On the Functional Relationship between Channel Holding Time and Cell Dwell Time in Mobile Cellular Networks

In this paper, under the assumption that the unencumbered service time is exponentially distributed, a novel algebraic set of general equations that examines the relationships between cell dwell time (CDT) and residual cell dwell time as well as between cell dwell time and channel holding time (CHT) are derived. This work includes relevant new analytical results and insights into the dependence of CHT characteristics on the CDT distribution. For instance, it is found that when CDT is Coxian or hyper-exponentially distributed, CHT is also Coxian or hyper-exponentially distributed, respectively.

[1]  Attahiru Sule Alfa,et al.  Computationally efficient method for analyzing guard channel schemes , 2009, Telecommun. Syst..

[2]  Ozan K. Tonguz,et al.  Performance implications of Pareto-distributed cell residual time in distributed admission control scheme (DACS) , 2005, IEEE Wireless Communications and Networking Conference, 2005.

[3]  Djamal Zeghlache,et al.  Effect of cell residence time distribution on the performance of cellular mobile networks , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[4]  Yi-Bing Lin,et al.  Queueing priority channel assignment strategies for PCS hand-off and initial access , 1994 .

[5]  Yuguang Fang,et al.  Teletraffic analysis and mobility modeling of PCS networks , 1999, IEEE Trans. Commun..

[6]  S. Wittevrongel,et al.  Queueing Systems , 2019, Introduction to Stochastic Processes and Simulation.

[7]  Yuguang Fang,et al.  Modeling PCS networks under general call holding time and cell residence time distributions , 1997, TNET.

[8]  Yuguang Fang,et al.  Channel Occupancy Times and Handoff Rate for Mobile Computing and PCS Networks , 1998, IEEE Trans. Computers.

[9]  Stephen S. Rappaport,et al.  Traffic performance and mobility modeling of cellular communications with mixed platforms and highly variable mobilities , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[10]  Felipe A. Cruz-Pérez,et al.  Channel holding time in mobile cellular networks with generalized Coxian distributed cell dwell time , 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[11]  Villy Bæk Iversen,et al.  Phase-type models of channel-holding times in cellular communication systems , 2004, IEEE Transactions on Vehicular Technology.

[12]  Pingzhi Fan,et al.  Channel Holding Time in Wireless Cellular Communications with General Distributed Session Time and Dwell Time , 2007, IEEE Communications Letters.

[13]  Stephen S. Rappaport,et al.  Traffic performance and mobility modeling of cellular communications with mixed platforms and highly variable mobilities , 1998 .

[14]  Taghi M. Khoshgoftaar,et al.  Approximating general distributions by a uniform coxian distribution , 1988 .

[15]  Yuguang Fang,et al.  Hyper-Erlang Distribution Model and its Application in Wireless Mobile Networks , 2001, Wirel. Networks.

[16]  Stephen S. Rappaport,et al.  Traffic model and performance analysis for cellular mobile radio telephone systems with prioritized and nonprioritized handoff procedures , 1986, IEEE Transactions on Vehicular Technology.

[17]  H. Hidaka.  Self-Similarity in Cell Dwell Time Caused by Terminal Motion and Its Effects on Teletraffic of Cellular Communication Networks , 2002 .

[18]  J. A. Barria,et al.  A Coxian model for channel holding time distribution for teletraffic mobility modeling , 2000, IEEE Communications Letters.

[19]  Hoon Choi,et al.  A Mobility Model and Performance Analysis in Wireless Cellular Network with General Distribution and Multi-Cell Model , 2010, Wirel. Pers. Commun..

[20]  Yuguang Fang,et al.  Modeling and performance analysis for wireless mobile networks: a new analytical approach , 2005, IEEE/ACM Transactions on Networking.

[21]  Stephen S. Rappaport,et al.  A model for teletraffic performance and channel holding time characterization in wireless cellular communication with general session and dwell time distributions , 1998, IEEE J. Sel. Areas Commun..

[22]  Yuguang Fang,et al.  Performance evaluation of wireless cellular networks under more realistic assumptions , 2005, Wirel. Commun. Mob. Comput..

[23]  Yuguang Fang,et al.  Call Blocking Performance Study for PCS Networks under More Realistic Mobility Assumptions , 2002, Telecommun. Syst..

[24]  Attahiru Sule Alfa,et al.  A Homogeneous PCS network with Markov Call Arrival Process and Phase Type Cell Residence Time , 2002, Wirel. Networks.

[25]  Valentine A. Aalo,et al.  Evaluation of Call Performance in Cellular Networks With Generalized Cell Dwell Time and Call-Holding Time Distributions in the Presence of Channel Fading , 2009, IEEE Transactions on Vehicular Technology.

[26]  Yuguang Fang,et al.  Call Performance for a PCS Network , 1997, IEEE J. Sel. Areas Commun..

[27]  Michael A. Johnson,et al.  Matching moments to phase distri-butions: mixtures of Erlang distribution of common order , 1989 .

[28]  Chi-Hyuck Jun,et al.  Teletraffic analysis of cellular communication systems with general mobility based on hyper-Erlang characterization , 2002 .

[29]  Valentine A. Aalo,et al.  Call Completion Probability with Weibull Distributed Call Holding Time and Cell Dwell Time , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[30]  Stephen S. Rappaport,et al.  Traffic Model and Performance Analysis for Cellular Mobile Radio Telephone Systems with Prioritized and Nonprioritized Handoff Procedures - Version 2a , 2000 .