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Bandwidth packing with priority classes

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  • Bose, Indranil

Abstract

The bandwidth packing problem is defined as the selection and routing of messages from a given list of messages with prespecified requirements on demand for bandwidth. The messages have to be routed over a network with given topology so that the generated revenue is maximized. Messages to be routed are classified into two priority classes. An integer programming based formulation of this problem is proposed and a Lagrangean relaxation based methodology is described for solving this problem. A general purpose heuristic is then developed for generating feasible solutions of good quality. Several numerical experiments are conducted using a number of problem parameters such as number of messages, ratio of messages for lower and higher priority classes, capacity of links, and demand distribution of messages belonging to different classes and high quality solutions to the priority bandwidth packing problem are generated under the different situations.

Suggested Citation

  • Bose, Indranil, 2009. "Bandwidth packing with priority classes," European Journal of Operational Research, Elsevier, vol. 192(1), pages 313-325, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:313-325
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    References listed on IDEAS

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    1. Manuel Laguna & Fred Glover, 1993. "Bandwidth Packing: A Tabu Search Approach," Management Science, INFORMS, vol. 39(4), pages 492-500, April.
    2. 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.
    3. 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.
    4. 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.
    5. Altinkemer, Kemal & Bose, Indranil, 2003. "Asynchronous transfer mode networks with parallel links and multiple service classes," European Journal of Operational Research, Elsevier, vol. 146(1), pages 181-198, April.
    6. Bazaraa, Mokhtar S. & Goode, Jamie J., 1979. "A survey of various tactics for generating Lagrangian multipliers in the context of Lagrangian duality," European Journal of Operational Research, Elsevier, vol. 3(4), pages 322-338, July.
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    Cited by:

    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. 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.
    3. 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.
    4. 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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