Abstract
This chapter describes the main results of two decades of experience in studying and applying optimization models in the telecommunications sector. The Brazilian information technology policy has enabled during this time many fruitful contracts among some universities and companies of the sector, and the author with some colleagues have been engaged in this process with emphasis in the use of operations research (OR) methods. The author has also been benefited from the cooperation with French institutions that have similar engagements in that country, in such a way that the chapter is in part grounded in real case studies that have motivated research and development of different decision support systems. The chapter synthesize the framework that has been used to integrate models of local access and backbone networks, and then presents a past and future perspective on how is progressing the use of OR models to address the important questions of routing, planning and pricing services in telecommunication and computer networks. Most of the applications are related to the literature and have universal character, but we try to point out in this experience how different cultures, geography and politics impact and shape the way operations research is practiced around the world.
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Bibliography
Y.P. Aneja. An integer linear programming approach to Steiner problem in graphs. Networks, 10:167–178, 1980.
A. Balakrishnan, T.L. Magnanti, and P. Mirchandani. Modeling and heuristic worst-case performance analysis of two-level network design problem. Management Science, 40:846–867, 1994.
A. Balakrishnan, T.L. Magnanti, A. Shulman, and R.T. Wong. Models for planning capacity expansion in local access telecommunication networks. Annals of Operations Research, 33:239–284, 1991.
A. Balakrishnan, T.L. Magnanti, and R.T. Wong. A dual-ascent procedure for large-scale uncapacitated network design. Operations Research, 37:716–740, 1989.
J.E. Beasley. An algorithm for solving large capacitated warehouse location problems. Journal of the Operational Research Society, 33:314–325, 1988.
J.E. Beasley. An SST-based algorithm for the Steiner problem in graphs. Networks, 19:1–16, 1989.
D. Bertsekas and R. Gallager. Data Networks. Prentice Hall, New Jersey, 1987.
D. Bienstock and O. Günlük. Computational experience with a difficult mixed-integer multicommodity flow problem. Mathematical Programming, 68:213–237, 1995.
N. Curien and M. Gensollen. Economie des Télécommunications: Ouverture et Réglementation. Economica, Paris, 1992.
C.W. Duin and A. Volgenant. Reduction tests for the Steiner problem in graphs. Networks, 19:549–567, 1989.
R.P.M. Ferreira and H.P.L. Luna. Discrete capacity and flow assignment algorithms with performance guarantee. Computer Communications, 26:1056–1069, 2003.
B. Gavish. Formulations and algorithms for the capacitated minimal directed tree. Journal of the ACM, 30:118–132, 1983.
B. Gavish. Topological design of telecommunication networks-Local access design methods. Annals of Operations Research, 33:17–71, 1991.
M. Gerla. The Design of Store-and-Forward (S/F) Networks for Computer Communications. PhD thesis, UCLA, Los Angeles, 1973.
J.C. Geromel and H.P.L. Luna. Projection and duality techniques in economic equilibrium models. IEEE Trans. on Systems, Man and Cybernetics, 11:329–338, 1981.
A. Girard and S. St-Georges. Performance evaluation and routing optimization of ISDN networks with nonhierarchical and alternate routing. In 1th International Conference on Telecommunication Systems Modeling and Analysis, pages 454–461, Nashville, USA, 1993. Vanderbilt University.
M. Grötschel and C. L. Monma. Integer polyhedra arising from certain network design problems with connectivity constraints. SIAM J. Disc. Math., 3(4):502–523, 1990.
S.L. Hakimi. Steiner’s problem in graphs and its implications. Networks, 1:113–133, 1971.
D.S. Hochbaum and A. Segev. Analysis of a flow problem with fixed charges. Networks, 19:291–312, 1989.
C.G. Kang and H.H. Tan. Combined channel allocation and routing algorithms in packet switched networks. Computer Communications, 20:1175–1190, 1997.
J.M. Karlsson. Some aspects of charging in ATM networks. In 4th International Conference on Telecommunication Systems Modeling and Analysis, pages 567–573, Nashville, USA, 1996. Vanderbilt University.
F.P. Kelly. Routing in circuit-switched networks: Optimization, shadow prices and decentralization. Adv. Appli. Prob., 20:112–144, 1988.
