This work proposes algorithms to achieve full mesh connectivity in 4-fiber WDM self-healing rings (SHRs). The number of wavelengths required is calculated for both odd and even number of nodes on the ring and an optimal wavelength assignment algorithm is presented. This algorithm uses a simple matrix approach for calculating the wavelength assignment between nodes on the ring so as to achieve full mesh connectivity while avoiding any possible violation of the color clash constraint.

We quantify the improvement in blocking performance from the use of wavelength-interchange in WDM Rings and their interconnection. We show that using wavelength-interchange in WDM rings can significantly improve (by factors of 100 to 10000) the "fairness" in wavelength assignment between the longer and the shorter paths. More importantly, we found that for larger interconnected WDM rings this improvement can be achieved by including wavelength-interchange capability in just 10 to 20% of the network nodes. Finally, we develop two analytical models, an accurate but complex overflow model and a less accurate but simpler asymptotic model, for calculating the blocking performance of WDM rings with no wavelength-interchange that use the "maximum reuse" algorithm for wavelength assignment.

Dynamic routing of point-to-point connections in a waveband selective linear lightwave network is addressed. Linear lightwave networks are all optical networks in which only linear operations are performed on signals in a waveband selective manner. Special constraints arise because of the linearity in the linear lightwave network. The overall problem of finding a path satisfying all the routing constraints for point-to-point connections is shown to be very complex. Owing to the complexity, the overall routing problem is decomposed into several subproblems. In particular, given a request for a point-to-point connection a waveband is first chosen for the call. Two heuristics, MAXBAND which allocates the most used band to a call and another MINBAND (least used band) are studied. Then, the problem of routing in a given waveband is further divided into smaller subproblems of finding a path in the waveband, checking for feasibility of the path in the chosen waveband and channel allocation (within the waveband). For finding paths in a waveband, K-SP, BLOW-UP and MIN-INT algorithms are proposed. A recursive algorithm checks for feasibility of the path on the waveband. Two channel allocation schemes (within a single waveband) MIN and MAX are presented. Simulations show that using MAXBAND (waveband), MIN-INT (path on waveband) and MIN (channel within waveband) policies resulted in the best performance (least blocking).>

Dynamic routing algorithms are proposed for setting up multicast connections in a linear lightwave network (LLN). The problem of finding a physical path for the multicast connection so as to satisfy all the constraints in the LLN is shown to be NP-complete, and a heuristic approach is presented. An algorithm is presented that decomposes the LLN into edge disjoint trees with at least one spanning tree. A multicast call is allocated a physical path on one of the trees, using the smallest component tree (SCT) or the minimum interference tree (MIT) criterion. Finally, the call is allocated the least used channel from among channels that can be allocated to it. The best performance (low blocking probability) is obtained when the LLN is decomposed into many spanning trees, each of them having a small diameter. It is also found that the selection of trees for each call using the MIT criterion exhibits better performance than with the SCT criterion.>

Routing algorithms are proposed for setting up calls on a circuit-switched basis in linear lightwave networks (LLN), i.e., networks composed only of linear components, including controllable power combiners and dividers, and possibly linear (non-regenerative) optical amplifiers. The overall problem is decomposed into three subproblems: (1) physical path allocation, (2) checking for violations of the special optical constraints on the allocated physical path, and (3) channel assignment. Only point to point connections are considered. The physical path allocation technique uses the K-shortest path algorithm and tries to minimize the number of sources potentially interfering with each other, as a result of the incoming call. A channel assignment heuristic that tends to spread out calls evenly among the available channels works better than one that tries to maximize channel reuse.>

The authors suggest and investigate a general input congestion control scheme that takes into account a broad spectrum of network issues. As a preventive congestion control strategy, a leaky-bucket-type scheme operating on a session basis that limits the session's average rate and the burstiness is proposed. This restrictive control is combined with an optimistic bandwidth usage scheme which works by marking packets into two different colors, green and red. The packets are marked so that the average green packet rate entering the network is at the reserved average rate. The average red packet rate represents traffic in excess of this guaranteed average rate and is sent to further utilize unused bandwidth in the network. Both types of packets are further filtered by a spacer which limits the peak rate at which the packets enter the network. The marked packets are then sent into the network, where they are treated according to their color, using at each intermediate node a simple threshold policy.>