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We consider routing and wavelength assignment in ring, torus, and tree topologies with the twin objectives of minimizing wavelength usage and maximizing optical bypass. The P-port dynamic traffic assumption is used, which allows each node to send and receive at most P calls. For rings we show that P N/4 wavelengths are necessary and sufficient, and provide… (More)

— We consider the problem of wavelength assignment in a reconfigurable bi-directional ring network with wavelength converters. We show that for N-node P-port bidirectional rings, a minimum number of P N/4 wavelengths are required to support all possible virtual topologies in a rearrangeably non-blocking fashion, and provide an algorithm that meets this… (More)

We consider the problem of wavelength assignment in reconfigurable WDM networks with wavelength converters. We show that for <i>N</i>-node <i>P</i>-port bidirectional rings, a minimum number of ⌈<i>PN</i>/4⌉ wavelengths are required to support all possible connected virtual topologies in a rearrangeably nonblocking fashion, and provide an… (More)

— We compare the effectiveness of uniform versus non-uniform waveband switching under the dual cost metrics of switching requirements and fiber capacity. We consider a star topology and begin by characterizing the optimal performance frontier achievable under no restrictions on waveband sizing, and provide algorithms employing non-uniform waveband sizing… (More)

— Switching traffic together in bundles of wavelengths called wavebands can greatly reduce the switching costs of the network. We consider the problem of partitioning wavelengths into wavebands for star networks using the minimum number of total wavebands. We provide a greedy algorithm for waveband partitioning and show that it is optimal in that it… (More)

We compare the effectiveness of uniform versus non-uniform waveband switching under the dual cost metrics of switching requirements and fiber capacity. We consider a star topology and begin by characterizing the optimal performance frontier achievable under no restrictions on waveband sizing, and provide algorithms employing non-uniform waveband sizing that… (More)

- Liwei Chen, Steven G Krantz, Carl M Bender, Quo-Shin Chi, Renato Feres, Xiang Tang +1 other
- 2015

- Li-Wei Chen, Eytan Modiano
- 2006

— In this paper, we use an asymptotic analysis similar to the sphere-packing argument in the proof of Shannon's channel capacity theorem to derive optimal pro-visioning requirements for networks with both static and dynamic provisioning. We consider an N-user shared-link model where W s wavelengths are statically assigned to each user, and a common pool of… (More)

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