Article Information  
A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method

Keywords: Access Control, MGM, Slotted Ring Network, Throughput, MPAD.

Mehran University Research Journal of Engineering & Technology

Volume 30 ,  Issue 1

Syed Asif  Ali  Shah , Wajiha   Shah , Ahsan  Ahmad  Ursani ,

References
1. Peter, J.B.K., and Mitrani, I., "Modeling a Slotted Ring Local Area Network", IEEE Transactions on Computers, Volume 36, No. 5, pp. 554-56, May, 1987.
2. Marsan, M.A., Bianco, A., Abos, E.G., and Leonardi, E., "A Comparison of Access Strategies in All-Optical Slotted WDM Rings with Switched Delay Lines", Journal of High Speed Networks, Volume 6, No. 4, pp. 237-246, 1997.
3. Bhuyan, L.N., Ghosal, D., and Yang, Q., "Approximate Analysis of Single and Multiple Ring Networks", IEEE Transactions on Computers, Volume 38, No. 7, pp. 1027-1040, 1989.
4. Yamazaki, G., Kobayashi, N., Takagi, H., and Wolff, R.W., "Performance analysis of a Slotted Ring LAN by a Single-Buffer Model", Electronics and Communications in Japan (Part I: Communications), Volume 77, No. 5, pp. 1-11, Japan, 2007.
5. Arem, B.V., "On Stability of Queueing Models for Slotted Ring Local Area Networks", INFOCOM, pp. 749-755, San Francisco, CA, USA, 1990.
6. Chan, W.C., "Performance Analysis of Telecommunications and Local Area Networks", Kluwer Academic Publishers, Boston, USA, 2000.
7. Woodward, M.E., "Modelling with Discrete-Time Queues, Communication and Computer Networks", California, USA, 1993.
8. Syed A.A.S., "Performance Modeling and Congestion Control Through Discrete-Time Queueing", Ph.D. Thesis, Faculty of Electrical Engineering and Information Technology, Vienna University of Technology, Wien, Austria, April, 2010.
9. Bini, D.A., Latouche, G., and Meini, B., "Numerical Methods for Structured Markov Chains", Oxford University Press, USA, 2005.
10. Shah, W., "Performance Modelling of Queueing Systems Using Matrix Geometric Method", Ph.D. Thesis, Faculty of Electrical Engineering and Information Technology, Vienna University of Technology, Wien, Austria, April, 2010.
11. Gun, L., and Makowski, A., "Matrix Geoemtric Solution for Finite Capacity Queues with Phase-Type Distributions", Proceedings of Twelfth IFIP WG 7.3 International Symposium on Computer Performance Modelling, Brussels, Belgium, December 7-9, 1987.
12. Horn, R.A.and Johnson, C.R., "Matrix Analysis", Cambridge, United Kingdom, 1987.
13. Neuts, M.F., "The Probabilistic Significance of Rate Matrix in Matrix Geometric Invariant Vectors", Journal of Applied Problems, Volume 17, pp. 13-26, 1980.
14. Ramasawami, V., and Latouche, G., "A General Class of Markov Processes with Explicit Matrix Geometric Solutions", Operations Research Spectrum, Volume 8, pp. 209-218, Springer, Berlin, 1986.
15. Arem, B.V., and Doorn, E.A.V., "Analysis of a Queueing Model for Slotted Ring Networks", pp. 309-314, Elsevier, North Holland, 1990.
16. Gun, L., "Experimental Results on Matrix Analytical Solution Techniques", Communications in Statistics Models, Volume 5, pp. 669-682, Padova, Italy, 1989
17. Akar, N., Oguz, N., and Sohraby, K., "A Novel Computational Method for Solving Finite QBD Processes", Communication in Statistic, Statistic Model, KC, Missouri, USA, March 2000.