IntroductionTraffic grooming is the field of study that is concerned with the development of algorithms and protocols for the design, operation, and control of networks with multigranular bandwidth demands [12]. As the number of logical entities (including sub-wavelength channels, wavelengths, wavebands, and fibers) that need to be controlled in a multigranular network increases rapidly with the network size, wavelength capacity, and load, a scalable framework for managing these entities becomes a sine qua non for future wide area WDM networks.Several variants of the traffic grooming problem have been studied in the literature under a range of assumptions regarding the network topology, the nature of traffic, and the optical and electronic switching model [11,13,16,18-21, 25, 26]. Typically, an integer linear programming (ILP) formulation serves as the basis for reasoning about and tackling the problem. Unfortunately, solving the ILP directly does not scale to instances with more than a handful of nodes, and cannot be applied to networks of practical size covering a national or international geographical area. Consequently, either the ILP is tackled using standard relaxation techniques, or the problem is decomposed into subproblems which are solved using heuristics.Most of the above studies regard the network as a flat entity for the purposes of lightpath routing, wavelength assignment, and traffic grooming. It is well-known, however, that in existing networks resources are typically managed and controlled in a hierarchical manner. The levels of the hierarchy either reflect the underlying organizational structure of the network or are designed in order to ensure scalability of the control and management functions. Accordingly, several studies have adopted a variety of hierarchical approaches to traffic grooming that, by virtue of decomposing the network, scale well and are more compatible with the manner in which networks operate in practice.The rest of this chapter is organized as follows. In Section 1.2 we survey hierarchical traffic grooming techniques for networks with a special topology.