Abstract
In this paper we study the downlink of an Orthogonal Frequency Division Multiplexing (OFDM) based cell that accommodates calls from different service-classes with different resource requirements. We assume that calls arrive in the system according to a Poisson process while the call admission is based on the Bandwidth Reservation (BR) policy. The BR policy is used for the reservation of subcarriers in favor of calls of high subcarrier requirements. To determine the most important performance metrics, i.e., Call Blocking Probabilities (CBP) and resource utilization in this system, we model it as a multirate loss model and propose recursive formulas which reduce the complexity of the calculations. The accuracy of the formulas is verified via simulation and found to be quite satisfactory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Moscholios, I., Logothetis, M.: Efficient Multirate Teletraffic Loss Models Beyond Erlang. Wiley & IEEE Press, West Sussex, UK (2019)
Paik, C., Suh, Y.: Generalized queueing model for call blocking probability and resource utilization in OFDM wireless networks. IEEE Commun. Lett. 15(7), 767–769 (2011)
Pla, V., Martinez-Bauset, J., Casares-Giner, V.: Comments on call blocking probability and bandwidth utilization of OFDM subcarrier allocation in next-generation wireless networks. IEEE Commun. Lett. 12(5), 349 (2008)
Chen, J.C., Chen, W.S.E.: Call blocking probability and bandwidth utilization of OFDM subcarrier allocation in next-generation wireless networks. IEEE Commun. Lett. 10(2), 82–84 (2006)
Moscholios, I., Vassilakis, V., Panagoulias, P., Logothetis, M.: On call blocking probabilities and resource utilization in OFDM wireless networks. In: Proceedings of the CSNDSP, Budapest, Hungary (2018)
Cruz-Pérez, F., Vázquez-Ávila, J., Ortigoza-Guerrero, L.: Call blocking probability and bandwidth utilization of OFDM subcarrier allocation in next-generation wireless networks. IEEE Commun. Lett. 8(10), 629–631 (2004)
Moscholios, I.: Congestion probabilities in Erlang-Engset multirate loss models under the multiple fractional channel reservation policy. Image Proces. Commun. 21(1), 35–46 (2016)
Moscholios, I., Vassilakis, V., Logothetis, M.: Call blocking probabilities for Poisson traffic under the multiple fractional channel reservation policy. In: Proceedings of the CSNDSP, Prague, Czech Republic (2016)
Stasiak, M., Glabowski, M.: A simple approximation of the link model with reservation by a one-dimensional Markov chain. Perform. Eval. 41(2–3), 195–208 (2000)
Glabowski, M., Stasiak, M.: Point-to-point blocking probability in switching networks with reservation. Ann. Telecommun. 57(7–8), 798–831 (2002)
Moscholios, I., Vardakas, J., Logothetis, M., Koukias, M.: A quasi-random multirate loss model supporting elastic and adaptive traffic under the bandwidth reservation policy. Int. J. Adv. Netw. Serv. 6(3&4), 163–174 (2013)
Moscholios, I., Logothetis, M., Vardakas, J., Boucouvalas, A.: Congestion probabilities of elastic and adaptive calls in Erlang-Engset multirate loss models under the threshold and bandwidth reservation policies. Comput. Netw. 92(P1), 1–23 (2015)
Pinsky, E., Conway, A.: Computational algorithms for blocking probabilities in circuit-switched networks. Ann. Oper. Res. 35(1), 31–41 (1992)
Choudhury, G., Leung, K., Whitt, W.: An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models. Adv. Appl. Probab. 27(1), 1104–1143 (1995)
Caro, F., Simchi-Levi, D.: Optimal static pricing for a tree network. Ann. Oper. Res. 196(1), 137–152 (2012)
Wang, M., Li, S., Wong, E., Zukerman, M.: Performance analysis of circuit-switched multi-service multi-rate networks with alternative routing. J. Lightwave Technol. 32(2), 179–200 (2014)
Iversen, V.: Review of the convolution algorithm for evaluating service integrated systems. COST-257. Leidschendam, The Netherlands (1997)
Beard, C., Frost, V.: Prioritized resource allocation for stressed networks. IEEE/ACM Trans. Netw. 9(1), 618–633 (2001)
Kaufman, J.: Blocking in a shared resource environment. IEEE Trans. Commun. 29(10), 1474–1481 (1981)
