Retrial queuing models of multi-wavelength FDL feedback optical buffers

Date
2011
Authors
Akar, N.
Sohraby, K.
Advisor
Instructor
Source Title
IEEE Transactions on Communications
Print ISSN
0090-6778
Electronic ISSN
Publisher
Institute of Electrical and Electronics Engineers
Volume
59
Issue
10
Pages
2832 - 2840
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

Optical buffers based on Fiber Delay Lines (FDL) have been proposed for contention resolution in optical packet/burst switching systems. In this article, we propose a retrial queuing model for FDL optical buffers in asynchronous optical switching nodes. In the considered system, the reservation model employed is of post-reservation type and optical packets are allowed to re-circulate over the FDLs in a probabilistic manner. We combine the MMPP-based overflow traffic models of the classical circuit switching literature and fixed-point iterations to devise an algorithmic procedure to accurately estimate blocking probabilities as a function of various buffer parameters in the system when packet arrivals are Poisson and packet lengths are exponentially distributed. The proposed algorithm is both accurate and fast, allowing one to use the procedure to dimension optical buffers in next-generation optical packet switching systems.

Course
Other identifiers
Book Title
Keywords
Fiber Delay Line (FDL) re-circulation buffer, Markov modulated Poisson process, Optical burst switching, Optical packet switching, Retrial queues, Markov modulated Poisson process, Recirculations, Poisson distribution, Queueing theory, Switching systems
Citation
Published Version (Please cite this version)