Titlebook: Handbook of Optimization in Telecommunications; Mauricio G. C. Resende,Panos M. Pardalos Book 2006 Springer-Verlag US 2006 Optimization al

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Nonlinear Programming in Telecommunicationsogramming approaches to modeling and solving certain problems in telecommunications. We emphasize the common aspects of telecommunications and road networks, and indicate that several lessons are to be learned from the field of transportation science, where game theoretic and equilibrium approaches

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Integer Programming for Telecommunicationsputational strategies for solving the integer programming instances are summarized. Techniques such as branching variable selection and node selection schemes are discussed; and the concepts of problem preprocessing and reformulation, heuristics, and continuous reduced-cost fixing are outlined. Thes

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Lagrangian Relax-and-Cut Algorithmsis being used to denote the whole class of Lagrangian Relaxation algorithms where Lagrangian bounds are attempted to be improved by dynamically strengthening relaxations with the introduction of valid constraints (possibly selected from families with exponentially many constraints). In this chapter,

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Multicommodity Network Flow Models and Algorithms in Telecommunicationstions. All the models discussed are expressed in terras of minimum cost multicommodity network flows with appropriate choice of link (or node) cost functions. Various special cases related to practical applications are examined, including the linear case, the linear with fixed cost case, and the cas

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Shortest Path Algorithmsic programming, project management, knapsack problems, routing in data networks, and transportation problems. The scope of this chapter is to provide an extensive treatment of shortest path algorithms covering both classical and recently proposed approaches.

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Multicommodity Flow Problems and Decomposition in Telecommunications Networksswitched networks. We present arc-node and arc-path models and analyze specialized formulations corresponding to hard to solve instances like the minimax congestion problem and the capacity assignment of data networks in the presence of failures. Decomposition methods are studied to cope with the co