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Tight linear programming relaxations of uncapacitated p-hub median problems

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  1. 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.
  2. Marianov, Vladimir & Serra, Daniel & ReVelle, Charles, 1999. "Location of hubs in a competitive environment," European Journal of Operational Research, Elsevier, vol. 114(2), pages 363-371, April.
  3. Morton O’Kelly, 2010. "Routing Traffic at Hub Facilities," Networks and Spatial Economics, Springer, vol. 10(2), pages 173-191, June.
  4. Canovas, Lazaro & Garcia, Sergio & Marin, Alfredo, 2007. "Solving the uncapacitated multiple allocation hub location problem by means of a dual-ascent technique," European Journal of Operational Research, Elsevier, vol. 179(3), pages 990-1007, June.
  5. Azizi, Nader & Salhi, Said, 2022. "Reliable hub-and-spoke systems with multiple capacity levels and flow dependent discount factor," European Journal of Operational Research, Elsevier, vol. 298(3), pages 834-854.
  6. Meng, Qiang & Wang, Xinchang, 2011. "Intermodal hub-and-spoke network design: Incorporating multiple stakeholders and multi-type containers," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 724-742, May.
  7. Samir Elhedhli & Huyu Wu, 2010. "A Lagrangean Heuristic for Hub-and-Spoke System Design with Capacity Selection and Congestion," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 282-296, May.
  8. J. Fabian Meier & Uwe Clausen, 2018. "Solving Single Allocation Hub Location Problems on Euclidean Data," Transportation Science, INFORMS, vol. 52(5), pages 1141-1155, October.
  9. Isabel Correia & Stefan Nickel & Francisco Saldanha-da-Gama, 2014. "Multi-product Capacitated Single-Allocation Hub Location Problems: Formulations and Inequalities," Networks and Spatial Economics, Springer, vol. 14(1), pages 1-25, March.
  10. Sophie D. Lapierre & Angel B. Ruiz & Patrick Soriano, 2004. "Designing Distribution Networks: Formulations and Solution Heuristic," Transportation Science, INFORMS, vol. 38(2), pages 174-187, May.
  11. James F. Campbell & Morton E. O'Kelly, 2012. "Twenty-Five Years of Hub Location Research," Transportation Science, INFORMS, vol. 46(2), pages 153-169, May.
  12. Correia, Isabel & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2010. "Single-assignment hub location problems with multiple capacity levels," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1047-1066, September.
  13. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
  14. Sohn, Jinhyeon & Park, Sungsoo, 1997. "A linear program for the two-hub location problem," European Journal of Operational Research, Elsevier, vol. 100(3), pages 617-622, August.
  15. Dhyani, Sneha & Jayaswal, Sachin & Sinha, Ankur & Vidyarthi, Navneet, 2019. "Alternate Second Order Conic Programming Reformulations for Hub Location with Capacity Selection under Demand," IIMA Working Papers WP 2018-12-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
  16. Yu, Bin & Zhu, Hanbing & Cai, Wanjun & Ma, Ning & Kuang, Qiji & Yao, Baozhen, 2013. "Two-phase optimization approach to transit hub location – the case of Dalian," Journal of Transport Geography, Elsevier, vol. 33(C), pages 62-71.
  17. Hu, Lu & Zhu, Juan Xiu & Wang, Yuan & Lee, Loo Hay, 2018. "Joint design of fleet size, hub locations, and hub capacities for third-party logistics networks with road congestion constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 568-588.
  18. Rath, Srushti & Chow, Joseph Y.J., 2022. "Air taxi skyport location problem with single-allocation choice-constrained elastic demand for airport access," Journal of Air Transport Management, Elsevier, vol. 105(C).
  19. Hsu, Chaug-Ing & Wen, Yuh-Horng, 2002. "Reliability evaluation for airline network design in response to fluctuation in passenger demand," Omega, Elsevier, vol. 30(3), pages 197-213, June.
  20. Pirkul, Hasan & Soni, Samit, 2003. "New formulations and solution procedures for the hop constrained network design problem," European Journal of Operational Research, Elsevier, vol. 148(1), pages 126-140, July.
