Uncapacitated minimum cost flow problemsin a distribution network

碩士 === 國立成功大學 === 工業與資訊管理學系碩博士班 === 93 === In this thesis, we consider three special minimum cost flow problems in a distri- bution network, a kind of manufacturing network recently introduced by Fang and Qi. The network diRers from a traditional network model because a new kind of nodes, called D-n...

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Bibliographic Details
Main Authors: Yu-Hui Yang, 楊羽惠
Other Authors: I-Lin Wang
Format: Others
Language:en_US
Online Access:http://ndltd.ncl.edu.tw/handle/cbtugk
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Summary:碩士 === 國立成功大學 === 工業與資訊管理學系碩博士班 === 93 === In this thesis, we consider three special minimum cost flow problems in a distri- bution network, a kind of manufacturing network recently introduced by Fang and Qi. The network diRers from a traditional network model because a new kind of nodes, called D-nodes, are incorporated to describe a distilling operation that decomposes one raw-material to several products with fixed ratios. Besides, all the arcs in our models have no upper bounds. We treat these uncapacitated minimum cost flow problems as specialized shortest path problems with side constraints in a distribution network. We give a preprocessing that compacts a distribution network to an equivalent network of smaller size, derive their mathematical formulations and develop e±cient solution methods.