{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:25:41Z","timestamp":1760239541084,"version":"build-2065373602"},"reference-count":36,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T00:00:00Z","timestamp":1605571200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"PRODEP","award":["CINVESTAV-CA-32"],"award-info":[{"award-number":["CINVESTAV-CA-32"]}]},{"DOI":"10.13039\/501100003141","name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","doi-asserted-by":"publisher","award":["SALUD-2014-C01-233836 (FOSISS)","555976 (PhD. scholarship)"],"award-info":[{"award-number":["SALUD-2014-C01-233836 (FOSISS)","555976 (PhD. scholarship)"]}],"id":[{"id":"10.13039\/501100003141","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A progressive paradigm shift from centralized to distributed network architectures has been consolidated since the 4G communication standard, calling for novel decision-making mechanisms with distributed control to operate at the network edge. This situation implies that each base station (BS) must manage resources independently to meet the quality of service (QoS) of existing human-type communication devices (HTC), as well as the emerging machine type communication (MTC) devices from the internet of things (IoT). In this paper, we address the BS assignment problem, whose aim is to determine the most appropriate serving BS to each mobile device. This problem is formulated as an optimization problem for maximizing the system throughput and imposing constraints on the air interface and backhaul resources. The assignment problem is challenging to solve, so we present a simple yet valid reformulation of the original problem while using dual decomposition theory. Subsequently, we propose a distributed price-based BS assignment algorithm that performs at each BS the assignment process, where a novel pricing update scheme is presented. The simulation results show that our proposed solution outperforms traditional maximum signal to interference plus noise ratio (Max-SINR) and minimum path-loss (Min-PL) approaches in terms of system throughput.<\/jats:p>","DOI":"10.3390\/s20226553","type":"journal-article","created":{"date-parts":[[2020,11,16]],"date-time":"2020-11-16T21:48:52Z","timestamp":1605563332000},"page":"6553","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Distributed Algorithm for Base Station Assignment in 4G\/5G Machine-Type Communication Scenarios with Backhaul Limited Conditions"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4108-9788","authenticated-orcid":false,"given":"Edgar A.","family":"Esquivel-Mendiola","sequence":"first","affiliation":[{"name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del I.P.N. (Cinvestav), Unidad Tamaulipas, Ciudad Victoria 87130, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8449-9077","authenticated-orcid":false,"given":"Hiram","family":"Galeana-Zapi\u00e9n","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del I.P.N. (Cinvestav), Unidad Tamaulipas, Ciudad Victoria 87130, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5056-1349","authenticated-orcid":false,"given":"David H.","family":"Covarrubias","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n Cient\u00edfica y de Educaci\u00f3n Superior de Ensenada (Cicese), Ensenada 22860, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8315-1813","authenticated-orcid":false,"given":"Edwin","family":"Aldana-Bobadilla","sequence":"additional","affiliation":[{"name":"Conacyt-Centro de Investigaci\u00f3n y de Estudios Avanzados del I.P.N. 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Tutor."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"6757","DOI":"10.1109\/ACCESS.2017.2685434","article-title":"A Survey on Mobile Edge Networks: Convergence of Computing, Caching and Communications","volume":"5","author":"Wang","year":"2017","journal-title":"IEEE Access"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2522","DOI":"10.1109\/COMST.2016.2571730","article-title":"Ultra-Dense Networks: A Survey","volume":"18","author":"Kamel","year":"2016","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1743","DOI":"10.1109\/ACCESS.2016.2556011","article-title":"5G Backhaul Challenges and Emerging Research Directions: A Survey","volume":"4","author":"Jaber","year":"2016","journal-title":"IEEE Access"},{"doi-asserted-by":"crossref","unstructured":"Hassan, N., Gillani, S., Ahmed, E., Yaqoob, I., and Imran, M. (2018). The Role of Edge Computing in Internet of Things. IEEE Commun. Mag., 1\u20136.","key":"ref_7","DOI":"10.1109\/MCOM.2018.1700906"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3226","DOI":"10.1109\/TWC.2010.082110.091735","article-title":"Design and Evaluation of a Backhaul-Aware Base Station Assignment Algorithm for OFDMA-Based Cellular Networks","volume":"9","author":"Ferrus","year":"2010","journal-title":"IEEE Trans. Wirel. Commun."