Exact Analysis of Single-Wavelength Optical Buffers With Feedback Markov Fluid Queues

• Published in: Journal of optical communications and networking Vol. 1; no. 6; pp. 530 - 542
• Main Authors: Kankaya, H.E., Akar, N.
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.11.2009; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Arrivals; Buffer; Buffers; Computational fluid dynamics; Delay lines; Feedback; Feedback fluid queues; Fiber delay line (FDL); Fluid flow; Fluids; Internet; Mathematical models; Optical buffering; Optical burst switching; Optical feedback; Optical fiber devices; Optical packet switching; Optical wavelength conversion; Optimized production technology; Queueing analysis; Queues
• ISSN: 1943-0620; 1943-0639
• DOI: 10.1364/JOCN.1.000530

Optical buffering via fiber delay lines is used for contention resolution in optical packet and optical burst switching nodes. This article addresses the problem of exactly finding the blocking probabilities in an asynchronous single-wavelength optical buffer. Packet lengths are assumed to be variable and modeled by phase-type distributions, whereas the packet arrival process is modeled by a Markovian arrival process that can capture autocorrelations in interarrival times. The exact solution is based on the theory of feedback fluid queues for which we propose numerically efficient and stable algorithms. We not only find the packet blocking probabilities but also the entire distribution of the unfinished work in this system from which all performance measures of interest can be derived.