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Optimal network flow: A predictive analytics perspective on the fixed-charge network flow problem

delete2016-09-01
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PRE
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C
Charles Nicholson
W
Weili Zhang *
DOI:10.1016/j.cie.2016.07.030delete
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Abstract

Abstract

En 中文
The fixed charge network flow (FCNF) problem is a classical NP-hard combinatorial problem with wide spread applications. To the best of our knowledge, this is the first paper that employs a statistical learning technique to analyze and quantify the effect of various network characteristics relating to the optimal solution of the FCNF problem. In particular, we create a probabilistic classifier based on 18 network related variables to produce a quantitative measure that an arc in the network will have a non-zero flow in an optimal solution. The predictive model achieves 85% cross-validated accuracy. An application employing the predictive model is presented from the perspective of identifying critical network components based on the likelihood of an arc being used in an optimal solution. (C) 2016 Elsevier Ltd. All rights reserved.
Keywords:
Network analysis
Fixed charge network flow
Predictive modeling
Critical components
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Journal

Computers and Industrial Engineering cover
Computers and Industrial Engineering
IF:
6.5
Papers:
1.0W
Citations:
3.8W

Organization

U
university of oklahoma system
Scholars:
1.9W
Papers: 1.6W
Citations: 17