},{"doi-asserted-by":"crossref","unstructured":"Domenico, A.D., Savin, V., and Ktenas, D. (2013, January 8\u201311). A backhaul-aware cell selection algorithm for heterogeneous cellular networks. Proceedings of the 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), London, UK.","key":"ref_9","DOI":"10.1109\/PIMRC.2013.6666414"},{"unstructured":"Zhang, G., Quek, T.Q.S., Huang, A., Kountouris, M., and Shan, H. (July, January 28). Backhaul-aware base station association in two-tier heterogeneous cellular networks. Proceedings of the 2015 IEEE 16th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Stockholm, Sweden.","key":"ref_10"},{"key":"ref_11","first-page":"580","article-title":"Backhaul-Aware User Association and Resource Allocation for Energy-Constrained HetNets","volume":"66","author":"Han","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"doi-asserted-by":"crossref","unstructured":"Vannithamby, R., and Talwar, S. (2017). Towards 5G: Applications, Requirements and Candidate Technologies, John Wiley & Sons, Ltd.","key":"ref_12","DOI":"10.1002\/9781118979846"},{"doi-asserted-by":"crossref","unstructured":"Corroy, S., Falconetti, L., and Mathar, R. (2012, January 10\u201315). Dynamic cell association for downlink sum rate maximization in multi-cell heterogeneous networks. Proceedings of the 2012 IEEE International Conference on Communications (ICC), Ottawa, ON, Canada.","key":"ref_13","DOI":"10.1109\/ICC.2012.6364568"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1109\/TWC.2012.121112.120018","article-title":"Joint Resource Allocation and User Association for Heterogeneous Wireless Cellular Networks","volume":"12","author":"Fooladivanda","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1018","DOI":"10.1109\/COMST.2016.2516538","article-title":"User Association in 5G Networks: A Survey and an Outlook","volume":"18","author":"Liu","year":"2016","journal-title":"IEEE Commun. Surv. Tutor."},{"doi-asserted-by":"crossref","unstructured":"Lee, B., Park, D., and Seo, H. (2009). Wireless Communications Resource Management, John Wiley & Sons Asia.","key":"ref_16","DOI":"10.1002\/9780470823583"},{"doi-asserted-by":"crossref","unstructured":"Hassan, N., and Fernando, X. (2020). An Optimum User Association Algorithm in Heterogeneous 5G Networks Using Standard Deviation of the Load. Electronics, 9.","key":"ref_17","DOI":"10.3390\/electronics9091495"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"4162","DOI":"10.1109\/TCOMM.2020.2983036","article-title":"User Association for Millimeter-Wave Networks: A Machine Learning Approach","volume":"68","author":"Liu","year":"2020","journal-title":"IEEE Trans. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"4589","DOI":"10.1109\/TVT.2018.2796135","article-title":"Cell Association With User Behavior Awareness in Heterogeneous Cellular Networks","volume":"67","author":"Sun","year":"2018","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1810","DOI":"10.1109\/TVT.2016.2565539","article-title":"Energy- and Spectrum-Efficient User Association in Millimeter-Wave Backhaul Small-Cell Networks","volume":"66","author":"Mesodiakaki","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1016\/j.dcan.2016.11.004","article-title":"Energy efficiency based joint cell selection and power allocation scheme for HetNets","volume":"2","author":"Mensah","year":"2016","journal-title":"Digit. Commun. Netw."