@inproceedings{34a83a662e0e425a8b5a18a96ac953ef,
title = "On the Solvability of Resource Allocation Problems for Wireless Systems on Digital Computers",
abstract = "This paper examines the computability of optimal power allocation strategies for utility maximization and maxmin fairness. It is demonstrated that a computable constraint power function exists. However, when both total and individual power constraints are taken into account, it is determined that the optimal power allocation for maximizing network utility is not computable since every single power value is a non-computable number. Furthermore, it is established that within the same constraint context, both the max-min fairness level and its corresponding power values are non-computable numbers.",
author = "Holger Boche and Andrea Grigorescu and Schaefer, {Rafael F.} and Poor, {H. Vincent}",
note = "Publisher Copyright: {\textcopyright} 2024 IEEE.; 59th Annual IEEE International Conference on Communications, ICC 2024 ; Conference date: 09-06-2024 Through 13-06-2024",
year = "2024",
doi = "10.1109/ICC51166.2024.10622450",
language = "English",
series = "IEEE International Conference on Communications",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4108--4113",
editor = "Matthew Valenti and David Reed and Melissa Torres",
booktitle = "ICC 2024 - IEEE International Conference on Communications",
}