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首页> 外文期刊>International Journal of Computational Economics and Econometrics >Demand monotonicity of a pavement cost function used to determine Aumann-Shapley values in highway cost allocation
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Demand monotonicity of a pavement cost function used to determine Aumann-Shapley values in highway cost allocation

机译：路面成本函数的需求单调性，用于确定公路成本分配中的Aumann-Shapley值

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摘要

Pavement thickness and traffic lanes are two essential requirements affecting the cost of a highway design project. The traffic loadings on a pavement are typically measured in 18-kip equivalent single axle loads (ESALs). In this paper, both ESALs and lanes are treated as two types of players and a pavement cost function is developed to determine the average marginal cost for each type of players. These averages are known as the Aumann-Shapley (A-S) values and are used to allocate the highway cost among all vehicle classes. The proposed pavement cost function is proved to be monotonically increasing as the traffic loadings (ESALs) are increased, a necessary condition for the function to be acceptable for computing Aumann-Shapley values. A severe limitation of the procedure to calculate marginal costs for the traffic-loading players is the extremely large number of permutations since the number of players is enormously high. To overcome this limitation, this article derives a compact form for the discrete A-S values of ESALs and lanes that allows the Aummann-Shapely values to be calculated in a computationally effective manner.
机译：人行道厚度和交通车道是影响公路设计项目成本的两个必要要求。路面上的交通负载通常以18-Kip等效单轴载荷（ESALS）测量。在本文中，eSAls和泳道都被视为两种类型的玩家，并且开发了路面成本函数，以确定每种类型的球员的平均边际成本。这些平均值称为Aumann-Shvpley（A-S）值，并且用于在所有车辆类中分配高速公路成本。当流量负载量（ESALS）增加时，证明所提出的路面成本函数被汇总增加，所以用于计算AUMANN-Shppley值的功能的必要条件。对计算交通装载玩家的边际成本计算的程序的严重限制是极大的排列，因为玩家的数量大得多。为了克服这种限制，本文得出了一种紧凑的形式，用于离散的A-S值的ESAL和泳道，其允许以计算方式计算的Aummann-Freadly值。

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