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"6962","DOI":"10.1109\/TVT.2015.2480740","article-title":"Coverage and Rate Analysis for Limited Information Cell Association in Stochastic-Layout Cellular Networks","volume":"65","author":"Herath","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3251","DOI":"10.1109\/TWC.2016.2519401","article-title":"Joint Downlink Cell Association and Bandwidth Allocation for Wireless Backhauling in Two-Tier HetNets With Large-Scale Antenna Arrays","volume":"15","author":"Wang","year":"2016","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1100","DOI":"10.1109\/JSAC.2014.2328143","article-title":"Distributed Pricing-Based User Association for Downlink Heterogeneous Cellular Networks","volume":"32","author":"Shen","year":"2014","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"5388","DOI":"10.1109\/TWC.2015.2437878","article-title":"Joint Downlink and Uplink Aware Cell Association in HetNets With QoS Provisioning","volume":"14","author":"Boostanimehr","year":"2015","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2706","DOI":"10.1109\/TWC.2013.040413.120676","article-title":"User association for load balancing in heterogeneous cellular networks","volume":"12","author":"Ye","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"doi-asserted-by":"crossref","unstructured":"Kim, C., Ford, R., Qi, Y., and Rangan, S. (2014, January 2\u20135). Joint Interference and User Association Optimization in Cellular Wireless Networks. Proceedings of the 2014 48th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA.","key":"ref_27","DOI":"10.1109\/ACSSC.2014.7094497"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"24230","DOI":"10.3390\/s150924230","article-title":"Cell Selection Game for Densely-Deployed Sensor and Mobile Devices In 5G Networks Integrating Heterogeneous Cells and the Internet of Things","volume":"15","author":"Wang","year":"2015","journal-title":"Sensors"},{"key":"ref_29","first-page":"1","article-title":"D2D Communications for Enabling Internet of Things Underlaying LTE Cellular Networks","volume":"6","author":"Elmesalawy","year":"2016","journal-title":"J. Wirel. Netw. Commun."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"e3181","DOI":"10.1002\/ett.3181","article-title":"Distributed device association for multiservice heterogeneous cellular networks with QoS provisioning","volume":"28","author":"Elhattab","year":"2017","journal-title":"Trans. Emerg. Telecommun. Technol."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1109\/LCOMM.2016.2620468","article-title":"A Game Theoretic Framework for Device Association in Heterogeneous Cellular Networks With H2H\/IoT Co-Existence","volume":"21","author":"Elhattab","year":"2017","journal-title":"IEEE Commun. Lett."},{"doi-asserted-by":"crossref","unstructured":"Naqvi, S.A.R., Hassan, S.A., Pervaiz, H., Ni, Q., and Musavian, L. (2016, January 4\u20138). Self-Adaptive Power Control Mechanism in D2D Enabled Hybrid Cellular Network with mmWave Small Cells: An Optimization Approach. Proceedings of the 2016 IEEE Globecom Workshops (GC Wkshps), Washington, DC, USA.","key":"ref_32","DOI":"10.1109\/GLOCOMW.2016.7849042"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2493","DOI":"10.1109\/TWC.2006.1687773","article-title":"Base station assignment and power control algorithms for data users in a wireless multiaccess framework","volume":"5","author":"Ganti","year":"2006","journal-title":"IEEE Trans. Wirel. Commun."},{"doi-asserted-by":"crossref","unstructured":"Sokun, H., Gohary, R., and Yanikomeroglu, H. (2015, January 6\u20139). QoS-Guaranteed User Association in HetNets via Semidefinite Relaxation. Proceedings of the 2015 IEEE 82nd Vehicular Technology Conference (VTC2015-Fall), Boston, MA, USA.","key":"ref_34","DOI":"10.1109\/VTCFall.2015.7391104"},{"key":"ref_35","first-page":"67","article-title":"Alternative Enhancement of Associativity Based Routing (AEABR) for Mobile Networks","volume":"Volume 32","author":"Pentikousis","year":"2010","journal-title":"Lecture Notes of the Institute for Computer Sciences"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"41921","DOI":"10.1109\/ACCESS.2019.2906880","article-title":"Data Aggregation in Massive Machine Type Communication: Challenges and Solutions","volume":"7","author":"Salam","year":"2019","journal-title":"IEEE Access"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/22\/6553\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:34:20Z","timestamp":1760178860000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/22\/6553"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,17]]},"references-count":36,"journal-issue":{"issue":"22","published-online":{"date-parts":[[2020,11]]}},"alternative-id":["s20226553"],"URL":"https:\/\/doi.org\/10.3390\/s20226553","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,11,17]]}}}