Models and column generation approach for the resource-constrained minimum cost path problem with relays

Xiangyong Li, Shaochong Lin, Peng Tian and Y.P. Aneja

Omega, 2017, vol. 66, issue PA, 79-90

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.

Keywords: Network design; Relay location; Multiple resource constraint; Lagrangian relaxation; Column generation (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.omega.2016.01.012

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