Математическая теория телетрафика и сети телекоммуникаций UDC 621.39:519.872.4 An Analytical Model of Load Distribution Schemes in LTE Heterogeneous Networks T. V. Efimushkina, K. E. Samuylov Telecommunication Systems Department Peoples’ Friendship University of Russia Miklukho-Maklaya str., 6, Moscow, Russia, 117198 The resource allocation problem in Orthogonal Frequency Division Multiple Access relayenhanced heterogeneous cellular networks is studied. <...> An analytical model of the downlink channel in discrete time is suggested. <...> We derive and analyze various resource allocation algorithms. <...> In order to evaluate the role of different resource allocation schemes we obtain blocking probabilities and other performance metrics of interest. <...> Key words and phrases: LTE-Advanced, OFDMA, relay station, analytical model, performance metrics. 1. <...> Introduction The evolving 3rd Generation Partnership Project (3GPP) Long Term Evolution (LTE) standard is based on the Orthogonal Frequency Division Multiple Access (OFDMA), which is known for its high spectral efficiency and inherent robustness against frequency-selective fading [1, 2]. <...> Moreover, the multihop relay concept has been introduced into LTE-Advanced based cellular networks to provide ubiquitous high-data-rate coverage. <...> In this paper we consider the fixed infrastructure usage model of multihop relay stations (RSs), which is shown in Fig.1. <...> Among the advantages of relay stations deployment are, first of all, the improvement of system capacity and coverage by dividing one long channel path into several shorter links and by offering alternative paths to users located in shadow areas. <...> Secondly, taking into account the high costs of the Base Stations (BSs) due to the necessity of a very high density for provision of the sufficient coverage, the deployment costs of the cellular systems with relays decrease. <...> Resource allocation in OFDMA relay-enhanced cellular networks has become a popular topic recently [6–8]. <...> All in all, noting the high variation of the traffic distribution between the Mobile Stations (MSs), it is essential to analyze dynamic resource allocation schemes that assign different amounts of resources to RSs according to various traffic demands and topologies. <...> Before considering the resource assignment problem, the frame structure and various OFDMA-based resource allocation architectures <...>