Abstract
In this paper, we consider a joint packet scheduling algorithm for wireless networks and investigate its characteristics. The joint scheduling algorithm is a combination of the Knopp and Humblet (KH) scheduling, which fully exploits multiuser diversity, and the probabilistic weighted round-robin (WRR) scheduling, which does not use multiuser diversity at all. Under the assumption that the wireless channel process for each user is described by the Nakagami-m model, we develop a formula to estimate the tail distribution of the packet delay for an arbitrary user under the joint scheduling. Numerical results exhibit that under the joint scheduling, the ratio of the number of slots assigned for the WRR scheduling to that for the KH scheduling dominates the characteristics of the delay performance.
Similar content being viewed by others
References
Chang, C.-S. (2000). Performance guarantees in communication networks. Springer-Verlag.
Chang C.S., Thomas J.A. (1995). Effective bandwidths in high-speed digital networks. IEEE Journal on Selected Areas in Communications 3: 1091–1100
Elwalid A.I., Mitra D. (1993). Effective bandwidths of general Markovian traffic sources and admission control of high speed networks. IEEE/ACM Transactions on Networks 1: 329–343
Ferrús R., Alonso L., Umbert A., Revés X., Pérez-Romero J., Casadevall F. (2005). Cross-layer scheduling strategy for UMTS downlink enhancement. IEEE on Radio Communications 2(2): 24–28
Hassan M., Krunz M.M., Matta I. (2004). Markov-based channel characterization for tractable performance analysis in wireless packet networks. IEEE Transactions on Wireless Communications 3: 821–831
Ishizaki F., Hwang G.U. (2007). Queuing delay analysis for packet schedulers with/without multiuser diversity over a fading channel. IEEE Transactions on Vehicular Technology 56: 3220–3227
Kelly F.P. (1991). Effective bandwidths at multi-class queues. Queueing Systems 9: 5–16
Kesidis G., Walrand J., Chang C.-S. (1993). Effective bandwidths for multiclass Markov fluids and other ATM sources. IEEE/ACM Transactions on Networks 1: 424–428
Kim S.K., Kang C.G. (2005). Delay analysis of packet scheduling with multi-users diversity in wireless CDMA systems. Wireless Networks 11: 235–241
Knopp, R., & Humblet, P. A. (1995). Information capacity and power control in single-cell multiuser communications. Paper presented at ICC ’95.
Krunz M.M., Kim J.G. (2001). Fluid analysis of delay and packet discard performance of QoS support in wireless networks. IEEE Journal on Selected Areas in Communications 19: 384–395
Liu Q., Zhou S., Giannakis G.B. (2005). Queuing with adaptive modulation and coding over wireless links: Cross-layer analysis and design. IEEE Transactions on Wireless Communications 4: 1142–1153
Qin, X., & Berry, R. (2003). Exploiting multiuser diversity for medium access control in wireless networks. Paper presented at INFOCOM ’03.
Razavilar J., Liu K.J.R., Marcus S.I. (2002). Jointly optimized bit-rate/delay control policy for wireless packet networks with fading channels. IEEE Transactions on Communications 50: 484–494
Shakkottai S., Rappaport T.S., Karlsson P.C. (2003). Cross-layer design for wireless networks. IEEE Communications Magazine 41(10): 74–80
Stüber, G. L. (2001). Principles of mobile communication, 2nd ed., Kluwer.
Wu D., Negi R. (2003). Effective capacity: a wireless link model for support of quality of service. IEEE Transactions on Wireless Communications 2: 630–643
Wu D., Negi R. (2005). Utilizing multiuser diversity for efficient support of quality of service over a fading channel. IEEE Transactions on Vehicular Technology 54: 1198–1206
Yang L., Kang M., Alouini M.-S. (2007). On the capacity-fairness tradeoff in multiuser diversity systems. IEEE Transactions on Vehicular Technology 56: 1901–1907
Zang X., Tang J., Chen H.-H, Ci S., Guizani M. (2006). Cross-layer-based modeling for quality of service guarantees in mobile wireless networks. IEEE Communications Magazine 44(1): 100–106
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ishizaki, F., Hwang, G.U. Queueing Delay Analysis for the Joint Scheduling Exploiting Multiuser Diversity over a Fading Channel. Wireless Pers Commun 46, 397–411 (2008). https://doi.org/10.1007/s11277-007-9442-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-007-9442-5