| Summary: | 碩士 === 國立政治大學 === 應用數學研究所 === 95 === 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 thesis 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.
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