Explaining how to apply mathematical programming to network design and control, this book fills the gap between mathematical programming theory and its implementation in communication networks. The book's comprehensive coverage provides an understanding of the fundamentals of mathematical programming for communication networks all the way through to more advanced concepts. Using the GNU Linear Programming Kit (GLPK) package, which is designed for solving linear programming and mixed integer programming problems, it explains typical problems and provides solutions for communication networks. The text includes practical algorithms and sufficient programs to encourage GLPK usage.

Eiji Oki is an Associate Professor at the University of Electro-Communications, Tokyo, Japan. He received the B.E. and M.E. degrees in instrumentation engineering and a Ph.D. degree in electrical engineering from Keio University, Yokohama, Japan, in 1991, 1993, and 1999, respectively. In 1993, he joined Nippon Telegraph and Telephone Corporation (NTT) Communication Switching Laboratories, Tokyo, Japan. He has been researching network design and control, traffic-control methods, and high-speed switching systems. From 2000 to 2001, he was a Visiting Scholar at the Polytechnic Institute of New York University, Brooklyn, New York, where he was involved in designing terabit switch/router systems. He was engaged in researching and developing high-speed optical IP backbone networks with NTT Laboratories. He joined the University of Electro-Communications, Tokyo, Japan, in July 2008.

He has been active in THE standardization of path computation element (PCE) and GMPLS in IETF. He wrote more than ten IETF RFCs and drafts. He served as a Guest Co-Editor for the Special Issue on "Multi-Domain Optical Networks: Issues and Challenges," June 2008, in IEEE Communications Magazine; a Guest Co-Editor for the Special Issue on Routing, "Path Computation and Traffic Engineering in Future Internet," December 2007, in the Journal of Communications and Networks; a Guest Co-Editor for the Special Section on "Photonic Network Technologies in Terabit Network Era," April 2011, in IEICE Transactions on Communications; a Technical Program Committee (TPC) Co-Chair for the Workshop on High-Performance Switching and Routing in 2006, 2010 and 2012; a Track Co-Chair on Optical Networking for ICCCN 2009; a TPC Co-Chair for the International Conference on IP+Optical Network (iPOP 2010); and a Co-Chair of Optical Networks and Systems Symposium for IEEE International Conference on Communications (ICC 2011).

Prof. Oki was the recipient of the 1998 Swi

Optimization problems for communication networks. Basics of mathematical programming. GLPK (GNU Linear Programming Kit). Basic problems for communication networks. Disjoint Path Routing. Optical wavelength-routed network. Routing and traffic-demand model. IP routing. Routing with Network Coding Effect.