  21. Nam Seok Kim & Byungkyu Park & Kang-Dae Lee, 2016. "A knowledge based freight management decision support system incorporating economies of scale: multimodal minimum cost flow optimization approach," Information Technology and Management, Springer, vol. 17(1), pages 81-94, March.
  22. F. Parvaresh & S. Hashemi Golpayegany & S. Moattar Husseini & B. Karimi, 2013. "Solving the p-hub Median Problem Under Intentional Disruptions Using Simulated Annealing," Networks and Spatial Economics, Springer, vol. 13(4), pages 445-470, December.
  23. Hu, Qing-Mi & Hu, Shaolong & Wang, Jian & Li, Xiaoping, 2021. "Stochastic single allocation hub location problems with balanced utilization of hub capacities," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 204-227.
  24. Yaman, Hande & Kara, Bahar Y. & Tansel, Barbaros Ç., 2007. "The latest arrival hub location problem for cargo delivery systems with stopovers," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 906-919, October.
  25. Masaeli, Mobina & Alumur, Sibel A. & Bookbinder, James H., 2018. "Shipment scheduling in hub location problems," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 126-142.
  26. Ebery, Jamie, 2001. "Solving large single allocation p-hub problems with two or three hubs," European Journal of Operational Research, Elsevier, vol. 128(2), pages 447-458, January.
  27. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
  28. Alumur, Sibel A. & Kara, Bahar Y. & Karasan, Oya E., 2009. "The design of single allocation incomplete hub networks," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 936-951, December.
  29. Cunha, Claudio B. & Silva, Marcos Roberto, 2007. "A genetic algorithm for the problem of configuring a hub-and-spoke network for a LTL trucking company in Brazil," European Journal of Operational Research, Elsevier, vol. 179(3), pages 747-758, June.
  30. Wu, Xin (Bruce) & Lu, Jiawei & Wu, Shengnan & Zhou, Xuesong (Simon), 2021. "Synchronizing time-dependent transportation services: Reformulation and solution algorithm using quadratic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 140-179.
  31. Erdoğan, Güneş & Battarra, Maria & Rodríguez-Chía, Antonio M., 2022. "The hub location and pricing problem," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1035-1047.
  32. Taherkhani, Gita & Alumur, Sibel A., 2019. "Profit maximizing hub location problems," Omega, Elsevier, vol. 86(C), pages 1-15.
  33. Sohn, Jinhyeon & Park, Sungsoo, 1998. "Efficient solution procedure and reduced size formulations for p-hub location problems," European Journal of Operational Research, Elsevier, vol. 108(1), pages 118-126, July.
  34. Mari'n, Alfredo & Canovas, Lazaro & Landete, Mercedes, 2006. "New formulations for the uncapacitated multiple allocation hub location problem," European Journal of Operational Research, Elsevier, vol. 172(1), pages 274-292, July.
  35. An, Yu & Zhang, Yu & Zeng, Bo, 2015. "The reliable hub-and-spoke design problem: Models and algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 103-122.
  36. Edward Hult & Houyuan Jiang & Daniel Ralph, 2014. "Exact computational approaches to a stochastic uncapacitated single allocation p-hub center problem," Computational Optimization and Applications, Springer, vol. 59(1), pages 185-200, October.
  37. Adler, Nicole & Njoya, Eric Tchouamou & Volta, Nicola, 2018. "The multi-airline p-hub median problem applied to the African aviation market," Transportation Research Part A: Policy and Practice, Elsevier, vol. 107(C), pages 187-202.
  38. K L Poh & K W Choo & C G Wong, 2005. "A heuristic approach to the multi-period multi-commodity transportation problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 708-718, June.
  39. Ghaffarinasab, Nader & Motallebzadeh, Alireza, 2018. "Hub interdiction problem variants: Models and metaheuristic solution algorithms," European Journal of Operational Research, Elsevier, vol. 267(2), pages 496-512.
