An extension of labeling techniques for finding shortest path trees

Athanasios K. Ziliaskopoulos, Fotios D. Mandanas and Hani S. Mahmassani

European Journal of Operational Research, 2009, vol. 198, issue 1, 63-72

Abstract: Label setting techniques are all based on Dijkstra's condition of always scanning the node with the minimum label, which guarantees that each node will be scanned exactly once; while this condition is sufficient it is not necessary. In this paper, we discuss less restrictive conditions that allow the scanning of a node that does not have the minimum label, yet still maintaining sufficiency in scanning each node exactly once; various potential shortest path schemes are discussed, based on these conditions. Two approaches, a label setting and a flexible hybrid one are designed and implemented. The performance of the algorithms is assessed both theoretically and computationally. For comparative analysis purposes, three additional shortest path algorithms - the commonly cited in the literature - are coded and tested. The results indicate that the approaches that rely on the less restrictive optimality conditions perform substantially better for a wide range of network topologies.

Keywords: Routing; Transportation; Shortest; path (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:198:y:2009:i:1:p:63-72

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