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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/68180


    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/68180


    题名: Modeling on Weighted Utilizations of Network Dimensioning Problems
    作者: 陸行
    Luh,Hsing
    Wang,Chia-Hung
    Cheng,Ya-Hui
    贡献者: 應數系
    日期: 2010.04
    上传时间: 2014-08-05 16:31:22 (UTC+8)
    摘要: We propose two mathematical models with weighted utility functions for the fair bandwidth allocation and QoS routing in communication networks which offer multiple services for several classes of users. The formulation and numerical experiments are carried out in a general utility-maximizing framework. In this work, instead of being fixed, the weight for each utility function is taken as a free variable. The objective of this paper is to find the structure of optimal weights that maximize the weighted sum of utilities of the bandwidth allocation for each class. We solve it by proposing two models in terms of fairness. Model I and II are constructed to compare different choices for optimal weights. For Model I, the structure of optimal weights form a vector which consists of one for a class and zero otherwise. For Model II, the form of optimal weights is that each weight of utility function is equally assigned. The results are proved and illustrated by software GAMS numerically. Keywords ¾ weighted utility functions, numerical experiments, optimal weights.
    關聯: International Journal of Operations Research,7(1),41-52
    数据类型: article
    显示于类别:[應用數學系] 期刊論文

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