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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
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/68180

    Title: Modeling on Weighted Utilizations of Network Dimensioning Problems
    Authors: 陸行
    Contributors: 應數系
    Date: 2010.04
    Issue Date: 2014-08-05 16:31:22 (UTC+8)
    Abstract: 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.
    Relation: International Journal of Operations Research,7(1),41-52
    Data Type: article
    Appears in Collections:[應用數學系] 期刊論文

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