Computer Networks and Systems: Queueing Theory and Performance Evaluation
Computer Networks and Systems: Queueing Theory and Performance Evaluation
A mean-field model for multiple TCP connections through a buffer implementing RED
Performance Evaluation
Wavelength and time domain exploitation for QoS management in optical packet switches
Computer Networks: The International Journal of Computer and Telecommunications Networking - QoS in multiservice IP networks
Balancing Queues by Mean Field Interaction
Queueing Systems: Theory and Applications
Performance analysis of an ingress switch in a JumpStart optical burst switching network
Performance Evaluation
A Generic Mean Field Convergence Result for Systems of Interacting Objects
QEST '07 Proceedings of the Fourth International Conference on Quantitative Evaluation of Systems
Analysis of a reputation system for Mobile Ad-Hoc Networks with liars
Performance Evaluation
Performance of random medium access control, an asymptotic approach
SIGMETRICS '08 Proceedings of the 2008 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
IEEE Journal on Selected Areas in Communications - Part Supplement
Proceedings of the 12th ACM SIGMETRICS/PERFORMANCE joint international conference on Measurement and Modeling of Computer Systems
Tackling continuous state-space explosion in a Markovian process algebra
Theoretical Computer Science
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This paper analyzes an optical switch with centralized partial wavelength conversion by means of a mean field model. The model can be used to approximate the behavior of a switch with a large number of output wavelengths, and it becomes more accurate as the number of wavelengths increases. At each wavelength, packets arrive according to a Markovian arrival process, and their size follows a general distribution with finite support. Moreover, these traffic characteristics may be different for each output port. The model provides insight into the effect of the traffic parameters on the packet loss probability, which is considered the main performance measure. In particular, we have found that, if the arrival process is Bernoulli, the loss probability is affected by the packet-size distribution only through its mean. This is no longer the case if the arrivals follow a more general Markovian process, although we have found that even in this case the loss probability is hardly sensitive to the packet-size distribution. Also, under Bernoulli arrivals we provide a closed expression for the minimum conversion ratio required to attain zero losses when the number of wavelengths tends to infinity. For Markovian arrivals we are able to compute this ratio with a single run of the mean field model.