Roberts, J.: A service system with heterogeneous user requirements. In: Performance of Data Communications Systems and Their Applications, North Holland, Amsterdam, pp. 423–431 (1981)
Wang, Z., Mathiopoulos, P., Schober, R.: Channel partitioning policies for multi-class traffic in LEO-MSS. IEEE Trans. Aerosp. Electron. Syst. 45(4), 1320–1334 (2009)
Stasiak, M., Glabowski, M., Wisniewski, A., Zwierzykowski, P.: Modeling and Dimensioning of Mobile Networks. Wiley, West Sussex (2011)
Deng, Y., Prucnal, P.: Performance analysis of heterogeneous optical CDMA networks with bursty traffic and variable power control. IEEE/OSA J. Opt. Commun. Netw. 3(6), 487–492 (2011)
Vardakas, J., Moscholios, I., Logothetis, M., Stylianakis, V.: On code reservation in multi-rate OCDMA passive optical networks. In: Proceedings of the CSNDSP, Poznan, Poland (2012)
Stasiak, M., Parniewicz, D., Zwierzykowski, P.: Traffic engineering for multicast connections in multiservice cellular network. IEEE Trans. Ind. Inform. 9(1), 262–270 (2013)
Khedr, M., Makki Hassan, R.: Opportunistic call admission control for wireless broadband cognitive networks. Wirel. Netw. 20(1), 105–114 (2014)
Moscholios, I., Kallos, G., Vassilakis, V., Logothetis, M.: Congestion probabilities in CDMA-based networks supporting batched Poisson input traffic. Wirel. Pers. Commun. 79(2), 1163–1186 (2014)
Huang, Y., Rosberg, Z., Ko, K., Zukerman, M.: Blocking probability approximations and bounds for best-effort calls in an integrated service system. IEEE Trans. Commun. 63(12), 5014–5026 (2015)
Casares-Giner, V.: Some teletraffic issues in optical burst switching with burst segmentation. Electron. Lett. 52(11), 941–943 (2016)
Moscholios, I., Vassilakis, V., Logothetis, M., Boucouvalas, A.: A probabilistic threshold-based bandwidth sharing policy for wireless multirate loss networks. IEEE Wirel. Commun. Lett. 5(3), 304–307 (2016)
Vassilakis, V., Moscholios, I., Logothetis, M.: Uplink blocking probabilities in priority-based cellular CDMA Networks with finite source population. IEICE Trans. Commun. E99-B(6), 302–1309 (2016)
Moscholios, I.: A multirate loss model for quasi-random traffic under the multiple fractional channel reservation policy. In: Proceedings of the IEICE ICTF, Patras, Greece (2016)
Glabowski, M., Kaliszan, A., Stasiak, M.: Modelling overflow systems with distributed secondary resources. Comput. Netw. 108(10), 171–183 (2016)
Guan, Y., Jiang, H., Gao, M., Bose, S., Shen, G.: Migrating elastic optical networks from standard single-mode fibers to ultra-low loss fibers: strategies and benefits. In: Proceedings of the Optical Fiber Communication Conference, Los Angeles, USA (2017)
Moscholios, I., Vassilakis, V., Logothetis, M., Boucouvalas, A.: State-dependent bandwidth sharing policies for wireless multirate loss networks. IEEE Trans. Wirel. Commun. 16(8), 5481–5497 (2017)
Moscholios, I., Logothetis, M., Shioda, S.: Performance evaluation of multirate Loss systems supporting cooperative users with a probabilistic behavior. IEICE Trans. Commun. E100-B(10), 1778–1788 (2017)
Glabowski, M., Sobieraj, M.: Analytical modelling of multiservice switching networks with multiservice sources and resource management mechanisms. Telecommun. Syst. 66(3), 559–578 (2017)
Hanczewski, S., Stasiak, M., Weissenberg, J.: Non-full-available queueing model of an EON node. Opt. Switching Netw. (2018, accepted)
Simscript III. http://www.simscript.com. Accessed July 2019
Moscholios, I., Logothetis, M.: The Erlang multirate loss model with batched Poisson arrival processes under the bandwidth reservation policy. Comput. Commun. 33(Suppl. 1), S167–S179 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Panagoulias, P.I., Moscholios, I.D., Logothetis, M.D. (2020). Performance Metrics in OFDM Wireless Networks Under the Bandwidth Reservation Policy. In: Choraś, M., Choraś, R. (eds) Image Processing and Communications. IP&C 2019. Advances in Intelligent Systems and Computing, vol 1062. Springer, Cham. https://doi.org/10.1007/978-3-030-31254-1_30
Download citation
DOI: https://doi.org/10.1007/978-3-030-31254-1_30
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-31253-4
Online ISBN: 978-3-030-31254-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)