Abstract
In this paper, we present an alternative multi-stage generalized upper bounds (GUB) based approach for detecting an embedded pure network structure in an LP problem. In order to identify a GUB structure, we use two different approaches; the first is based on the notion of Markowitz merit count and the second exploits independent sets in the corresponding graphs. Our computational experiments show that the multi-stage GUB algorithm based on these approaches performs favourably when compared with other well known algorithms.
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Gülpinar, N., Gutin, G., Mitra, G. et al. Detecting Embedded Networks in LP Using GUB Structures and Independent Set Algorithms. Computational Optimization and Applications 15, 235–247 (2000). https://doi.org/10.1023/A:1008791601215
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DOI: https://doi.org/10.1023/A:1008791601215