
[Abstract]:The traditional coverage model contains two hypotheses: "all have none" and "single coverage". It is assumed that the requirement point is covered only within the service radius of the facility, otherwise it will not be overwritten, and the requirement point can only be covered by the nearest facility. These two hypotheses are unreasonable in practical application. These two hypotheses are relaxed, and the gradual and joint covering are studied. A joint coverage model is proposed to maximize the benefit of site selection under the condition that every demand point enjoys the lowest service level. Because objective function contains fraction, by introducing auxiliary variable, the nonlinear programming with fractional objective function is transformed into equivalent linear programming. Finally, a numerical example is given to analyze the influence of the minimum service level restriction on the best location scheme, and the changes of location cost, total service level and unit cost service level with the minimum service level limit are obtained. At the same time, sensitivity analysis of important parameters affecting the model is made.
【作者单位】： 湖北经济学院湖北物流发展研究中心;华中科技大学管理学院;武汉工程大学管理学院;
【基金】：教育部人文社会科学研究青年基金项目(15YJC630074) 湖北物流发展研究中心研究课题(2015A01)
【分类号】：O221
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本文编号：1885841