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Optimal Design of a Two-Level Transportation Network with a Different Unit Cost for Each Secondary Link

机译：每个次级链路具有不同单位成本的二级运输网络的优化设计

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摘要

The objective of this paper is to further develop Singhal's (1990) framework for designing a two-level hierarchical transportation network consisting of a trunk or primary link and several feeder or secondary links. Secondary links are perpendicular lines from each of the given points and the primary link is a straight line or curve connecting the feet of two extreme perpendicular lines. The problem and the associated strategic and operational considerations such as cost, time, feasibility, and preferred regions for the primary link in the context of rural highway planning are discussed. Two-level networks are also common in electricity transmission, pipelines, and telecommunication design.The core of the framework is a model for finding the path of a primary link such that a weighted sum of the lengths of the perpendicular lines from each point to a linear primary link and the distance between the feet of the two extreme perpendicular lines is minimized. The analysis shows that for almost every problem there exists a wide range of solutions for which the total cost is only slightly higher than that of the optimal solution. This offers considerable flexibility to the decision maker. These solutions can be evaluated in view of the broader objectives and constraints that are not included in the model. The use of computer graphics and the option of a nonlinear or piecewise linear primary link are also discussed.
机译：本文的目的是进一步发展Singhal（1990）的框架，以设计由干线或主要链路以及几个馈线或次要链路组成的两级分层运输网络。次要链接是来自每个给定点的垂直线，主要链接是连接两条极端垂直线的脚的直线或曲线。讨论了该问题以及相关的战略和运营考虑因素，例如成本，时间，可行性，以及在农村公路规划中作为主要链接的首选区域。两级网络在输电，管道和电信设计中也很常见。框架的核心是一个模型，用于查找主链路的路径，以使从每个点到端点的垂直线长度的加权和。线性主连接和两条极端垂直线的支脚之间的距离最小。分析表明，对于几乎每个问题，都有各种各样的解决方案，其总成本仅比最佳解决方案的总成本略高。这为决策者提供了很大的灵活性。可以考虑模型中未包含的更广泛的目标和约束条件来评估这些解决方案。还讨论了计算机图形的使用以及非线性或分段线性主链接的选择。

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