IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v35y2007i6p629-644.html
   My bibliography  Save this article

Basic mathematical programming models for capacity allocation in mesh-based survivable networks

Author

Listed:
  • Kennington, Jeffery L.
  • Olinick, Eli V.
  • Spiride, Gheorghe

Abstract

Designing a low cost, survivable, telecommunication network is an extremely complicated process. Most commercial products available to help with this process are based on simulation and/or proprietary heuristics. However, there is a growing consensus that mathematical programming belongs in the designer's "toolkit." Easy-to-use modeling languages coupled with powerful optimization solvers have greatly reduced the burden of implementation of mathematical programming theory into the practice of commercial network design. This manuscript presents an introduction to the basic mathematical programming models for capacity allocation that have been proposed for mesh-based survivable networks.

Suggested Citation

  • Kennington, Jeffery L. & Olinick, Eli V. & Spiride, Gheorghe, 2007. "Basic mathematical programming models for capacity allocation in mesh-based survivable networks," Omega, Elsevier, vol. 35(6), pages 629-644, December.
    • Handle: RePEc:eee:jomega:v:35:y:2007:i:6:p:629-644
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(06)00053-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jeffery L. Kennington & Eli V. Olinick, 2004. "Wavelength Translation in WDM Networks: Optimization Models and Solution Procedures," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 174-187, May.
    2. M. Grötschel & C. L. Monma & M. Stoer, 1995. "Polyhedral and Computational Investigations for Designing Communication Networks with High Survivability Requirements," Operations Research, INFORMS, vol. 43(6), pages 1012-1024, December.
    3. Manuel Laguna, 1998. "Applying Robust Optimization to Capacity Expansion of One Location in Telecommunications with Demand Uncertainty," Management Science, INFORMS, vol. 44(11-Part-2), pages 101-110, November.
    4. Geir Dahl & Mechthild Stoer, 1998. "A Cutting Plane Algorithm for Multicommodity Survivable Network Design Problems," INFORMS Journal on Computing, INFORMS, vol. 10(1), pages 1-11, February.
    5. Jeffery L. Kennington & Mark W. Lewis, 2001. "The Path Restoration Version of the Spare Capacity Allocation Problem with Modularity Restrictions: Models, Algorithms, and an Empirical Analysis," INFORMS Journal on Computing, INFORMS, vol. 13(3), pages 181-190, August.
    6. Anantaram Balakrishnan & Thomas Magnanti & Joel Sokol & Yi Wang, 2001. "Telecommunication Link Restoration Planning with Multiple Facility Types," Annals of Operations Research, Springer, vol. 106(1), pages 127-154, September.
    7. Jeffery L. Kennington & Jason E. Whitler, 1999. "An Efficient Decomposition Algorithm to Optimize Spare Capacity in a Telecommunications Network," INFORMS Journal on Computing, INFORMS, vol. 11(2), pages 149-160, May.
    8. Fischer, MJ & Garbin, DA & Harris, TC & Knepley, JE, 1978. "Large scale communication networks--Design and analysis," Omega, Elsevier, vol. 6(4), pages 331-340.
    9. John M. Mulvey & Robert J. Vanderbei & Stavros A. Zenios, 1995. "Robust Optimization of Large-Scale Systems," Operations Research, INFORMS, vol. 43(2), pages 264-281, April.
    10. Steven Cosares & David N. Deutsch & Iraj Saniee & Ondria J. Wasem, 1995. "SONET Toolkit: A Decision Support System for Designing Robust and Cost-Effective Fiber-Optic Networks," Interfaces, INFORMS, vol. 25(1), pages 20-40, February.
    11. Jeffery Kennington & Eli Olinick & Augustyn Ortynski & Gheorghe Spiride, 2003. "Wavelength Routing and Assignment in a Survivable WDM Mesh Network," Operations Research, INFORMS, vol. 51(1), pages 67-79, February.
    12. Klein, JH & Powell, PL, 1991. "Simple heuristic methods for network routeing: A case study," Omega, Elsevier, vol. 19(2-3), pages 137-148.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Agarwal, Y.K. & Venkateshan, Prahalad, 2014. "Survivable network design with shared-protection routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 836-845.
    2. Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.

