Benders-and-cut algorithm for fixed-charge capacitated network design problem
Author
Abstract
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Frederick Kaefer & June S. Park, 1998. "Interconnecting LANs and a FDDI Backbone Using Transparent Bridges: A Model and Solution Algorithms," INFORMS Journal on Computing, INFORMS, vol. 10(1), pages 25-39, February.
- 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.
- Herrmann, J. W. & Ioannou, G. & Minis, I. & Proth, J. M., 1996. "A dual ascent approach to the fixed-charge capacitated network design problem," European Journal of Operational Research, Elsevier, vol. 95(3), pages 476-490, December.
- Gavish, Bezalel, 1992. "Topological design of computer communication networks -- The overall design problem," European Journal of Operational Research, Elsevier, vol. 58(2), pages 149-172, April.
- T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
- Daniel Bienstock & Oktay Günlük, 1996. "Capacitated Network Design---Polyhedral Structure and Computation," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 243-259, August.
- Thomas L. Magnanti & Prakash Mirchandani & Rita Vachani, 1995. "Modeling and Solving the Two-Facility Capacitated Network Loading Problem," Operations Research, INFORMS, vol. 43(1), pages 142-157, February.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Rodriguez-Martin, Inmaculada & Salazar-Gonzalez, Juan Jose, 2008. "Solving a capacitated hub location problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 468-479, January.
- Desai, Jitamitra & Sen, Suvrajeet, 2010. "A global optimization algorithm for reliable network design," European Journal of Operational Research, Elsevier, vol. 200(1), pages 1-8, January.
- Fausto Errico & Teodor Gabriel Crainic & Federico Malucelli & Maddalena Nonato, 2017. "A Benders Decomposition Approach for the Symmetric TSP with Generalized Latency Arising in the Design of Semiflexible Transit Systems," Transportation Science, INFORMS, vol. 51(2), pages 706-722, May.
- Agarwal, Y.K. & Aneja, Y.P. & Jayaswal, Sachin, 2022. "Directed fixed charge multicommodity network design: A cutting plane approach using polar duality," European Journal of Operational Research, Elsevier, vol. 299(1), pages 118-136.
- Ada Alvarez & José González-Velarde & Karim De-Alba, 2005. "Scatter Search for Network Design Problem," Annals of Operations Research, Springer, vol. 138(1), pages 159-178, September.
- Margaretha Gansterer & Richard F. Hartl & Philipp E. H. Salzmann, 2018. "Exact solutions for the collaborative pickup and delivery problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 357-371, June.
- Ashkan Fakhri & Mehdi Ghatee, 2013. "Solution of preemptive multi-objective network design problems applying Benders decomposition method," Annals of Operations Research, Springer, vol. 210(1), pages 295-307, November.
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.- 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.
- Ioannis Gamvros & Bruce Golden & S. Raghavan, 2006. "The Multilevel Capacitated Minimum Spanning Tree Problem," INFORMS Journal on Computing, INFORMS, vol. 18(3), pages 348-365, August.
- Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.
- Yogesh K. Agarwal, 2002. "Design of Capacitated Multicommodity Networks with Multiple Facilities," Operations Research, INFORMS, vol. 50(2), pages 333-344, April.
- M Riis & A J V Skriver & S F Møller, 2005. "Internet protocol network design with uncertain demand," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(10), pages 1184-1195, October.
- Fragkos, Ioannis & Cordeau, Jean-François & Jans, Raf, 2021. "Decomposition methods for large-scale network expansion problems," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 60-80.
- 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.
- Andrew P. Armacost & Cynthia Barnhart & Keith A. Ware, 2002. "Composite Variable Formulations for Express Shipment Service Network Design," Transportation Science, INFORMS, vol. 36(1), pages 1-20, February.
- Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2007. "Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs," Operations Research, INFORMS, vol. 55(1), pages 146-157, February.
- Mervat Chouman & Teodor Gabriel Crainic & Bernard Gendron, 2018. "The impact of filtering in a branch-and-cut algorithm for multicommodity capacitated fixed charge network design," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 143-184, June.
- Ayşegül Altın & Hande Yaman & Mustafa Ç. Pınar, 2011. "The Robust Network Loading Problem Under Hose Demand Uncertainty: Formulation, Polyhedral Analysis, and Computations," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 75-89, February.
- Nicolas Andalaft & Pablo Andalaft & Monique Guignard & Adrian Magendzo & Alexis Wainer & Andres Weintraub, 2003. "A Problem of Forest Harvesting and Road Building Solved Through Model Strengthening and Lagrangean Relaxation," Operations Research, INFORMS, vol. 51(4), pages 613-628, August.
- Ram Kumar P N, 2013. "On Modeling The Step Fixed-Charge Transportation Problem," Working papers 134, Indian Institute of Management Kozhikode.
- F. J. Hwang & Yao-Huei Huang, 2021. "An effective logarithmic formulation for piecewise linearization requiring no inequality constraint," Computational Optimization and Applications, Springer, vol. 79(3), pages 601-631, July.
- Nieto-Isaza, Santiago & Fontaine, Pirmin & Minner, Stefan, 2022. "The value of stochastic crowd resources and strategic location of mini-depots for last-mile delivery: A Benders decomposition approach," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 62-79.
- Morten Riis & Kim Allan Andersen, 2002. "Capacitated Network Design with Uncertain Demand," INFORMS Journal on Computing, INFORMS, vol. 14(3), pages 247-260, August.
- Ya Ping Fang & Kaiwen Meng & Xiao Qi Yang, 2012. "Piecewise Linear Multicriteria Programs: The Continuous Case and Its Discontinuous Generalization," Operations Research, INFORMS, vol. 60(2), pages 398-409, April.
- Grit Claßen & Arie M. C. A. Koster & David Coudert & Napoleão Nepomuceno, 2014. "Chance-Constrained Optimization of Reliable Fixed Broadband Wireless Networks," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 893-909, November.
- F. Sibel Salman & R. Ravi & John N. Hooker, 2008. "Solving the Capacitated Local Access Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 243-254, May.
- Ogbe, Emmanuel & Li, Xiang, 2017. "A new cross decomposition method for stochastic mixed-integer linear programming," European Journal of Operational Research, Elsevier, vol. 256(2), pages 487-499.
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:ejores:v:125:y:2000:i:3:p:622-632. 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/locate/eor .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.