Derivatives of Blocking Probabilities in Multirate Access Tree Networks

• Autorzy: Moscholios I. D. , Vardakas J. S. , Logothetis M. D. , Boucouvalas A. C.
• Języki publikacji: EN

Abstrakty

EN

We consider a multirate access tree network accommodating service-classes of Poisson traffic, and focus on the determination of derivatives of Call Blocking Probabilities (CBP) with respect to offered traffic-load of any service-class. Based on the derivatives, we further show how we can successfully approximate CBP for small variations of offered traffic-load.

Słowa kluczowe

EN

call blocking; derivatives; Poisson; loss model; Access Tree Network

• Wydawca: Publishing House of Poznan University of Technology
• Czasopismo: Advances in Electronics and Telecommunications
• Rocznik: 2013
• Tom: Vol. 3, no. 5
• Strony: 38--48
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Moscholios I. D.

• Dept. of Informatics & Telecommunications, University of Peloponnese, 221 00 Tripolis, Greece

autor

Vardakas J. S.

• WCL, Dept. of Electrical and Computer Engineering, University of Patras, 265 04 Patras, Greece

autor

Logothetis M. D.

• WCL, Dept. of Electrical and Computer Engineering, University of Patras, 265 04 Patras, Greece

autor

Boucouvalas A. C.

• Dept. of Informatics & Telecommunications, University of Peloponnese, 221 00 Tripolis, Greece

Bibliografia

• [1] F. Kelly, “Routing and capacity allocation in networks with trunk reservation,” Mathematics of Operations Research, vol. 15, no. 4, pp. 771–793, 1990.
• [2] K. Ross, Multiservice Loss Models for Broadband Telecommunication Networks. Springer, 1995. MOSCHOLIOS et al.: DERIVATIVES OF BLOCKING PROBABILITIES IN MULTIRATE ACCESS TREE NETWORKS 43
• [3] J. Ni, D. Tsang, S. Tatikonda, and B. Bensaou, “Threshold and reservation based call admission control policies for multiservice resourcesharing systems,” in Proc. IEEE INFOCOM, 2005, pp. 773–783.
• [4] J. Kaufman, “Blocking in a shared resource environment,” IEEE Trans. Commun., vol. 29, no. 10, pp. 1474–1481, 1981.
• [5] J. Roberts, Proceedings of Performance of Data Communications systems and their Applications. Amsterdam: North Holland, 1981, ch. A service system with heterogeneous user requirements, pp. 423–431.
• [6] G. Fodor and M. Telek, “Bounding the blocking probabilities in multirate cdma networks supporting elastic services,” IEEE/ACM Trans. Netw., vol. 15, no. 4, pp. 944–956, Aug. 2007.
• [7] M. Glabowski, M. Stasiak, A. Wisniewski, and P. Zwierzykowski, “Blocking probability calculation for cellular systems with WCDMA radio interface servicing PCT1 and PCT2 multirate traffic,” IEICE Trans. Commun, vol. E92-B, no. 4, pp. 1156–1165, Apr. 2009.
• [8] M. Glabowski, A. Kaliszan, and M. Stasiak, “Modeling product-form state-dependent systems with BPP traffic,” Performance Evaluation, vol. 67, no. 3, pp. 174–197, Mar. 2010.
• [9] J. Vardakas, I. Moscholios, M. Logothetis, and V. Stylianakis, “An analytical approach for dynamic wavelength allocation in WDM-TDMAPONs servicing ON-OFF traffic,” IEEE/OSA Journal of Optical Commun. and Netw., vol. 3, no. 4, pp. 347–358, Apr. 2011.
• [10] I. Moscholios, J. Vardakas, M. Logothetis, and A. Boucouvalas, “Abatched poisson multirate loss model supporting elastic traffic under the bandwidth reservation policy,” in Proc. IEEE Inter. Conf. on Commun., ICC, Jun. 2011.
• [11] J. Vardakas, I. Moscholios, M. Logothetis, and V. Stylianakis, “Blocking performance of multi-rate OCDMA PONs,” in Proc. 3rd Int. Conf. on Emerging Network Intelligence, EMERGING, Nov. 2011.
• [12] —, “On code reservation in multi-rate OCDMA passive optical networks,” in Proc. 8th IEEE Int. Symp. on Commun. Systems, Networks and Digital Signal Processing,CSNDSP, Jul. 2012.
• [13] M. Glabowski, M. Stasiak, and J. Weissenberg, “Properties of recurrent equations for the full-availability group with BPP traffic,” Mathematical Problems in Engineering, vol. 2012, p. 17, 2012, article ID 547909.
• [14] I. Moscholios, V. Vassilakis, J. Vardakas, and M. Logothetis, “Call blocking probabilities of elastic and adaptive traffic with retrials,” in Proc. 8th Advanced Int. Conf. on Telecommunications, AICT, Jun. 2012.
• [15] M. Glabowski, M. Sobieraj, and M. Stasiak, “Modelling limitedavailability systems with multi-service sources and bandwidth reservation,” in Proc. 8th Advanced Int. Conf. on Telecommunications, AICT, Jun. 2012.
• [16] D. Tsang and K. Ross, “Algorithms to determine exact blocking probabilities for multirate tree networks,” IEEE Trans. Commun., vol. 38, no. 8, pp. 1266–1271, 1990.
• [17] F. Kelly, “Blocking probabilities in large circuit-switched networks,” Adv. Appl. Prob., vol. 18, pp. 473–505, 1986.
• [18] J. Virtamo, “Partial sharing access control policy in switching two different traffics in an integrated network,” COST 214, Tech. Rep., 1986.
• [19] —, “Reciprocity of blocking probabilities in multiservice loss systems,” IEEE Trans. Commun., vol. 36, no. 10, pp. 1257–1260, 1988.
• [20] V. Iversen and S. Stepanov, “Derivatives of blocking probabilities for multi-service loss systems and their applications,” LNCS, vol. 4712, pp. 260–268, 2007.
• [21] I. Moscholios, J. Vardakas, M. Logothetis, and A. Boucouvalas, “Qosguarantee in the erlang multirate loss model based on derivatives of blocking probabilities,” in Proc. 7th Int. Symposium on Commun. Systems, Networks and Digital Signal Processing, CSNDSP, Jul. 2010.
• [22] —, “New algorithms for performance measures derivatives in the erlang multirate loss model including the bandwidth reservation policy,” Mediterranean Journal of Computers and Networks, vol. 7, no. 4, pp. 304–316, Oct. 2011.