  40. A. T. Ernst & M. Krishnamoorthy, 1998. "An Exact Solution Approach Based on Shortest-Paths for p -Hub Median Problems," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 149-162, May.
  41. Zheng, Jianfeng & Meng, Qiang & Sun, Zhuo, 2014. "Impact analysis of maritime cabotage legislations on liner hub-and-spoke shipping network design," European Journal of Operational Research, Elsevier, vol. 234(3), pages 874-884.
  42. Nader Azizi & Navneet Vidyarthi & Satyaveer S. Chauhan, 2018. "Modelling and analysis of hub-and-spoke networks under stochastic demand and congestion," Annals of Operations Research, Springer, vol. 264(1), pages 1-40, May.
  43. Bahar Y. Kara & Barbaros Ç. Tansel, 2001. "The Latest Arrival Hub Location Problem," Management Science, INFORMS, vol. 47(10), pages 1408-1420, October.
  44. Zhongfeng Qin & Yuan Gao, 2017. "Uncapacitated $$p$$ p -hub location problem with fixed costs and uncertain flows," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 705-716, March.
  45. Soylu, Banu & Katip, Hatice, 2019. "A multiobjective hub-airport location problem for an airline network design," European Journal of Operational Research, Elsevier, vol. 277(2), pages 412-425.
  46. Meuffels, W.J.M., 2015. "The design of road and air networks for express service providers," Other publications TiSEM d3266cb8-bc55-41be-adc7-4, Tilburg University, School of Economics and Management.
  47. Tiwari, Richa & Jayaswal, Sachin & Sinha, Ankur, 2021. "Alternate solution approaches for competitive hub location problems," European Journal of Operational Research, Elsevier, vol. 290(1), pages 68-80.
  48. Shahabi, Mehrdad & Unnikrishnan, Avinash, 2014. "Robust hub network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 356-373.
  49. Roni, Md.S. & Eksioglu, Sandra D. & Searcy, Erin & Jha, Krishna, 2014. "A supply chain network design model for biomass co-firing in coal-fired power plants," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 115-134.
  50. Murat Köksalan & Banu Soylu, 2010. "Bicriteria p -Hub Location Problems and Evolutionary Algorithms," INFORMS Journal on Computing, INFORMS, vol. 22(4), pages 528-542, November.
  51. Tiwari, Richa & Jayaswal, Sachin & Sinha, Ankur, 2021. "Competitive hub location problem: Model and solution approaches," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 237-261.
  52. Farid Momayezi & S. Kamal Chaharsooghi & Mohammad Mehdi Sepehri & Ali Husseinzadeh Kashan, 2021. "The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm," Operational Research, Springer, vol. 21(1), pages 139-166, March.
  53. Correia, Isabel & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2010. "The capacitated single-allocation hub location problem revisited: A note on a classical formulation," European Journal of Operational Research, Elsevier, vol. 207(1), pages 92-96, November.
  54. Hüseyin Güden, 2021. "New complexity results for the p-hub median problem," Annals of Operations Research, Springer, vol. 298(1), pages 229-247, March.
  55. de Sá, Elisangela Martins & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2013. "An improved Benders decomposition algorithm for the tree of hubs location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 185-202.
  56. Boland, Natashia & Krishnamoorthy, Mohan & Ernst, Andreas T. & Ebery, Jamie, 2004. "Preprocessing and cutting for multiple allocation hub location problems," European Journal of Operational Research, Elsevier, vol. 155(3), pages 638-653, June.
  57. Milad Keshvari Fard & Laurent Alfandari, 2018. "Trade-offs between the Stepwise Cost Function and its Linear Approximation for the Modular Hub Location Problem," Working Papers hal-01821280, HAL.
  58. Real, Luiza Bernardes & Contreras, Ivan & Cordeau, Jean-François & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2021. "Multimodal hub network design with flexible routes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 146(C).
  59. Alumur, Sibel A. & Campbell, James F. & Contreras, Ivan & Kara, Bahar Y. & Marianov, Vladimir & O’Kelly, Morton E., 2021. "Perspectives on modeling hub location problems," European Journal of Operational Research, Elsevier, vol. 291(1), pages 1-17.
