Performance Evaluation 70 (2013) 77–89 Contents lists available at SciVerse ScienceDirect Performance Evaluation journal homepage: www.elsevier.com/locate/peva Performance analysis of a cellular network using frequency reuse partitioning ✩ Seung-Yeon Kim a , Seungwan Ryu b,* , Choong-Ho Cho c , Hyong-Woo Lee a a Department of Electronics and Information Engineering, Korea University, Sejong 339-700, Republic of Korea b Department of Information Systems, Chung-Ang University, Anseong 456-756, Republic of Korea c Department of Computer Information, Korea University, Sejong 339-700, Republic of Korea article info Article history: Received 18 August 2011 Received in revised form 18 September 2012 Accepted 25 September 2012 Available online 2 November 2012 Keywords: WiMAX 802.16m 3GPP-LTE Co-channel interference (CCI) Frequency reuse partitioning (FRP) Two dimensional Markov chains abstract In this paper, we propose an analytical model to evaluate the performance of Frequency Reuse Partitioning (FRP) based cellular systems. In an FRP scheme, a channel with a smaller reuse factor is assigned to Mobile Stations (MSs) located near the serving Base Station (BS), whereas a channel with a larger reuse factor is assigned to MSs located near the edge of a cell. In this manner, FRP can reduce the effect of Co-Channel Interference (CCI) and improve system throughput. In order to establish an analytical model for FRP based cellular systems, we introduce a model for traffic analysis using a two dimensional Markov chain and approximate CCI levels with the power sum of multiple log-normal random components in a multi-cell environment. The performance of the FRP based system is presented in terms of channel utilization, call blocking probability, outage probability and effective throughput. The analytical results are compared with computer simulations. Crown Copyright © 2012 Published by Elsevier B.V. All rights reserved. 1. Introduction Most fourth-generation (4G) systems, including WiMAX 802.16m [1] and Third Generation Partnership Project-Long Term Evolution (3GPP-LTE) [2], are targeting aggressive spectrum reuse (frequency reuse factor of 1) in order to achieve high system capacity and simplify radio network planning. Although a frequency reuse factor of 1 results in a significant increase of the system capacity, it also severely increases the outage experienced by users due to the interference caused by out-of-cell transmissions. Both 802.16m and 3GPP-LTE systems, therefore, have focused on several interference management schemes for improving system performance. These techniques include semi-static Radio Resource Management (RRM) approaches based on optimized frequency allocation policies, optimal power assignment and control schemes, and smart antenna techniques to suppress interference from other cells. In particular, Frequency Reuse Partitioning (FRP) has been proposed for the OFDMA based IEEE802.16m and 3GPP-LTE systems as an Inter-Cell Interference Coordination (ICIC) technique [3]. The basic idea of FRP is to partition the bandwidth of a cell into several sub-bands so as to achieve enhanced system capacity via mitigation of interference. With FRP, both the cell-edge users of adjacent cells and the interference received by (also created by) the cell interior users can be significantly reduced while increasing the spectral efficiency of a cell compared with conventional frequency reuse. In the literature, the performance of the FRP approach has been reported in [4–7]. In [4,5], the performance improvement achieved using FRP has been studied for the OFDMA systems via simulation studies under varying traffic types. In [6], the ✩ This research has been supported by Chung-Ang University Research Grant. * Corresponding author. E-mail addresses: kimsy8011@korea.ac.kr (S.-Y. Kim), ryu@cau.ac.kr (S. Ryu), chcho@korea.ac.kr (C.-H. Cho), hwlee@korea.ac.kr (H.-W. Lee). 0166-5316/$ – see front matter Crown Copyright © 2012 Published by Elsevier B.V. All rights reserved. doi:10.1016/j.peva.2012.09.006