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- W2729459075 abstract "We study the Online Steiner Tree Leasing (OSTL) problem, defined in a weighted undirected graph with a distinguished root node r. There is a known set $$mathcal {L}$$ of available lease types, where each type $$ell in mathcal {L}$$ is characterized by its duration $$D_ell $$ and cost factor $$C_ell $$ . As an input, an online algorithm is given a sequence of terminals and has to connect them to the root r using leased edges. An edge of length d can be leased using lease type $$ell $$ for cost $$C_ell cdot d$$ and remains valid for time $$D_ell $$ . The OSTL problem contains the online Steiner tree and the single-source rent-or-buy problems as specific subcases. We present the first deterministic online algorithm for OSTL, whose competitive ratio is $$O(|mathcal {L}| cdot log k)$$ , where k is the number of different terminals in the input. The currently best randomized algorithm attains the ratio of $$O(log |mathcal {L}| cdot log n)$$ , where $$n ge k$$ is the number of nodes in the graph." @default.
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- W2729459075 date "2017-01-01" @default.
- W2729459075 modified "2023-09-23" @default.
- W2729459075 title "A Deterministic Algorithm for Online Steiner Tree Leasing" @default.
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- W2729459075 doi "https://doi.org/10.1007/978-3-319-62127-2_15" @default.
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