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Lower Bounding Procedures for Multiperiod Telecommunications Network Expansion Problems

Author

Listed:
  • Suk-Gwon Chang

    (Hanyang University, Seoul, Korea)

  • Bezalel Gavish

    (Vanderbilt University, Nashville, Tennessee)

Abstract

This paper suggests an improved formulation for the multiperiod network topology and capacity expansion problem and proposes new lower bounding schemes based on it. It differs from earlier formulations and solution methods in that entirely new and different subproblems are solved and a number of lower bound tightening schemes are added within the framework of a Lagrangian relaxation. Dual ascent and multiplier adjustment procedures are suggested for the Lagrange multiplier updating procedure. Computational results are reported to demonstrate the tightness of the bounds generated by the suggested procedures. Heuristics based on converting the dual information obtained from the Lagrangian procedure into primal feasible solutions are tested. The tests show that the Lagrangian-based heuristics generate solutions superior to solutions generated by other heuristics proposed in the literature.

Suggested Citation

  • Suk-Gwon Chang & Bezalel Gavish, 1995. "Lower Bounding Procedures for Multiperiod Telecommunications Network Expansion Problems," Operations Research, INFORMS, vol. 43(1), pages 43-57, February.
    • Handle: RePEc:inm:oropre:v:43:y:1995:i:1:p:43-57
    DOI: 10.1287/opre.43.1.43
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    Citations

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    Cited by:

    1. Gendreau, Michel & Potvin, Jean-Yves & Smires, Ali & Soriano, Patrick, 2006. "Multi-period capacity expansion for a local access telecommunications network," European Journal of Operational Research, Elsevier, vol. 172(3), pages 1051-1066, August.
    2. Antonio Frangioni, 2005. "About Lagrangian Methods in Integer Optimization," Annals of Operations Research, Springer, vol. 139(1), pages 163-193, October.
    3. van de Leensel, R.L.J.M. & Flippo, O.E. & Koster, Arie M.C.A. & Kolen, A.W.J., 1996. "A dynamic programming algorithm for the local access network expansion problem," Research Memorandum 027, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    4. Pablo Cortes & Jesus Muñuzuri & Luis Onieva & Juan Larrañeta & Juan M. Vozmediano & Jose C. Alarcon, 2006. "Andalucía Assesses the Investment Needed to Deploy a Fiber-Optic Network," Interfaces, INFORMS, vol. 36(2), pages 105-117, April.
    5. Leegwater, D.K. & de Groot, J.D., 2004. "Optimisation of connections to a fibre network," Econometric Institute Research Papers EI 2004-42, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Flippo, Olaf E. & Kolen, Antoon W. J. & Koster, Arie M. C. A. & van de Leensel, Robert L. M. J., 2000. "A dynamic programming algorithm for the local access telecommunication network expansion problem," European Journal of Operational Research, Elsevier, vol. 127(1), pages 189-202, November.
    7. Ahmed, Shabbir & Sahinidis, Nikolaos V., 2008. "Selection, acquisition, and allocation of manufacturing technology in a multi-period environment," European Journal of Operational Research, Elsevier, vol. 189(3), pages 807-821, September.
    8. Shabbir Ahmed & Nikolaos V. Sahinidis, 2003. "An Approximation Scheme for Stochastic Integer Programs Arising in Capacity Expansion," Operations Research, INFORMS, vol. 51(3), pages 461-471, June.

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