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An Integer Programming Approach to the Bandwidth Packing Problem

Author

Listed:
  • Kyungchul Park

    (Department of Industrial Engineering, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea)

  • Seokhoon Kang

    (Department of Industrial Engineering, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea)

  • Sungsoo Park

    (Telecom Business Department, Ssangyong Computer Systems Co., Seoul 105-705, Korea)

Abstract

We consider the bandwidth packing problem arising from telecommunication networks. The problem is to determine the set of calls and an assignment of them to the paths in an arc-capacitated network to maximize profit. We propose an algorithm to solve the integer programming formulation of the problem. An efficient column generation technique to solve the linear programming relaxation is proposed, and a modified cover inequality is used to strengthen the IP formulation. The algorithm incorporates the column generation technique and the strong cutting plane approach into a branch-and-bound scheme. We test the proposed algorithm on some random problems. The results show that the algorithm can be used to solve the problems within reasonably small time limits.

Suggested Citation

  • Kyungchul Park & Seokhoon Kang & Sungsoo Park, 1996. "An Integer Programming Approach to the Bandwidth Packing Problem," Management Science, INFORMS, vol. 42(9), pages 1277-1291, September.
    • Handle: RePEc:inm:ormnsc:v:42:y:1996:i:9:p:1277-1291
    DOI: 10.1287/mnsc.42.9.1277
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    Citations

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    Cited by:

    1. Fortz, Bernard & Gouveia, Luís & Joyce-Moniz, Martim, 2017. "Models for the piecewise linear unsplittable multicommodity flow problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 30-42.
    2. Jinil Han & Kyungsik Lee & Chungmok Lee & Sungsoo Park, 2013. "Exact Algorithms for a Bandwidth Packing Problem with Queueing Delay Guarantees," INFORMS Journal on Computing, INFORMS, vol. 25(3), pages 585-596, August.
    3. C S Sung & S H Song, 2003. "Branch-and-price algorithm for a combined problem of virtual path establishment and traffic packet routing in a layered communication network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 72-82, January.
    4. Vidyarthi, Navneet & Jayaswal, Sachin & Chetty, Vikranth Babu Tirumala, 2013. "Exact Solution to Bandwidth Packing Problem with Queuing Delays," IIMA Working Papers WP2013-11-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
    5. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    6. Kang, Jangha & Park, Kyungchul & Park, Sungsoo, 2004. "ATM VP-based network design," European Journal of Operational Research, Elsevier, vol. 158(3), pages 555-569, November.
    7. Navneet Vidyarthi & Sachin Jayaswal & Vikranth Babu Tirumala Chetty, 2016. "Bandwidth packing problem with queueing delays: modelling and exact solution approach," Journal of Global Optimization, Springer, vol. 65(4), pages 745-776, August.
    8. Barış Yıldız & Oya Ekin Karaşan, 2017. "Regenerator Location Problem in Flexible Optical Networks," Operations Research, INFORMS, vol. 65(3), pages 595-620, June.
    9. Bose, Indranil, 2009. "Bandwidth packing with priority classes," European Journal of Operational Research, Elsevier, vol. 192(1), pages 313-325, January.
    10. Changyong Zhang, 2017. "An origin-based model for unique shortest path routing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 935-951, August.
    11. Kyungchul Park & Kyungsik Lee & Sungsoo Park & Heesang Lee, 2000. "Telecommunication Node Clustering with Node Compatibility and Network Survivability Requirements," Management Science, INFORMS, vol. 46(3), pages 363-374, March.
    12. Baris Yildiz & Martin Savelsbergh, 2019. "Provably High-Quality Solutions for the Meal Delivery Routing Problem," Transportation Science, INFORMS, vol. 53(5), pages 1372-1388, September.
    13. Amiri, Ali, 2005. "The selection and scheduling of telecommunication calls with time windows," European Journal of Operational Research, Elsevier, vol. 167(1), pages 243-256, November.
    14. Kang, Jangha & Park, Kyungchul & Park, Sungsoo, 2009. "Optimal multicast route packing," European Journal of Operational Research, Elsevier, vol. 196(1), pages 351-359, July.
    15. Kurt DeMaagd & Johannes M. Bauer, 2011. "Modeling the dynamic interactions of agents in the provision of network infrastructure," Information Systems Frontiers, Springer, vol. 13(5), pages 669-680, November.
    16. Amiri, Ali & Rolland, Erik & Barkhi, Reza, 1999. "Bandwidth packing with queuing delay costs: Bounding and heuristic solution procedures," European Journal of Operational Research, Elsevier, vol. 112(3), pages 635-645, February.
    17. François Lamothe & Emmanuel Rachelson & Alain Haït & Cedric Baudoin & Jean-Baptiste Dupé, 2021. "Randomized rounding algorithms for large scale unsplittable flow problems," Journal of Heuristics, Springer, vol. 27(6), pages 1081-1110, December.
    18. Seohee Kim & Chungmok Lee, 2021. "A branch and price approach for the robust bandwidth packing problem with queuing delays," Annals of Operations Research, Springer, vol. 307(1), pages 251-275, December.
    19. Jayaswal, Sachin & Vidyarthi, Navneet & Das, Sagnik, 2014. "An Efficient Solution Approach for Combinatorial Bandwidth Packing Problem with Queuing Delays," IIMA Working Papers WP2014-12-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
    20. Amiri, Ali & Barkhi, Reza, 2011. "The combinatorial bandwidth packing problem," European Journal of Operational Research, Elsevier, vol. 208(1), pages 37-45, January.

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