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

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  • 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
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    References listed on IDEAS

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    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.
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    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.
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