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Integer Programming: Methods, Uses, Computations

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Cited by:

  1. Wenjun Ni & Jia Shu & Miao Song & Dachuan Xu & Kaike Zhang, 2021. "A Branch-and-Price Algorithm for Facility Location with General Facility Cost Functions," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 86-104, January.
  2. Thomas L. Magnanti, 2021. "Optimization: From Its Inception," Management Science, INFORMS, vol. 67(9), pages 5349-5363, September.
  3. Kristin Sahyouni & R. Canan Savaskan & Mark S. Daskin, 2007. "A Facility Location Model for Bidirectional Flows," Transportation Science, INFORMS, vol. 41(4), pages 484-499, November.
  4. Heinrich H. Nax & Bary S. R. Pradelski & H. Peyton Young, 2013. "The Evolution of Core Stability in Decentralized Matching Markets," Working Papers 2013.50, Fondazione Eni Enrico Mattei.
  5. Bell, Michael G.H. & Fonzone, Achille & Polyzoni, Chrisanthi, 2014. "Depot location in degradable transport networks," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 148-161.
  6. Jon Lee & Angelika Wiegele, 2017. "Another pedagogy for mixed-integer Gomory," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(4), pages 455-466, December.
  7. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
  8. Galli, Laura & Letchford, Adam N. & Miller, Sebastian J., 2018. "New valid inequalities and facets for the Simple Plant Location Problem," European Journal of Operational Research, Elsevier, vol. 269(3), pages 824-833.
  9. Péter Biró & Walter Kern & Daniël Paulusma, 2012. "Computing solutions for matching games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 75-90, February.
  10. Fabian Eckert & Costas Arkolakis, 2017. "Combinatorial Discrete Choice," 2017 Meeting Papers 249, Society for Economic Dynamics.
  11. Marianov, Vladimir & Eiselt, H.A. & Lüer-Villagra, Armin, 2018. "Effects of multipurpose shopping trips on retail store location in a duopoly," European Journal of Operational Research, Elsevier, vol. 269(2), pages 782-792.
  12. Abareshi, Maryam & Zaferanieh, Mehdi, 2019. "A bi-level capacitated P-median facility location problem with the most likely allocation solution," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 1-20.
  13. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 248(1), pages 33-51.
  14. Milosav Georgijevic & Sanja Bojic & Dejan Brcanov, 2013. "The location of public logistic centers: an expanded capacity-limited fixed cost location-allocation modeling approach," Transportation Planning and Technology, Taylor & Francis Journals, vol. 36(2), pages 218-229, April.
  15. U. Seppaelae, 1997. "An Evolutionary Model for Spatial Location of Economic Facilities," Working Papers ir97003, International Institute for Applied Systems Analysis.
  16. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2004. "Voluntary formation of communities for the provision of public projects," Journal of Economic Theory, Elsevier, vol. 115(1), pages 1-34, March.
  17. Kiho Seo & Seulgi Joung & Chungmok Lee & Sungsoo Park, 2022. "A Closest Benders Cut Selection Scheme for Accelerating the Benders Decomposition Algorithm," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2804-2827, September.
  18. Snyder, Lawrence V. & Daskin, Mark S. & Teo, Chung-Piaw, 2007. "The stochastic location model with risk pooling," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1221-1238, June.
  19. Kurt Spielberg, 2007. "IP over 40+ Years at IBM Scientific Centers and Marketing," Annals of Operations Research, Springer, vol. 149(1), pages 195-208, February.
  20. Amir Hossein Sadeghi & Ziyuan Sun & Amirreza Sahebi-Fakhrabad & Hamid Arzani & Robert Handfield, 2023. "A Mixed-Integer Linear Formulation for a Dynamic Modified Stochastic p-Median Problem in a Competitive Supply Chain Network Design," Logistics, MDPI, vol. 7(1), pages 1-24, March.
  21. Heinrich Nax & Bary Pradelski, 2015. "Evolutionary dynamics and equitable core selection in assignment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 903-932, November.
  22. Waardenburg, J. George, 1970. "Economic Planning for Regions Within Countries: Purposes, Methods, Difficulties, and Results," 1970 Conference, August 23-September 2, 1970, Minsk, U.S.S.R. 209802, International Association of Agricultural Economists.
  23. Michel Le Breton & Juan Moreno-Ternero & Alexei Savvateev & Shlomo Weber, 2013. "Stability and fairness in models with a multiple membership," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 673-694, August.
  24. Letchford, Adam N. & Miller, Sebastian J., 2014. "An aggressive reduction scheme for the simple plant location problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 674-682.
  25. Vazirani, Vijay V., 2022. "The general graph matching game: Approximate core," Games and Economic Behavior, Elsevier, vol. 132(C), pages 478-486.
