EQUILIBRIUM VALUES AND DYNAMICS OF ATTRACTIVENESS TERMS IN PRODUCTION-CONSTRAINED SPATIAL-INTERACTION MODELS

EQUILIBRIUM VALUES AND DYNAMICS OF ATTRACTIVENESS TERMS IN PRODUCTION-CONSTRAINED SPATIAL-INTERACTION MODELS
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DOI:
10.1068/a100371
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发表时间:
1978-01-01
期刊:
ENVIRONMENT AND PLANNING A
影响因子:
--
通讯作者:
WILSON, AG
WILSON, AG
中科院分区:
其他
文献类型:
--
作者:
HARRIS, B;WILSON, AG

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探索了在生产受限的空间相互作用模型中对吸引力项的平衡值进行建模的许多机制。它们包括收入和设施规模的平衡,利润最大化的微分方程式表示,以及数学规划公式。不同的方法被证明是密切相关的,但提供了不同的和互补的见解。探讨了这类平衡点的一些动态性质,包括识别产生参数平滑变化的离散变化的情况。描述了用于计算点的许多可能的算法。
A number of mechanisms are explored for modelling equilibrium values of attractiveness terms in production-constrained spatial-interaction models. They include revenue and facility-size balancing, a differential-equation representation of profit maximisation, and mathematical-programming formulations. The different methods turn out to be closely related but offer different and complementary insights. Some dynamic properties of such equilibrium points are explored, including the identification of circumstances which generate discrete changes for smooth changes in parameters. A number of possible algorithms for calculating the points are described.