L. Kleinrock. On the modeling and analysis of computer networks. Proceedings of the IEEE, 81(8):1179–1191, 1993.
Y.A. Korilis, T.A. Varvarigou, and S.A. Ahuja. Optimal pricing strategies in noncooperative networks. In 5th International Conference on Telecommunication Systems Modeling and Analysis, pages 110–123, Nashville, USA, 1997. Vanderbilt University.
J.B. Kruskal. On the shortest spanning tree of a graph and the traveling salesman problem. Proc. Amer. Math. Society, 7:48–50, 1956.
P. Linhart, R. Radner, K.G. Ramakrishnan, and R. Steinberg. The allocation of value for jointly provided services. Telecommunication Systems, 4:151–175, 1995.
H. P. L. Luna. Note on price-unicity in economic equilibrium models. Socio-Economic Planning Sciences, 13(4):223–225, 1979.
H.P.L. Luna and P. Mahey. Bounds for global optimization of capacity expansion and flow assignment problems. Operations Research Letters, 26:211–216, 2000.
H.P.L. Luna, P. Mahey, A. Ouorou, and J. Chifflet. Multicommodity flows with price sensitive demands. In 5th International Conference on Telecommunication Systems Modeling and Analysis, pages 583–593, Nashville, USA, 1997. Vanderbilt University.
H.P.L. Luna, N. Ziviani, and R.M.B. Cabral. The telephonic switching centre network problem: Formalization and computational experience. Discrete Applied Mathematics, 18:199–210, 1987.
N. Maculan. The Steiner problem in graphs. Annals of Discrete Mathematics, 31: 185–212, 1987.
T.L. Magnanti, P. Mirchandani, and R. Vachani. The convex hull of two core capacitated network design problems. Mathematical Programming, 60:233–250, 1993.
G.R. Mateus, F.R.B. Cruz, and H.P.L. Luna. Algorithm for hierarchical network design. Location Science, 2:149–164, 1994.
G.R. Mateus and H.P.L. Luna. Decentralized decision-making and capacitated facility location. The Annals of Regional Science, 26:361–377, 1992.
G.R. Mateus, H.P.L. Luna, and L.C.M. Lage. Optimal planning of telecommunication networks with logical and physical aspects. In SBT/IEEE Telecommunications Congress, pages 602–607, Rio de Janeiro, Brazil, 1990. SBT/IEEE.
G.R. Mateus, H.P.L. Luna, and A.B. Sirihal. Heuristics for distribution network design in telecommunication. Journal of Heuristics, 6:131–148, 2000.
M. Minoux. Network synthesis and optimum network design problems: Models, solution methods and applications. Networks, 19:313–360, 1989.
A. Mirzaian. Lagrangian relaxation for the star-star concentrator location problem: Approximation algorithm and bounds. Networks, 15:1–20, 1985.
A. Ouorou, P. Mahey, and J. Ph. Vial. A survey of algorithms for convex multicommodity flow problems. Management Science, 46:126–147, 2000.
M. Patriksson. The Traffic Assignment Problem: Models and Methods, Topics in Transportation, VSP, Utrecht, The Netherlands, 1994.
C.D. Randazzo and H.P. Luna. A comparison of optimal methods for local access un-capacitated network design. Annals of Operations Research, 106:263–286, 2001a.
C.D. Randazzo and H.P. Luna. Solving local access network design problems with two technologies. Investigación Operacional, 21:115–123, 2001b.
G. Sa. Branch-and-bound and approximate solutions to the capacitated plant location problem. Operations Research, 17:1005–1016, 1969.
P.A. Samuelson. Spatial price equilibrium and linear programming. Amer. Econ. Rev., 42:284–303, 1952.
D. Skorin-Kapov and H.F. Beltran. An efficient characterization of some allocation solutions associated with capacitated network design problems. Telecommunication Systems, 3:91–107, 1994.
R.T. Wong. A dual ascent algorithm for the steiner problem in directed graphs. Mathematical Programming, 28:271–287, 1984.
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Luna, H.P.L. (2006). Network Planning Problems in Telecommunications. In: Resende, M.G.C., Pardalos, P.M. (eds) Handbook of Optimization in Telecommunications. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30165-5_9
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