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We formulate the resource allocation and interference coordination problem as a QPF\u2010based utility maximisation problem, wherein, QPF reduces the complexity compared with the conventional proportional fairness. Interference has been minimised through time, frequency and space domain resource allocation. The proposed 3\u2010D scheme utilises two time slots for intercell interference management, spatial position\u2010based frequency resource allocation for intracell interference mitigation, and frequency domain orthogonality across user equipment (UE) and relays for inter\u2010UE and UE\u2010relays interference management. It has been shown that the relaxed non\u2010convex primal problem and the dual problem have zero duality gap under the time\u2010sharing and tolerable interference constraints. The relaxed optimal problem has been solved through the Lagrange dual method. Simulation results show the efficacy of the proposed 3\u2010D scheme compared with the recently presented three slots time domain interference coordination with round robin and proportional fairness time domain interference coordination schemes. It has been observed that the proposed heuristic 3D with equal power scheme exhibits same performance as the heuristic 3D with water\u2010filling power allocation and retains the desired optimal level for more than 60%<\/jats:italic> of the average users' throughput. Copyright \u00a9 2016 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/ett.3051","type":"journal-article","created":{"date-parts":[[2016,6,16]],"date-time":"2016-06-16T07:57:32Z","timestamp":1466063852000},"page":"1097-1114","source":"Crossref","is-referenced-by-count":0,"title":["3\u2010D quasi proportional fairness scheduling in relay\u2010assisted multicell LTE\u2010A downlink"],"prefix":"10.1002","volume":"27","author":[{"given":"Irfan","family":"Ahmed","sequence":"first","affiliation":[{"name":"Department of Computer Engineering Taif University Taif 21974 Saudi Arabia"}]}],"member":"311","published-online":{"date-parts":[[2016,6,16]]},"reference":[{"key":"e_1_2_9_2_1","unstructured":"3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Evolved Universal Terrestrial Radio Access (E\u2010UTRA); Further advancements for E\u2010UTRA physical layer aspects (Release 9). 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