{"oa":1,"abstract":[{"text":"We consider a natural problem dealing with weighted packet selection across a rechargeable link, which e.g., finds applications in cryptocurrency networks. The capacity of a link (u, v) is determined by how many nodes u and v allocate for this link. Specifically, the input is a finite ordered sequence of packets that arrive in both directions along a link. Given (u, v) and a packet of weight x going from u to v, node u can either accept or reject the packet. If u accepts the packet, the capacity on link (u, v) decreases by x. Correspondingly, v's capacity on \r\n increases by x. If a node rejects the packet, this will entail a cost affinely linear in the weight of the packet. A link is “rechargeable” in the sense that the total capacity of the link has to remain constant, but the allocation of capacity at the ends of the link can depend arbitrarily on the nodes' decisions. The goal is to minimise the sum of the capacity injected into the link and the cost of rejecting packets. We show that the problem is NP-hard, but can be approximated efficiently with a ratio of (1+E) . (1+3)  for some arbitrary E>0.","lang":"eng"}],"year":"2024","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.tcs.2023.114353"}],"author":[{"full_name":"Schmid, Stefan","last_name":"Schmid","first_name":"Stefan"},{"full_name":"Svoboda, Jakub","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","first_name":"Jakub","orcid":"0000-0002-1419-3267","last_name":"Svoboda"},{"id":"2D82B818-F248-11E8-B48F-1D18A9856A87","full_name":"Yeo, Michelle X","last_name":"Yeo","first_name":"Michelle X"}],"language":[{"iso":"eng"}],"day":"11","article_number":"114353","title":"Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation","citation":{"mla":"Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” <i>Theoretical Computer Science</i>, vol. 989, 114353, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">10.1016/j.tcs.2023.114353</a>.","ista":"Schmid S, Svoboda J, Yeo MX. 2024. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. 989, 114353.","ieee":"S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation,” <i>Theoretical Computer Science</i>, vol. 989. Elsevier, 2024.","short":"S. Schmid, J. Svoboda, M.X. Yeo, Theoretical Computer Science 989 (2024).","ama":"Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. <i>Theoretical Computer Science</i>. 2024;989. doi:<a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">10.1016/j.tcs.2023.114353</a>","chicago":"Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” <i>Theoretical Computer Science</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">https://doi.org/10.1016/j.tcs.2023.114353</a>.","apa":"Schmid, S., Svoboda, J., &#38; Yeo, M. X. (2024). Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. <i>Theoretical Computer Science</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">https://doi.org/10.1016/j.tcs.2023.114353</a>"},"intvolume":"       989","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["0304-3975"]},"date_published":"2024-01-11T00:00:00Z","volume":989,"quality_controlled":"1","publisher":"Elsevier","date_created":"2024-01-16T13:40:41Z","month":"01","publication_status":"epub_ahead","publication":"Theoretical Computer Science","project":[{"grant_number":"863818","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"doi":"10.1016/j.tcs.2023.114353","oa_version":"Published Version","department":[{"_id":"KrCh"},{"_id":"KrPi"}],"type":"journal_article","date_updated":"2024-01-17T09:23:03Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ec_funded":1,"acknowledgement":"We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful discussions about different variants of the problem. This work is supported by the European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025, the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant 470029389 (FlexNets), 2021-2024.","_id":"14820","status":"public","keyword":["General Computer Science","Theoretical Computer Science"],"article_type":"original"}