  60. Mohammad S. Roni & Sandra D. Eksioglu & Kara G. Cafferty & Jacob J. Jacobson, 2017. "A multi-objective, hub-and-spoke model to design and manage biofuel supply chains," Annals of Operations Research, Springer, vol. 249(1), pages 351-380, February.
  61. Milad , Keshvari Fard & Laurent, Alfandari, 2018. "Trade-offs between the Stepwise Cost Function and its Linear Approximation for the Modular Hub Location Problem," ESSEC Working Papers WP1805, ESSEC Research Center, ESSEC Business School.
  62. Nader Ghaffarinasab & Bahar Y. Kara, 2019. "Benders Decomposition Algorithms for Two Variants of the Single Allocation Hub Location Problem," Networks and Spatial Economics, Springer, vol. 19(1), pages 83-108, March.
  63. Tiwari, Richa & Jayaswal, Sachin & Sinha, Ankur, 2019. "Competitive Hub Location Problems: Model and Solution Approaches," IIMA Working Papers WP 2019-12-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
  64. Contreras, Ivan & Fernández, Elena, 2012. "General network design: A unified view of combined location and network design problems," European Journal of Operational Research, Elsevier, vol. 219(3), pages 680-697.
  65. Adler, Nicole & Berechman, Joseph, 2001. "Evaluating optimal multi-hub networks in a deregulated aviation market with an application to Western Europe," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(5), pages 373-390, June.
  66. Ishfaq, Rafay & Sox, Charles R., 2012. "Design of intermodal logistics networks with hub delays," European Journal of Operational Research, Elsevier, vol. 220(3), pages 629-641.
  67. Abdinnour-Helm, Sue, 1998. "A hybrid heuristic for the uncapacitated hub location problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 489-499, April.
  68. S Alumur & B Y Kara, 2009. "A hub covering network design problem for cargo applications in Turkey," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(10), pages 1349-1359, October.
  69. Aros-Vera, Felipe & Marianov, Vladimir & Mitchell, John E., 2013. "p-Hub approach for the optimal park-and-ride facility location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 277-285.
  70. Selim Çetiner & Canan Sepil & Haldun Süral, 2010. "Hubbing and routing in postal delivery systems," Annals of Operations Research, Springer, vol. 181(1), pages 109-124, December.
  71. Matsubayashi, Nobuo & Umezawa, Masashi & Masuda, Yasushi & Nishino, Hisakazu, 2005. "A cost allocation problem arising in hub-spoke network systems," European Journal of Operational Research, Elsevier, vol. 160(3), pages 821-838, February.
  72. Nicolas Kämmerling & Jannis Kurtz, 2020. "Oracle-based algorithms for binary two-stage robust optimization," Computational Optimization and Applications, Springer, vol. 77(2), pages 539-569, November.
  73. Yang, Lingxiao & Zheng, Jianfeng & Wang, Jian & Hu, Xiaowei, 2023. "The maximal detour liner shipping hub location problem: Improving the applicability of the p-hub center problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
  74. Ishfaq, Rafay & Sox, Charles R., 2011. "Hub location-allocation in intermodal logistic networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 213-230, April.
  75. Hyun Kim & Megan S. Ryerson, 2017. "The q-Ad Hoc Hub Location Problem for Multi-modal Networks," Networks and Spatial Economics, Springer, vol. 17(3), pages 1015-1041, September.
  76. Ramamoorthy, Prasanna & Jayaswal, Sachin & Sinha, Ankur & Vidyarthi, Navneet, 2018. "Multiple allocation hub interdiction and protection problems: Model formulations and solution approaches," European Journal of Operational Research, Elsevier, vol. 270(1), pages 230-245.
  77. Kara, Bahar Y. & Tansel, Barbaros C., 2000. "On the single-assignment p-hub center problem," European Journal of Operational Research, Elsevier, vol. 125(3), pages 648-655, September.
