多设施类型容量扩展规划的启发式方法

H. Luss
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引用次数: 32

摘要

研究了多设施类型的产能扩展模型,其中不同的设施类型代表不同的质量水平。该模型的应用可以在通信网络和生产设施中找到。该模型假定有有限个离散的时间段。这些设施随着时间的推移而扩大。高质量设施的产能可以转换,以满足对低质量设施的需求。所考虑的成本包括容量扩展成本和过剩容量持有成本。所有的代价函数都是非递减的凹函数。找到最优扩展策略的算法需要大量的计算,并且只适用于小规模问题。在这里,我们开发了一种启发式方法,采用所谓的分布式扩展策略。它还试图将问题分解为几个独立解决的小问题。启发式算法计算效率很高。此外,它始终能找到接近最优的解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A heuristic for capacity expansion planning with multiple facility types
A capacity expansion model with multiple facility types is examined, where different facility types represent different quality levels. Applications for the model can be found in communications networks and production facilities. The model assumes a finite number of discrete time periods. The facilities are expanded over time. Capacity of a high‐quality facility can be converted to satisfy demand for a lower‐quality facility. The costs considered include capacity expansion costs and excess capacity holding costs. All cost functions are nondecreasing and concave. An algorithm that finds optimal expansion policies requires extensive computations and is practical only for small scale problems. Here, we develop a heuristic that employs so‐called distributed expansion policies. It also attempts to decompose the problem into several smaller problems solved independently. The heuristic is computationally efficient. Further, it has consistently found near‐optimal solutions.
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