    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. Anantaram Balakrishnan & Thomas L. Magnanti & Joel S. Sokol & Yi Wang, 2002. "Spare-Capacity Assignment For Line Restoration Using a Single-Facility Type," Operations Research, INFORMS, vol. 50(4), pages 617-635, August.
    2. Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.
    3. Chen, Andrew N.K. & Goes, Paulo B. & Gupta, Alok & Marsden, James R., 2006. "Heuristics for selecting robust database structures with dynamic query patterns," European Journal of Operational Research, Elsevier, vol. 168(1), pages 200-220, January.
    4. Garg, Manish & Smith, J. Cole, 2008. "Models and algorithms for the design of survivable multicommodity flow networks with general failure scenarios," Omega, Elsevier, vol. 36(6), pages 1057-1071, December.
    5. Yin, Yafeng, 2008. "Robust optimal traffic signal timing," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 911-924, December.
    6. Anantaram Balakrishnan & Prakash Mirchandani & Harihara Prasad Natarajan, 2009. "Connectivity Upgrade Models for Survivable Network Design," Operations Research, INFORMS, vol. 57(1), pages 170-186, February.
    7. S Mudchanatongsuk & F Ordóñez & J Liu, 2008. "Robust solutions for network design under transportation cost and demand uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 652-662, May.
    8. Agarwal, Y.K. & Venkateshan, Prahalad, 2014. "Survivable network design with shared-protection routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 836-845.
    9. Chen, Andrew N.K., 2006. "Robust optimization for performance tuning of modern database systems," European Journal of Operational Research, Elsevier, vol. 171(2), pages 412-429, June.
    10. Qiang Fu & Tianxiao Li & Song Cui & Dong Liu & Xueping Lu, 2018. "Agricultural Multi-Water Source Allocation Model Based on Interval Two-Stage Stochastic Robust Programming under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(4), pages 1261-1274, March.
    11. Emmanuel Kwasi Mensah, 2020. "Robust data envelopment analysis via ellipsoidal uncertainty sets with application to the Italian banking industry," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 491-518, December.
    12. Olinick, Eli V. & Rosenberger, Jay M., 2008. "Optimizing revenue in CDMA networks under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 186(2), pages 812-825, April.
    13. Yin, Yafeng & Madanat, Samer M. & Lu, Xiao-Yun, 2009. "Robust improvement schemes for road networks under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 198(2), pages 470-479, October.
    14. Chao Lu & Jie Tao & Qiuxian An & Xiaodong Lai, 2020. "A second-order cone programming based robust data envelopment analysis model for the new-energy vehicle industry," Annals of Operations Research, Springer, vol. 292(1), pages 321-339, September.
    15. ZhenFang Liu & GuoHe Huang, 2009. "Dual-Interval Two-Stage Optimization for Flood Management and Risk Analyses," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(11), pages 2141-2162, September.
    16. Zhenfang Liu & Yang Zhou & Gordon Huang & Bin Luo, 2019. "Risk Aversion Based Inexact Stochastic Dynamic Programming Approach for Water Resources Management Planning under Uncertainty," Sustainability, MDPI, vol. 11(24), pages 1-22, December.
    17. Jeffery Kennington & Eli Olinick & Augustyn Ortynski & Gheorghe Spiride, 2003. "Wavelength Routing and Assignment in a Survivable WDM Mesh Network," Operations Research, INFORMS, vol. 51(1), pages 67-79, February.
    18. Francisco Barahona & Stuart Bermon & Oktay Günlük & Sarah Hood, 2005. "Robust capacity planning in semiconductor manufacturing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 459-468, August.
    19. Donghai Wang & Qiuhong Zhao, 2020. "A Simultaneous Optimization Model for Airport Network Slot Allocation under Uncertain Capacity," Sustainability, MDPI, vol. 12(14), pages 1-14, July.
    20. Shan Lan & John-Paul Clarke & Cynthia Barnhart, 2006. "Planning for Robust Airline Operations: Optimizing Aircraft Routings and Flight Departure Times to Minimize Passenger Disruptions," Transportation Science, INFORMS, vol. 40(1), pages 15-28, February.

    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:eee:jomega:v:35:y:2007:i:6:p:629-644. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.