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引用次数: 0
摘要
将 n 个实体以可逆的方式分配给 m 个其他实体,是一项在各种情况下都会出现的具有挑战性的任务。在组合优化中,分配问题是一个需要大量研究的领域。这些问题在生产规划、VLSI 电信设计、经济学等不同领域都有很多应用。分配问题在将物品分配给机器以降低分配成本方面起着至关重要的作用。为实现这一目的,本文研究了解决分配问题的多种方法,包括博弈论、不确定性下的选择和图论方法。为了证明这些模型的有效性,对其结果进行了相互评估。在整个研究过程中,还考察了分配问题的修改和特殊情况及其应用。使用 MATLAB 软件对所提出的 WAP 方法进行了模拟。对一系列随机生成的不同规模问题的计算结果表明,所提出的方法能够找到高质量的解决方案。
Analysis of Resource Allocation Problem with Different Techniques: A Comparative Study
Assigning n’s entities to m’s other entities in an invertible manner is a challenging task that arises in various circumstances. In combinatorial optimisation, assignment problems are a heavily researched area. These problems have many applications in different domains like production planning, VLSI design for telecommunications, economics, etc. The assignment problem plays a crucial role in assigning things to machines so as to reduce assignment costs. To achieve this purpose, this paper examines many ways for solving assignment problems, including Game theory, choice under uncertainty and Graph theory approaches. In order to demonstrate the efficacy of these models, the results were evaluated against one another. Throughout the study, modifications and special situations of the assignment problem and its applications are also examined. The simulation of the proposed WAP approaches is carried out using MATLAB software. The computational findings for a collection of randomly created problems of varying sizes demonstrate that the proposed methods are capable of locating solutions of high quality.