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首页> 外文期刊>International Journal of Applied Logistics >A Location Allocation Model for a Territorial Design Problem with Dense Demand
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A Location Allocation Model for a Territorial Design Problem with Dense Demand

机译:具有密集需求的区域设计问题的位置分配模型

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The authors present in this work a proposal that allows establishing the relationships between the facilities location problem and the client allocation within a dense demand environment in territorial design. This proposal can be seen as a basic methodology to give support to the decision making. The use of this application lets one know the production facilities location, warehouses or distribution centers in a geographical space division. On the other hand, solving the client's dense demand for goods or services, means finding the location of facilities in a populated geographic territory, where the population has a demand for services in a constant basis. Finding the location is obtaining the decimal geographical coordinates in longitude, latitude where the facility is located, such that the product or service transport costs the least. The implications and practical benefits of the results from this work allow an organization to be able to design an efficient logistics plan in benefit of its supply chain. The problem the authors present is a territorial design and optimization one due to the fact that the required territorial partition demands the creation of compact zones where the minimum distance between the geographical objects is implicitly optimized. This problem belongs to the NP-hard class, where the use of a metaheuristic to attain approximated solutions becomes a necessity, Variable Neighborhood Search was chosen because it achieves good solutions for this kind of problems. Once the territory has been partitioned into k zones where the centroid of each zone is the distribution center, as a first step the authors proceed to apply the dense demand with continuous functions and this is the main original contribution of this paper: Finding the location of facilities inside a territory where the population has a dense demand for services. The location obtained means having available the decimal geographic coordinates in longitude and latitude from the location point in such a way that the products or services transfer has a minimum cost. Finally the Weber function is minimized, which weights are a function that represents the population's demand in every territory, multiplied by the Euclidean distance between the potential location points and demand points.
机译:作者在这项工作中提出了一个建议,该建议允许在区域设计的密集需求环境中建立设施位置问题和客户分配之间的关系。该提议可以被视为支持决策的基本方法。使用此应用程序可以使人们知道地理空间分区中的生产设施位置,仓库或分配中心。另一方面,要解决客户对商品或服务的密集需求,则意味着要在人口稠密的地理区域中找到设施的位置,那里的人口对服务或需求有持续的需求。查找位置就是获得设施所在位置的经度,纬度的十进制地理坐标,从而使产品或服务的运输成本最低。这项工作的结果的含义和实际好处使组织能够从其供应链中受益,设计出有效的物流计划。作者提出的问题是领土设计和优化,这是由于以下事实:所需的领土划分要求创建紧凑的区域,在这些区域中隐式优化了地理对象之间的最小距离。该问题属于NP-hard类,在该类中,必须使用元启发式算法来获得近似解,因此选择“可变邻域搜索”是因为它为此类问题提供了很好的解决方案。一旦将区域划分为k个区域,其中每个区域的质心为分布中心,作为第一步,作者便开始应用具有连续功能的密集需求,这是本文的主要原始贡献:人口对服务有大量需求的领土内的设施。获得的位置意味着可以从产品位置获得经度和纬度的十进制地理坐标,以使产品或服务的转移成本最低。最后,将韦伯函数最小化,权重是代表每个地区人口需求的函数,乘以潜在地点和需求点之间的欧几里得距离。

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