Synopses & Reviews
This book studies the problem of designing, at minimal cost, a two-connected network such that each edge belongs to a cycle of bounded length. This problem arises in the long-term planning of telecommunications networks. The book provides an in-depth study of the underlying polyhedron, proposing several classes of facet-defining inequalities that are used in a branch-and-cut algorithm. Several heuristics are also proposed in order to solve real-world instances of the problem, and extensive numerical results are reported. The polyhedral analysis is done in the best mathematical programming tradition. Results obtained here demonstrate how to use polyhedral theory for practical network design problems, and are therefore of interest for mathematical programming practitioners as an application of classical theoretical concepts. Moreover, telecommunications specialists can find practical solutions to real-world problems, as several heuristics are proposed that can be easily extended to related problems. Audience: Operations research and mathematical programming researchers, and telecommunications specialists.
Review
`In summary, this is a good book to see how integer programming is used in real-life applications.' Mathematical Reviews, 2001
Review
`In summary, this is a good book to see how integer programming is used in real-life applications.'
Mathematical Reviews, 2001
Synopsis
These days, the nature of services and the volume of demand in the telecommu nication industry is changing radically, with the replacement of analog transmis sion and traditional copper cables by digital technology and fiber optic transmis sion equipment. Moreover, we see an increasing competition among providers of telecommunication services, and the development of a broad range of new services for users, combining voice, data, graphics and video. Telecommunication network planning has thus become an important problem area for developing and applying optimization models. Telephone companies have initiated extensive modeling and planning efforts to expand and upgrade their transmission facilities, which are, for most national telecommunication networks, divided in three main levels (see Balakrishnan et al. 5]), namely, l. the long-distance or backbone network that typically connects city pairs through gateway nodes; 2. the inter-office or switching center network within each city, that interconnects switching centers in different subdivisions (clusters of customers) and provides access to the gateway(s) node(s); 1 2 DESIGN OF SURVNABLE NETWORKS WITH BOUNDED RINGS 3. the local access network that connects individual subscribers belonging to a cluster to the corresponding switching center. These three levels differ in several ways including their design criteria. Ideally, the design of a telecommunication network should simultaneously account for these three levels. However, to simplify the planning task, the overall planning problem is decomposed by considering each level separately."
Description
Includes bibliographical references (p. 193-200) and index.
Table of Contents
List of Figures. List of Tables. Acknowledgements. 1. Introduction. 2. Survivable Network Design: A Survey. 3. Two-Connected Networks with Bounded Rings: The Model. 4. Polyhedral Study. 5. The Special Case of Rings with Bounded Cardinality. 6. A Branch-and-Cut Algorithm. 7. Heuristics. 8. Computational Results. 9. Conclusion. Appendices. References. Index.