Summary: | 博士 === 淡江大學 === 管理科學研究所 === 83 === This paper attempts to provide that the manager, who manages
extensive communication network under the communication demand
function and communication flow of users at any time, could use
the models (the optimal division of communication demand area
and the optimal arrangement of communication centers) to
estimate the communication efficiency of a hierarchical
communication network with single trunk line. Using the result
of estimation, the manager could adjust the structure of
network which has existed. For the first model, we consider how
to divide a communication demand area into several small areas
under a hierarchical network with single trunk line. And all
the communication centers of small areas are linked together to
form the single trunk line. The communication flow handled by
the communication centers is used to represent the standard of
the communication efficiency. Under the standard of the
communication efficiency, a mathematical model of the optimal
division of communication is developed by the function which is
graphed on the plane of coordinate representing the
communication demand flow of users. For the second model, we
discuss how to arrange communication centers linked on a single
trunk of hierarchical communication network. The communication
demand flow of users is predetermined in every communication
area which has existed. Because the communication centers of
various arrangement incur the different total communication
flow on the single trunk lines, a mathematical model of the
optimal arrangement of communication centers is developed by
the different total communication flow on the single trunk
line. For the two mathematical models, using the logical
process, we could yield the optimal solutions and the
properties of the optimal solutions.
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