  78. Campbell, Ann Melissa & Lowe, Timothy J. & Zhang, Li, 2007. "The p-hub center allocation problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 819-835, January.
  79. El Mehdi Ibnoulouafi & Mustapha Oudani & Tarik Aouam & Mounir Ghogho, 2022. "Intermodal Green p-Hub Median Problem with Incomplete Hub-Network," Sustainability, MDPI, vol. 14(18), pages 1-29, September.
  80. Sabine Limbourg & Bart Jourquin, 2010. "Market area of intermodal rail‐road container terminals embedded in a hub‐and‐spoke network," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 135-154, March.
  81. Tiwari, Richa & Jayaswal, Sachin & Sinha, Ankur, 2019. "Alternate Solution Approaches for Competitive Hub Location Problems," IIMA Working Papers WP 2019-12-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
  82. Alumur, Sibel & Kara, Bahar Y., 2008. "Network hub location problems: The state of the art," European Journal of Operational Research, Elsevier, vol. 190(1), pages 1-21, October.
  83. Wagner, Bernd, 2007. "An exact solution procedure for a cluster hub location problem," European Journal of Operational Research, Elsevier, vol. 178(2), pages 391-401, April.
  84. Corberán, Ángel & Landete, Mercedes & Peiró, Juanjo & Saldanha-da-Gama, Francisco, 2019. "Improved polyhedral descriptions and exact procedures for a broad class of uncapacitated p-hub median problems," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 38-63.
  85. Ting L. Lei, 2019. "Evaluating the Vulnerability of Time-Sensitive Transportation Networks: A Hub Center Interdiction Problem," Sustainability, MDPI, vol. 11(17), pages 1-13, August.
  86. Sneha Dhyani Bhatt & Sachin Jayaswal & Ankur Sinha & Navneet Vidyarthi, 2021. "Alternate second order conic program reformulations for hub location under stochastic demand and congestion," Annals of Operations Research, Springer, vol. 304(1), pages 481-527, September.
  87. B Wagner, 2008. "Model formulations for hub covering problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 932-938, July.
  88. J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part I---Introduction and Results," Management Science, INFORMS, vol. 51(10), pages 1540-1555, October.
  89. Elham Ziar & Mehdi Seifbarghy & Mahdi Bashiri & Benny Tjahjono, 2023. "An efficient environmentally friendly transportation network design via dry ports: a bi-level programming approach," Annals of Operations Research, Springer, vol. 322(2), pages 1143-1166, March.
  90. Gelareh, Shahin & Nickel, Stefan, 2011. "Hub location problems in transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1092-1111.
  91. Ramamoorthy, Prasanna & Jayaswal, Sachin & Sinha, Ankur & Vidyarthi, Navneet, 2016. "Hub Interdiction & Hub Protection problems: Model formulations & Exact Solution methods. (Revised)," IIMA Working Papers WP2016-10-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
  92. Racunica, Illia & Wynter, Laura, 2005. "Optimal location of intermodal freight hubs," Transportation Research Part B: Methodological, Elsevier, vol. 39(5), pages 453-477, June.
  93. Alumur, Sibel A. & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2012. "Hub location under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 529-543.
  94. Mohammad Mahdi Nasiri & Amir Khaleghi & Kannan Govindan & Ali Bozorgi-Amiri, 2023. "Sustainable hierarchical multi-modal hub network design problem: bi-objective formulations and solution algorithms," Operational Research, Springer, vol. 23(2), pages 1-62, June.
  95. Yang, Kai & Yang, Lixing & Gao, Ziyou, 2016. "Planning and optimization of intermodal hub-and-spoke network under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 248-266.
  96. Ebery, Jamie & Krishnamoorthy, Mohan & Ernst, Andreas & Boland, Natashia, 2000. "The capacitated multiple allocation hub location problem: Formulations and algorithms," European Journal of Operational Research, Elsevier, vol. 120(3), pages 614-631, February.
  97. Hande Yaman & Oya Ekin Karasan & Bahar Y. Kara, 2012. "Release Time Scheduling and Hub Location for Next-Day Delivery," Operations Research, INFORMS, vol. 60(4), pages 906-917, August.
