5G毫米波網絡(millimeter Wave, mmWave)是一種高頻信號，波長在毫米範圍內。由於毫米波的波長極短且穿透能力差，並且其有效範圍有限，本論文考慮到這些特性，將其與最大最小公平資源分配相結合。類似於無線局域網（Wireless LANs），接入點（AP）之間的流量負載分佈通常是不均衡的，導致用戶之間的頻寬分配不公平。通過最大最小資源分配，可以顯著減少負載不均衡和隨之而來的不公平頻寬分配。在本論文中，我們提出了一種有效的解決方案來確定用戶與接入點的連接，以實現最大最小公平的頻寬分配。我們展示了公平性與負載平衡之間的密切關係，這使我們能夠利用負載平衡技術來實現最佳的最大最小公平頻寬分配。我們的模擬結果表明，所提出的部份連線演算法接近於實現最佳負載平衡。最後，我們將我們的方法與比例公平資源分配進行了比較，並探討了兩者之間的差異及其優缺點。

The 5G millimeter wave network is a type of high-frequency signal with wavelengths in the millimeter range. Due to the extremely short wavelength and poor penetration capability of millimeter waves, as well as their limited effective range, this paper considers these characteristics and integrates them with max-min fairness resource allocation. Similar to wireless LANs, the distribution of traffic load among access points (APs) is typically uneven, resulting in unfair bandwidth allocation among users. Through max-min resource allocation, significant reductions in both load imbalance and consequent unfair bandwidth distribution can be achieved. In this paper, we propose an effective solution for determining user-AP connections to achieve max-min fair bandwidth allocation. We demonstrate the close relationship between fairness and load balance, which enables us to utilize load balancing techniques in order to attain optimal max-min fair bandwidth allocation. Our simulation results indicate that the proposed fractional-association close to algorithm achieves optimal load balancing. Finally, we compare our approach with the related work proportional fairness resource allocation, and we examine the differences and discuss merits between the two approaches.

[1] H. Elshaer, M. N. Kulkarni, F. Boccardi, J. G. Andrews, and M. Dohler, "Downlink and uplink cell association with traditional macrocells and millimeter wave small cells," IEEE Transactions on Wireless Communications, vol. 15, no. 9, pp. 6244-6258, 2016.
[2] A. S. Cacciapuoti, "Mobility-aware user association for 5G mmWave networks," IEEE Access, vol. 5, pp. 21497-21507, 2017.
[3] T. S. Rappaport, G. R. MacCartney, M. K. Samimi, and S. Sun, "Wideband millimeter-wave propagation measurements and channel models for future wireless communication system design," IEEE transactions on Communications, vol. 63, no. 9, pp. 3029-3056, 2015.
[4] Y. Xu, H. Shokri-Ghadikolaei, and C. Fischione, "Distributed association and relaying with fairness in millimeter wave networks," IEEE Transactions on Wireless Communications, vol. 15, no. 12, pp. 7955-7970, 2016.
[5] Y. Bejerano, S.-J. Han, and L. Li, "Fairness and load balancing in wireless LANs using association control," in Proceedings of the 10th annual international conference on Mobile computing and networking, 2004, pp. 315-329.
[6] Y.-H. Ciou, "Designs of algorithms for client association and resource allocation in mmWave 5G networks," 臺灣博碩士論文知識加值系統, 2019.
[7] Geeksforgeeks. "Election algorithm and distributed processing." https://www.geeksforgeeks.org/election-algorithm-and-distributed-processing/ (accessed.
[8] D. B. Shmoys and É. Tardos, "An approximation algorithm for the generalized assignment problem," Mathematical programming, vol. 62, no. 1, pp. 461-474, 1993.
[9] I. Maros and C. Mészáros, "A numerically exact implementation of the simplex method," Annals of Operations Research, vol. 58, no. 1, pp. 1-17, 1995.
[10] D. Bertsimas and J. N. Tsitsiklis, Introduction to linear optimization. Athena Scientific Belmont, MA, 1997.
[11] ntu. "Chap. 7、解LP的其他演算法." http://ecaaser5.ecaa.ntu.edu.tw/class-or/or-lp-chap7.htm (accessed.
[12] ORAN. "What Is Open RAN (O-RAN)?" https://www.mathworks.com/discovery/o-ran.html (accessed.
[13] PL. "行動通訊 （七）ORAN 開放式 RAN 架構的現況和前景." https://blog.udn.com/lwv2013/180158065 (accessed.
[14] ORAN. "Network-Energy-Savings-Technical-Report-R003-v01.00.03." https://www.o-ran.org/ (accessed.
[15] 每日頭條. "CPRI和eCPRI有什麼區別？." https://kknews.cc/tech/5jyz6o3.html (accessed.
[16] MBA智庫. "MIMO技術." https://wiki.mbalib.com/zh-tw/MIMO%E6%8A%80%E6%9C%AF (accessed.