A Combined Matheuristic for the Piecewise Linear Multicommodity Network Flow Problem
Naoto Katayama ()
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Naoto Katayama: Faculty of Distribution and Logistics Systems, Ryutsu Keizai University, Ibaraki, Japan
Asia-Pacific Journal of Operational Research (APJOR), 2017, vol. 34, issue 06, 1-24
Abstract:
Multicommodity network problems appear in numerous applications, such as telecommunications, logistics, transportation, distribution and production planning networks. The piecewise linear multicommodity network flow problem is a multicommodity network flow problem with piecewise linear costs corresponding to multiple resources, such as communication lines, vehicles and production lines. In the present paper, for the piecewise linear multicommodity network continuous flow problem, we present a path-based formulation and an arc-based formulation, and develop a combined matheuristic approach, which combines capacity scaling, a column and row generation technique, restricted branch-and-bound and a local branch method.
Keywords: Capacitated network design; piecewise linear; capacity scaling; local branching (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:34:y:2017:i:06:n:s0217595917500336
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DOI: 10.1142/S0217595917500336
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