  26. Tianhang Lu & Han Xian & Qizhi Fang, 2023. "Approximate Core Allocations for Edge Cover Games," Papers 2308.11222, arXiv.org.
  27. Timo Gschwind & Stefan Irnich, 2014. "Dual Inequalities for Stabilized Column Generation Revisited," Working Papers 1407, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 23 Jul 2014.
  28. Yueyue Fan & Allen Lee & Nathan Parker & Daniel Scheitrum & Rosa Dominguez-Faus & Amy Myers Jaffe & Kenneth Medlock III, 2017. "Geospatial, Temporal and Economic Analysis of Alternative Fuel Infrastructure: The case of freight and U.S. natural gas markets," The Energy Journal, International Association for Energy Economics, vol. 0(Number 6).
  29. Pierre Hansen & Jack Brimberg & Dragan Urošević & Nenad Mladenović, 2007. "Primal-Dual Variable Neighborhood Search for the Simple Plant-Location Problem," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 552-564, November.
  30. Sarmadi, Kamran & Amiri-Aref, Mehdi & Dong, Jing-Xin & Hicks, Christian, 2020. "Integrated strategic and operational planning of dry port container networks in a stochastic environment," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 132-164.
  31. Nax, Heinrich H. & Pradelski, Bary S. R., 2015. "Evolutionary dynamics and equitable core selection in assignment games," LSE Research Online Documents on Economics 65428, London School of Economics and Political Science, LSE Library.
  32. Ting L. Lei & Richard L. Church, 2011. "Constructs for Multilevel Closest Assignment in Location Modeling," International Regional Science Review, , vol. 34(3), pages 339-367, July.
  33. ReVelle, C.S. & Eiselt, H.A. & Daskin, M.S., 2008. "A bibliography for some fundamental problem categories in discrete location science," European Journal of Operational Research, Elsevier, vol. 184(3), pages 817-848, February.
  34. Vijay V. Vazirani, 2021. "The General Graph Matching Game: Approximate Core," Papers 2101.07390, arXiv.org, revised Jul 2021.
  35. Mingjian Wu & Tae J. Kwon & Karim El-Basyouny, 2020. "A Citywide Location-Allocation Framework for Driver Feedback Signs: Optimizing Safety and Coverage of Vulnerable Road Users," Sustainability, MDPI, vol. 12(24), pages 1-20, December.
  36. Zhu, Stuart X. & Ursavas, Evrim, 2018. "Design and analysis of a satellite network with direct delivery in the pharmaceutical industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 190-207.
  37. Colmenar, J. Manuel & Greistorfer, Peter & Martí, Rafael & Duarte, Abraham, 2016. "Advanced Greedy Randomized Adaptive Search Procedure for the Obnoxious p-Median problem," European Journal of Operational Research, Elsevier, vol. 252(2), pages 432-442.
  38. A P Antunes & J C Teixeira & M S Coutinho, 2008. "Managing solid waste through discrete location analysis: A case study in central Portugal," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(8), pages 1038-1046, August.
  39. Monabbati, Ehsan & Kakhki, Hossein Taghizadeh, 2015. "On a class of subadditive duals for the uncapacitated facility location problem," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 118-131.
  40. Jia Shu, 2010. "An Efficient Greedy Heuristic for Warehouse-Retailer Network Design Optimization," Transportation Science, INFORMS, vol. 44(2), pages 183-192, May.
  41. V Marianov & F Fresard, 2005. "A procedure for the strategic planning of locations, capacities and districting of jails: application to Chile," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 244-251, March.
  42. Sarin, Subhash C. & Aggarwal, Sanjay, 2001. "Modeling and algorithmic development of a staff scheduling problem," European Journal of Operational Research, Elsevier, vol. 128(3), pages 558-569, February.
  43. Michael Brusco & Douglas Steinley, 2015. "Affinity Propagation and Uncapacitated Facility Location Problems," Journal of Classification, Springer;The Classification Society, vol. 32(3), pages 443-480, October.
  44. Peter Biro & Tamas Fleiner, 2012. "Fractional solutions for capacitated NTU-games, with applications to stable matchings," CERS-IE WORKING PAPERS 1234, Institute of Economics, Centre for Economic and Regional Studies.
  45. Chien-Chung Huang & Telikepalli Kavitha, 2021. "Popularity, Mixed Matchings, and Self-Duality," Mathematics of Operations Research, INFORMS, vol. 46(2), pages 405-427, May.
  46. Timo Gschwind & Stefan Irnich, 2016. "Dual Inequalities for Stabilized Column Generation Revisited," INFORMS Journal on Computing, INFORMS, vol. 28(1), pages 175-194, February.
  47. Han Xiao & Tianhang Lu & Qizhi Fang, 2021. "Approximate Core Allocations for Multiple Partners Matching Games," Papers 2107.01442, arXiv.org, revised Oct 2021.
