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arXiv · 2104.09312

Minimizing the total weighted pairwise connection time in network construction problems

Igor Averbakh
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Abstract

It is required to find an optimal order of constructing the edges of a network so as to minimize the sum of the weighted connection times of relevant pairs of vertices. Construction can be performed anytime anywhere in the network, with a fixed overall construction speed. The problem is strongly NP-hard even on stars. We present polynomial algorithms for the problem on trees with a fixed number of leaves, and on general networks with a fixed number of relevant pairs.

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Igor Averbakh. 2021-04-19. Minimizing the total weighted pairwise connection time in network construction problems. https://arxiv.org/abs/2104.09312

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