1st Edition

Linear Programming and Algorithms for Communication Networks A Practical Guide to Network Design, Control, and Management

By Eiji Oki Copyright 2013
    208 Pages 95 B/W Illustrations
    by CRC Press

    208 Pages 95 B/W Illustrations
    by CRC Press

    Explaining how to apply to mathematical programming to network design and control, Linear Programming and Algorithms for Communication Networks: A Practical Guide to Network Design, Control, and Management fills the gap between mathematical programming theory and its implementation in communication networks. From the basics all the way through to more advanced concepts, its comprehensive coverage provides readers with a solid foundation in mathematical programming for communication networks.

    Addressing optimization problems for communication networks, including the shortest path problem, max flow problem, and minimum-cost flow problem, the book covers the fundamentals of linear programming and integer linear programming required to address a wide range of problems. It also:

    • Examines several problems on finding disjoint paths for reliable communications
    • Addresses optimization problems in optical wavelength-routed networks
    • Describes several routing strategies for maximizing network utilization for various traffic-demand models
    • Considers routing problems in Internet Protocol (IP) networks
    • Presents mathematical puzzles that can be tackled by integer linear programming (ILP)

    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 book provides algorithms for these problems as well as helpful examples with demonstrations. Once you gain an understanding of how to solve LP problems for communication networks using the GLPK descriptions in this book, you will also be able to easily apply your knowledge to other solvers.

    Optimization Problems for Communications Networks
    Shortest path problem
    Max flow problem
    Minimum-cost flow problem

    Basics of Linear Programming
    Optimization problem
    Linear programming problem
    Simplex method
    Dual problem
    Integer linear programming problem

    GLPK (GNU Linear Programming Kit)
    How to obtain GLPKand install it
    Usage of GLPK

    Basic Problems for Communication Networks
    Shortest path problem
         Linear programming problem 
         Dijkstra’s algorithm 
         Bellman-Ford algorithm
    Max flow problem 
         Linear programming problem 
         Ford-Fulkerson algorithm 
         Max flow and minimum cut
    Minimum-cost flow problem 
         Linear programming problem 
         Cycle-canceling algorithm
    Relationship among three problems

    Disjoint Path Routing
    Basic disjoint path problem 
         Integer linear programming problem 
         Disjoint shortest pair algorithm 
         Suurballe’s algorithm
    Disjoint paths with shared risk link group 
         Shared risk link group (SRLG) 
         Integer linear programming
         Weight-SRLG algorithm
    Disjoint paths in multi-cost networks 
         Multi-cost networks 
         Integer linear programming problem 
         KPA: k-penalty with auxiliary link costs matrix
         KPI: k-penalty with initial link costs matrix 
         Performance comparison of KPA and KPI

    Optical Wavelength-Routed Network
    Wavelength assignment problem
    Graph coloring problem
    Integer linear programming
    Largest degree first

    Routing and Traffic-Demand Model
    Networkmodel
    Pipemodel
    Hosemodel
    HSDT model
    HLT model

    IP Routing
    Routing protocol
    Link weights and routing 
         Tabu search
    Preventive start-time optimization (PSO) 
         Three policies to determine link weights 
         PSOmodel 
         PSO-L 
         PSO-W 
         PSO-W algorithm based on tabu search
    Performance of PSO-W

    Mathematical Puzzles
    Sudoku puzzle 
         Overview 
         Integer linear programming problem
    River crossing puzzle 
         Overview 
         Integer linear programming approach 
         Shortest path approach
         Comparison of two approaches
    Lattice puzzle 
         Overview 
         Integer linear programming

    A. Derivation of Eqs. (7.6a)–(7.6c) for hose model
    B. Derivation of Eqs. (7.12a)–(7.12c) for HSDT model
    C. Derivation of Eqs. (7.16a)–(7.16d) for HLT model

    Answers to Exercises

    Index

    Biography

    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 Switching System Research Award and the 1999 Excellent Paper Award presented by IEICE, the 2001 Asia-Pacific Outstanding Young Researcher Award presented by IEEE Communications Society for his contribution to broadband network, ATM, and optical IP technologies, and the 2010 Telecom System Technology Prize by the Telecommunications Advanced Foundation.

    He has co-authored three books, Broadband Packet Switching Technologies, published by John Wiley, New York, in 2001, GMPLS Technologies, published by CRC Press, Boca Raton, FL, in 2005, and Advanced Internet Protocols, Services, and Applications, which will be published by Wiley in March 2012. He is an IEEE Senior Member.

    "This textbook is intended to provide the fundamentals of linear programming as applied to communication networks and a practical guide on how to solve communication-related problems using linear programming solver. For this purpose, the GLPK package (a software package to solve linear programming problems, developed by Andrew O. Makhorin, freely available), which is intended for solving linear programming problems, integer linear programming problems and mixed integer linear programming problems, is adopted in this textbook. The book introduces and explains typical practical problems for communication networks and their solutions by providing sufficient programs of GLPK. The book also provides practical algorithms for these problems by solving helpful examples with demonstrations."
    —Tiit Riismaa (Tallinn), Zentralblatt MATH 1322 | 1