  48. Harkness, Joseph & ReVelle, Charles, 2003. "Facility location with increasing production costs," European Journal of Operational Research, Elsevier, vol. 145(1), pages 1-13, February.
  49. Yun, Lifen & Qin, Yong & Fan, Hongqiang & Ji, Changxu & Li, Xiaopeng & Jia, Limin, 2015. "A reliability model for facility location design under imperfect information," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 596-615.
  50. Li Chen & Yinrun Lyu & Chong Wang & Jingzheng Wu & Changyou Zhang & Nasro Min-Allah & Jamal Alhiyafi & Yongji Wang, 2017. "Solving linear optimization over arithmetic constraint formula," Journal of Global Optimization, Springer, vol. 69(1), pages 69-102, September.
  51. Mnich, Matthias & Mömke, Tobias, 2018. "Improved integrality gap upper bounds for traveling salesperson problems with distances one and two," European Journal of Operational Research, Elsevier, vol. 266(2), pages 436-457.
  52. Emelogu, Adindu & Chowdhury, Sudipta & Marufuzzaman, Mohammad & Bian, Linkan & Eksioglu, Burak, 2016. "An enhanced sample average approximation method for stochastic optimization," International Journal of Production Economics, Elsevier, vol. 182(C), pages 230-252.
  53. Michael J. Brusco, 2022. "Solving Classic Discrete Facility Location Problems Using Excel Spreadsheets," INFORMS Transactions on Education, INFORMS, vol. 22(3), pages 160-171, May.
  54. Bisera Andria Gusavac & Dragana Stojanovic & Zeljko Sokolovic, 2014. "Application Of Some Locational Models in Natural Resources Industry – Agriculture Case," Romanian Statistical Review Supplement, Romanian Statistical Review, vol. 62(8), pages 82-93, August.
  55. F. Antonio Medrano, 2020. "The complete vertex p-center problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 327-343, October.
  56. Vivek Bagaria & Jian Ding & David Tse & Yihong Wu & Jiaming Xu, 2020. "Hidden Hamiltonian Cycle Recovery via Linear Programming," Operations Research, INFORMS, vol. 68(1), pages 53-70, January.
  57. Monique Guignard & Ellis Johnson & Kurt Spielberg, 2005. "Logical Processing for Integer Programming," Annals of Operations Research, Springer, vol. 140(1), pages 263-304, November.
  58. Jack Brimberg & Charles ReVelle, 1998. "Solving the plant location problem on a line by linear programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 6(2), pages 277-286, December.
  59. Bricha, Naji & Nourelfath, Mustapha, 2013. "Critical supply network protection against intentional attacks: A game-theoretical model," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 1-10.
  60. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
  61. J Brimberg & P Hansen & G Laporte & N Mladenović & D Urošević, 2008. "The maximum return-on-investment plant location problem with market share," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 399-406, March.
  62. Ting L. Lei & Richard L. Church, 2014. "Vector Assignment Ordered Median Problem," International Regional Science Review, , vol. 37(2), pages 194-224, April.
  63. Mladenovic, N. & Brimberg, J. & Hansen, P., 2006. "A note on duality gap in the simple plant location problem," European Journal of Operational Research, Elsevier, vol. 174(1), pages 11-22, October.
  64. Jaroslav Janáček & Ľuboš Buzna, 2008. "An acceleration of Erlenkotter-Körkel’s algorithms for the uncapacitated facility location problem," Annals of Operations Research, Springer, vol. 164(1), pages 97-109, November.
  65. Bojić, Sanja & Đatkov, Đorđe & Brcanov, Dejan & Georgijević, Milosav & Martinov, Milan, 2013. "Location allocation of solid biomass power plants: Case study of Vojvodina," Renewable and Sustainable Energy Reviews, Elsevier, vol. 26(C), pages 769-775.
  66. Vijay V. Vazirani, 2023. "LP-Duality Theory and the Cores of Games," Papers 2302.07627, arXiv.org, revised Mar 2023.
  67. Sune Lauth Gadegaard & Andreas Klose & Lars Relund Nielsen, 2018. "A bi-objective approach to discrete cost-bottleneck location problems," Annals of Operations Research, Springer, vol. 267(1), pages 179-201, August.
  68. Rosing, K. E. & ReVelle, C. S., 1997. "Heuristic concentration: Two stage solution construction," European Journal of Operational Research, Elsevier, vol. 97(1), pages 75-86, February.
  69. Frans Schalekamp & David P. Williamson & Anke van Zuylen, 2014. "2-Matchings, the Traveling Salesman Problem, and the Subtour LP: A Proof of the Boyd-Carr Conjecture," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 403-417, May.
  70. Sanchari Deb & Kari Tammi & Karuna Kalita & Pinakeswar Mahanta, 2018. "Review of recent trends in charging infrastructure planning for electric vehicles," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 7(6), November.
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