Note on a Vertex Stability Radius in the Shortest Path Problem

Egor Grishin (), Elena Musatova () and Alexander Lazarev ()
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Egor Grishin: ICS RAS
Elena Musatova: ICS RAS
Alexander Lazarev: ICS RAS

SN Operations Research Forum, 2024, vol. 5, issue 3, 1-14

Abstract: Abstract The article investigates stability analysis in the shortest path problem. We consider a directed graph in which all optimal paths from a source to a sink pass through a certain vertex. For such vertices, we introduce a definition of a vertex stability radius and research its features. A comparison with other results devoted to stability analysis is provided. Several explanatory and practical examples are presented.

Keywords: Stability radius; Postoptimal analysis; Shortest path problem; Optimization; Logistics (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s43069-024-00338-4

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