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COMPUTATIONAL METHODS FOR LOGISTICS PROBLEMS RELATED TO OPTIMAL TREES

Published online by Cambridge University Press:  07 March 2017

LONGSHU WU ,
QIN WANG  and
XIAOBING YANG
LONGSHU WU
Affiliation:
College of Sciences, China Jiliang University, Hangzhou, China email wls@cjlu.edu.cn, wq@cjlu.edu.cn, yangxiaobing467977@163.com
QIN WANG*
Affiliation:
College of Sciences, China Jiliang University, Hangzhou, China email wls@cjlu.edu.cn, wq@cjlu.edu.cn, yangxiaobing467977@163.com
XIAOBING YANG
Affiliation:
College of Sciences, China Jiliang University, Hangzhou, China email wls@cjlu.edu.cn, wq@cjlu.edu.cn, yangxiaobing467977@163.com
*
✉wq@cjlu.edu.cn
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Abstract

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In recent years, balanced network optimization problems play an important role in practice, especially in information transmission, industry production and logistics management. In this paper, we consider some logistics optimization problems related to the optimal tree structures in a network. We show that the most optimal subtree problem is NP-hard by transforming the connected dominating set problem into this model. By constructing the network models of the most balanced spanning tree problem with edge set restrictions, and by finding the optimal subtrees in special networks, we present efficient computational methods for solving some logistics problems.

Keywords

computational methodspanning treepolynomial algorithmnondeterministic polynomial-time (NP)-hard

MSC classification

Primary: 90C27: Combinatorial optimization
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 333 - 341
Copyright
© 2017 Australian Mathematical Society 

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