Mô hình phân tích kết hợp chuyển đổi bước sóng và FDL tại nút lõi mạng OBS với lưu lượng tổng quát GI
Abstract
Optical Burst Switching networks are considered as an important candidate for the future transport networks. Many analysis models of OBS node with wavelength conversion and FDLs have been proposed recently. In this paper, we propose an approximate analytic model at OBS core node architecture SPL – FF (Share-Per-Link - Feed-Forward) for generally distributed arrivals (GI), including Poisson flow, specifically treating IPP distributed interarrival times. Blocking probability will be calculated based on Markov multi-dimensional models and approximation model. Numerical solution values from the proposed analysis method are compared with simulation, as well as between these models.References
Y. Chen, C. Qiao, and X. Yu, Optical Burst switching: a new area in optical networking research, IEEE Network, vol. 18, no. 3, pp. 16–23, May-June 2004.
Akimaru H., Kawashima K. Teletraffic: Theory and Applications. – Berlin: Springer-Verlag, Germany Pb, 1993.– P. 71–104.
A. Brandt, M. Brandt, On the Moments of Overflow and Freed Carried Traffic for the GI/M/C/0 System, Methodology and Computing in Applied Probability, vol.4, pp. 69-82, March 2002
Conor McArdle, Daniele Tafani and Liam P. Barry, Analysis of a Buffered Optical Switch with General Interarrival Times, JOURNAL OF NETWORKS, VOL. 6, NO. 4, APRIL 2011.
Venkatesh, C. Siva Ram Murthy, An Analytical Approach to Optical Burst Switched Networks, Springer ISBN 978-1-4419-1509-2, Chennai, India, August 2009.
Yoshinori Ozaki and Hideaki Takagi (2010), Analysis of Mixed Loss-Delay M/M/m/K Queueing Systems with State-Dependent Arrival Rates, in Advances in Queueing Theory and Network Applications, W. Yue et al. (eds.), Springer Science+Business Media LLC, pp. 181-194..
ĐẶNG THANH CHƯƠNG, “Một phương pháp tính ma trận tốc độ chuyển trạng thái với mô hình chuyển đổi bước sóng từng phần trong mạng chuyển mạch chùm quang OBS”¸ Kỷ yếu Hội nghị khoa học quốc gia lần thứ V - Nghiên cứu cơ bản và ứng dụng công nghệ thông tin (FAIR), Đồng Nai, tr. 121-131, 2011.
Anatol Kuczura, The Interrupted Poisson Process as an overflow process, The Bell System Technical Journal, 52(3): 437-448, 1973.
Daniele Tafani, (2012), “Analytic Modelling and Resource Dimensioning of Optical Burst Switched Networks”, Doctor of Philosophy, School of Electronic Engineering, Faculty of Engineering and Computing, Dublin City University.
Tien Van Do, Ram Chakka, An efficient method to compute the rate matrix for retrial queues with large number of servers, Applied Mathematics Letters 23, (2010) 638-643.
L. Battestilli, H. Perros, S. Chukova, "Performance evaluation of an OBS network as a IPP/M/W/W network", Applied Mathematical Modelling, vol 39, issues3-4, p 965-981, Feb 2015.