IDEAS home Printed from https://ideas.repec.org/p/iim/iimawp/13113.html
   My bibliography  Save this paper

An Efficient Solution Approach for Combinatorial Bandwidth Packing Problem with Queuing Delays

Author

Listed:
  • Jayaswal, Sachin
  • Vidyarthi, Navneet
  • Das, Sagnik

Abstract

The Combinatorial bandwidth packing problem (CBPP), arising in a telecommunication network with limited bandwidth, is defined as: given a set of request, each with its potential revenue and consisting of calls with their bandwidth requirements, deciding (i) a subset of the requests to accept/reject, and (ii) a route for each call in an accepted request, so as to maximize total revenue earned. However, telecommunication networks are generally characterized by variability in the call (bits) arrival rates and service times, resulting in delays in the network. In this paper, we present a non-linear integer programming model for CBPP accounting for such delays. By using simple transformation and piecewise outer-approximation, we linearize the model, and present an efficient cutting plane based approach to solve the resulting linear mixed integer program to optimality.

Suggested Citation

  • 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.
  • Handle: RePEc:iim:iimawp:13113
    as

    Download full text from publisher

    File URL: https://www.iima.ac.in/sites/default/files/rnpfiles/14998504692014-12-05.pdf
    File Function: English Version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Bose, Indranil, 2009. "Bandwidth packing with priority classes," European Journal of Operational Research, Elsevier, vol. 192(1), pages 313-325, January.
    5. Cynthia Barnhart & Christopher A. Hane & Pamela H. Vance, 2000. "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Flow Problems," Operations Research, INFORMS, vol. 48(2), pages 318-326, April.
    6. Manuel Laguna & Fred Glover, 1993. "Bandwidth Packing: A Tabu Search Approach," Management Science, INFORMS, vol. 39(4), pages 492-500, April.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Amiri, Ali & Barkhi, Reza, 2011. "The combinatorial bandwidth packing problem," European Journal of Operational Research, Elsevier, vol. 208(1), pages 37-45, January.
    5. 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.
    6. Bose, Indranil, 2009. "Bandwidth packing with priority classes," European Journal of Operational Research, Elsevier, vol. 192(1), pages 313-325, January.
    7. 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.
    8. 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.
    9. Kang, Jangha & Park, Kyungchul & Park, Sungsoo, 2009. "Optimal multicast route packing," European Journal of Operational Research, Elsevier, vol. 196(1), pages 351-359, July.
    10. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    11. 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.
    12. Barış Yıldız & Oya Ekin Karaşan, 2017. "Regenerator Location Problem in Flexible Optical Networks," Operations Research, INFORMS, vol. 65(3), pages 595-620, June.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Melchiori, Anna & Sgalambro, Antonino, 2020. "A branch and price algorithm to solve the Quickest Multicommodity k-splittable Flow Problem," European Journal of Operational Research, Elsevier, vol. 282(3), pages 846-857.
    18. Amy Cohn & Michael Magazine & George Polak, 2009. "Rank‐Cluster‐and‐Prune: An algorithm for generating clusters in complex set partitioning problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 215-225, April.
    19. Albert H. Schrotenboer & Evrim Ursavas & Iris F. A. Vis, 2019. "A Branch-and-Price-and-Cut Algorithm for Resource-Constrained Pickup and Delivery Problems," Transportation Science, INFORMS, vol. 53(4), pages 1001-1022, July.
    20. Liang Chen & Wei-Kun Chen & Mu-Ming Yang & Yu-Hong Dai, 2021. "An exact separation algorithm for unsplittable flow capacitated network design arc-set polyhedron," Journal of Global Optimization, Springer, vol. 81(3), pages 659-689, November.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:iim:iimawp:13113. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/eciimin.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.