  98. Milorad Vidović & Slobodan Zečević & Milorad Kilibarda & Jelena Vlajić & Nenad Bjelić & Snežana Tadić, 2011. "The p-hub Model with Hub-catchment Areas, Existing Hubs, and Simulation: A Case Study of Serbian Intermodal Terminals," Networks and Spatial Economics, Springer, vol. 11(2), pages 295-314, June.
  99. Yaman, Hande, 2009. "The hierarchical hub median problem with single assignment," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 643-658, July.
  100. Rostami, Borzou & Kämmerling, Nicolas & Naoum-Sawaya, Joe & Buchheim, Christoph & Clausen, Uwe, 2021. "Stochastic single-allocation hub location," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1087-1106.
  101. Jesús Muñuzuri & Pablo Cortés & Rafael Grosso & Luis Onieva, 2016. "Teaching Heuristic Methods to Industrial Engineers: A Problem-Based Experience," INFORMS Transactions on Education, INFORMS, vol. 16(2), pages 60-67, January.
  102. Hasan Pirkul & David A. Schilling, 1998. "An Efficient Procedure for Designing Single Allocation Hub and Spoke Systems," Management Science, INFORMS, vol. 44(12-Part-2), pages 235-242, December.
  103. Mohammadi, Mehrdad & Jula, Payman & Tavakkoli-Moghaddam, Reza, 2017. "Design of a reliable multi-modal multi-commodity model for hazardous materials transportation under uncertainty," European Journal of Operational Research, Elsevier, vol. 257(3), pages 792-809.
  104. Nader Azizi, 2019. "Managing facility disruption in hub-and-spoke networks: formulations and efficient solution methods," Annals of Operations Research, Springer, vol. 272(1), pages 159-185, January.
  105. Ghaffarinasab, Nader & Atayi, Reza, 2018. "An implicit enumeration algorithm for the hub interdiction median problem with fortification," European Journal of Operational Research, Elsevier, vol. 267(1), pages 23-39.
  106. Contreras, Ivan & Fernández, Elena & Marín, Alfredo, 2010. "The Tree of Hubs Location Problem," European Journal of Operational Research, Elsevier, vol. 202(2), pages 390-400, April.
  107. Marc Janschekowitz & Gita Taherkhani & Sibel A. Alumur & Stefan Nickel, 2023. "An alternative approach to address uncertainty in hub location," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(2), pages 359-393, June.
  108. Podnar, Hrvoje & Skorin-Kapov, Jadranka & Skorin-Kapov, Darko, 2002. "Network cost minimization using threshold-based discounting," European Journal of Operational Research, Elsevier, vol. 137(2), pages 371-386, March.
  109. Mahmutogullari, Ali Irfan & Kara, Bahar Y., 2016. "Hub location under competition," European Journal of Operational Research, Elsevier, vol. 250(1), pages 214-225.
  110. García, Sergio & Landete, Mercedes & Marín, Alfredo, 2012. "New formulation and a branch-and-cut algorithm for the multiple allocation p-hub median problem," European Journal of Operational Research, Elsevier, vol. 220(1), pages 48-57.
  111. B Y Kara & B C Tansel, 2003. "The single-assignment hub covering problem: Models and linearizations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 59-64, January.
  112. Trung Hieu Tran & Jesse R. O’Hanley & M. Paola Scaparra, 2017. "Reliable Hub Network Design: Formulation and Solution Techniques," Transportation Science, INFORMS, vol. 51(1), pages 358-375, February.
  113. Shuxia Li & Yuedan Zu & Huimin Fang & Liping Liu & Tijun Fan, 2021. "Design Optimization of a HAZMAT Multimodal Hub-and-Spoke Network with Detour," IJERPH, MDPI, vol. 18(23), pages 1-18, November.
  114. Yuan, Yun & Yu, Jie, 2018. "Locating transit hubs in a multi-modal transportation network: A cluster-based optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 85-103.
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