Single Hysteresis Model for Limited-availability Group with BPP Traffic

Authors

DOI:

https://doi.org/10.26636/jtit.2013.3.1228

Keywords:

hysteresis mechanism, limited-availability group, multiservice BPP traffic, threshold models, WCDMA radio interface

Abstract

This paper presents a single hysteresis model for limited-availability group that are offered Erlang, Engset and Pascal traffic streams. The occupancy distribution in the system is approximated by a weighted sum of occupancy distributions in multi-threshold systems. Distribution weights are obtained on the basis of a specially constructed Markovian switching process. The results of the calculations of radio interfaces in which the single hysteresis mechanism has been implemented are compared with the results of the simulation experiments. The study demonstrates high accuracy of the proposed model.

Downloads

Download data is not yet available.

References

[1] M. Stasiak, M. Głąbowski, A. Wiśniewski, and P. Zwierzykowski, Modeling and Dimensioning of Mobile Networks: from GSM to LTE. Chichester: Wiley, 2011.
View in Google Scholar

[2] J. Roberts, „Teletraffic models for the Telcom 1 integrated services network”, in Proc. 10th Int. Teletraf. Congr. ITC 83, Montreal, Canada, 1983, p. 1.1.2.
View in Google Scholar

[3] M. Pióro, J. Lubacz, and U. Körner, „Traffic engineering problems in multiservice circuit switched networks”, Comput. Netw. ISDN Syst., vol. 20, pp. 127-136, 1990.
View in Google Scholar

[4] V. Iversen, „Teletraffic Engineering and Network Planning”, Lyngby, Technical University of Denmark, 2009.
View in Google Scholar

[5] Q. Huang and V. Iversen, „Approximation of loss calculation for hierarchical networks with multiservice overflows”, IEEE Trans. Commun., vol. 56, no. 3, pp. 466-473, 2008.
View in Google Scholar

[6] M. Głąbowski, K. Kubasik, and M. Stasiak, „Modeling of systems with overflow multi-rate traffic”, Telecommun. Systems, vol. 37, no. 1-3, pp. 85-96, 2008.
View in Google Scholar

[7] H. Holma and A. Toskala, WCDMA for UMTS: HSPA Evolution and LTE, 5th ed. Chichester: Wiley, 2010.
View in Google Scholar

[8] V. Vassilakis, I. Moscholios, and M. D. Logothetis, „Call-level performance modelling of elastic and adaptive service-classes with finite population”, IEICE Trans. Commun., vol. E91-B, no. 1, pp. 151-163, 2008.
View in Google Scholar

[9] J. Kaufman, „Blocking with retrials in a completely shared resource environment”, Perform. Eval., vol. 15, no. 2, pp. 99-113, 1992.
View in Google Scholar

[10] M. Głąbowski, A. Kaliszan, and M. Stasiak, „Modeling product form state-dependent systems with BPP traffic”, Perform. Eval., vol. 67, no. 2, pp. 174-197, 2010.
View in Google Scholar

[11] M. Sobieraj, M. Stasiak, J. Weissenberg, and P. Zwierzykowski, „Analytical model of the single threshold mechanism with hysteresis for multi-service networks”, IEICE Trans. Commun., vol. 95, no. 1, pp. 120-132, 2012.
View in Google Scholar

[12] M. Sobieraj, M. Stasiak, and P. Zwierzykowski, „Model of the threshold mechanism with double hysteresis for multi-service networks”, in Communications in Computer and Information Science, vol. 291, A. Kwiecień, P. Gaj, and P. Stera, Eds. Springer, 2012, pp. 299-313.
View in Google Scholar

[13] M. Stasiak, M. Sobieraj, J. Weissenberg, and P. Zwierzykowski, „Single hysteresis model for multi-service networks with BPP traffic”, in Proc. 17th Polish Teletraf. Symp., Zakopane, Poland, 2012, pp. 53-58.
View in Google Scholar

[14] J. Roberts, U. Mocci, and J. Virtamo, Eds., Broadband Network Teletraffic, Final Report of Action COST 242. Berlin: Springer, 1996.
View in Google Scholar

[15] M. Stasiak, „Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams”, Annales des Télécommunications, vol. 51, no. 11-12, pp. 611-625, 1996.
View in Google Scholar

Downloads

Submitted

2023-06-28

Published

2013-09-30

Issue

Section

ARTICLES FROM THIS ISSUE

How to Cite

[1]
M. Sobieraj, M. Stasiak, J. Weissenberg, and P. Zwierzykowski, “Single Hysteresis Model for Limited-availability Group with BPP Traffic”, JTIT, vol. 53, no. 3, pp. 89–96, Sep. 2013, doi: 10.26636/jtit.2013.3.1228.

Most read articles by the same author(s)

1 2 > >>