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- Publisher Website: 10.1016/j.omega.2016.01.012
- Scopus: eid_2-s2.0-84966270148
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Article: Models and column generation approach for the resource-constrained minimum cost path problem with relays
Title | Models and column generation approach for the resource-constrained minimum cost path problem with relays |
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Authors | |
Keywords | Column generation Lagrangian relaxation Multiple resource constraint Network design Relay location |
Issue Date | 2017 |
Citation | Omega (United Kingdom), 2017, v. 66, p. 79-90 How to Cite? |
Abstract | In this paper, we introduce the resource-constrained minimum cost path problem with relays (RMCPR), which deals with multiple-resource constraint on the path with relays. The RMCPR consists of finding a path from a source to a destination, and locating relays on some nodes of the path, such that the total cost of setting arcs and relays is minimized, and for each resource, the total consumption between the source and the first relay, any two consecutive relays, and the last relay and the destination do not exceed a predefined upper bound of resource consumption. The RMCPR is a single-commodity resource-constrained network design problem with relays. We present a pattern-chain formulation and develop a column generation based exact approach for the RMCPR. We design a Lagrangian relaxation based method to efficiently price out columns to enter the basis. We present computational results on three sets of 560 randomly generated instances with different properties. Computational results demonstrate that our proposed algorithm is an efficient exact method for solving the RMCPR. |
Persistent Identifier | http://hdl.handle.net/10722/328728 |
ISSN | 2023 Impact Factor: 6.7 2023 SCImago Journal Rankings: 2.647 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Xiangyong | - |
dc.contributor.author | Lin, Shaochong | - |
dc.contributor.author | Tian, Peng | - |
dc.contributor.author | Aneja, Y. P. | - |
dc.date.accessioned | 2023-07-22T06:23:27Z | - |
dc.date.available | 2023-07-22T06:23:27Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Omega (United Kingdom), 2017, v. 66, p. 79-90 | - |
dc.identifier.issn | 0305-0483 | - |
dc.identifier.uri | http://hdl.handle.net/10722/328728 | - |
dc.description.abstract | In this paper, we introduce the resource-constrained minimum cost path problem with relays (RMCPR), which deals with multiple-resource constraint on the path with relays. The RMCPR consists of finding a path from a source to a destination, and locating relays on some nodes of the path, such that the total cost of setting arcs and relays is minimized, and for each resource, the total consumption between the source and the first relay, any two consecutive relays, and the last relay and the destination do not exceed a predefined upper bound of resource consumption. The RMCPR is a single-commodity resource-constrained network design problem with relays. We present a pattern-chain formulation and develop a column generation based exact approach for the RMCPR. We design a Lagrangian relaxation based method to efficiently price out columns to enter the basis. We present computational results on three sets of 560 randomly generated instances with different properties. Computational results demonstrate that our proposed algorithm is an efficient exact method for solving the RMCPR. | - |
dc.language | eng | - |
dc.relation.ispartof | Omega (United Kingdom) | - |
dc.subject | Column generation | - |
dc.subject | Lagrangian relaxation | - |
dc.subject | Multiple resource constraint | - |
dc.subject | Network design | - |
dc.subject | Relay location | - |
dc.title | Models and column generation approach for the resource-constrained minimum cost path problem with relays | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.omega.2016.01.012 | - |
dc.identifier.scopus | eid_2-s2.0-84966270148 | - |
dc.identifier.volume | 66 | - |
dc.identifier.spage | 79 | - |
dc.identifier.epage | 90 | - |
dc.identifier.isi | WOS:000387524000007 | - |