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The Quadratic Assignment Problem

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  1. Ravi Kumar, K. & Hadjinicola, George C. & Lin, Ting-li, 1995. "A heuristic procedure for the single-row facility layout problem," European Journal of Operational Research, Elsevier, vol. 87(1), pages 65-73, November.
  2. Gouveia, Luis & Vo[ss], Stefan, 1995. "A classification of formulations for the (time-dependent) traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 83(1), pages 69-82, May.
  3. Vittorio Maniezzo, 1999. "Exact and Approximate Nondeterministic Tree-Search Procedures for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 358-369, November.
  4. Christoph Buchheim & Emiliano Traversi, 2018. "Quadratic Combinatorial Optimization Using Separable Underestimators," INFORMS Journal on Computing, INFORMS, vol. 30(3), pages 424-437, August.
  5. Xie, Yue & Zhou, Shenghan & Xiao, Yiyong & Kulturel-Konak, Sadan & Konak, Abdullah, 2018. "A β-accurate linearization method of Euclidean distance for the facility layout problem with heterogeneous distance metrics," European Journal of Operational Research, Elsevier, vol. 265(1), pages 26-38.
  6. Mohammad Javad Feizollahi & Igor Averbakh, 2014. "The Robust (Minmax Regret) Quadratic Assignment Problem with Interval Flows," INFORMS Journal on Computing, INFORMS, vol. 26(2), pages 321-335, May.
  7. Preeti & Kusum Deep, 2024. "Density Peak Clustering Using Grey Wolf Optimization Approach," Journal of Classification, Springer;The Classification Society, vol. 41(2), pages 338-370, July.
  8. 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.
  9. Rostami, Borzou & Chassein, André & Hopf, Michael & Frey, Davide & Buchheim, Christoph & Malucelli, Federico & Goerigk, Marc, 2018. "The quadratic shortest path problem: complexity, approximability, and solution methods," European Journal of Operational Research, Elsevier, vol. 268(2), pages 473-485.
  10. Tansel, Barbaros C. & Bilen, Canan, 1998. "Move based heuristics for the unidirectional loop network layout problem," European Journal of Operational Research, Elsevier, vol. 108(1), pages 36-48, July.
  11. Bolte, Andreas & Thonemann, Ulrich Wilhelm, 1996. "Optimizing simulated annealing schedules with genetic programming," European Journal of Operational Research, Elsevier, vol. 92(2), pages 402-416, July.
  12. Hasegawa, Mikio & Ikeguchi, Tohru & Aihara, Kazuyuki & Itoh, Kohji, 2002. "A novel chaotic search for quadratic assignment problems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 543-556, June.
  13. Ball, Michael O. & Kaku, Bharat K. & Vakhutinsky, Andrew, 1998. "Network-based formulations of the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 104(1), pages 241-249, January.
  14. Jooken, Jorik & Leyman, Pieter & De Causmaecker, Patrick, 2022. "A new class of hard problem instances for the 0–1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 301(3), pages 841-854.
  15. D. J. White, 1993. "A parametric‐based heuristic program for the quadratic assignment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 553-568, June.
  16. Chaoqun Ni & Cassidy R. Sugimoto & Blaise Cronin, 2013. "Visualizing and comparing four facets of scholarly communication: producers, artifacts, concepts, and gatekeepers," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(3), pages 1161-1173, March.
  17. Feizollahi, Mohammad Javad & Feyzollahi, Hadi, 2015. "Robust quadratic assignment problem with budgeted uncertain flows," Operations Research Perspectives, Elsevier, vol. 2(C), pages 114-123.
  18. Silva, Allyson & Coelho, Leandro C. & Darvish, Maryam, 2021. "Quadratic assignment problem variants: A survey and an effective parallel memetic iterated tabu search," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1066-1084.
  19. M. Gaudioso & L. Moccia & M. F. Monaco, 2010. "Repulsive Assignment Problem," Journal of Optimization Theory and Applications, Springer, vol. 144(2), pages 255-273, February.
  20. Ceder, A. & Golany, B. & Tal, O., 2001. "Creating bus timetables with maximal synchronization," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(10), pages 913-928, December.
  21. Mans, Bernard & Mautor, Thierry & Roucairol, Catherine, 1995. "A parallel depth first search branch and bound algorithm for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 81(3), pages 617-628, March.
  22. E. de Klerk & R. Sotirov & U. Truetsch, 2015. "A New Semidefinite Programming Relaxation for the Quadratic Assignment Problem and Its Computational Perspectives," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 378-391, May.
  23. Liles, Joseph M. & Robbins, Matthew J. & Lunday, Brian J., 2023. "Improving defensive air battle management by solving a stochastic dynamic assignment problem via approximate dynamic programming," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1435-1449.
  24. Dorndorf, Ulrich & Drexl, Andreas & Nikulin, Yury & Pesch, Erwin, 2007. "Flight gate scheduling: State-of-the-art and recent developments," Omega, Elsevier, vol. 35(3), pages 326-334, June.
  25. Diefenbach, Heiko & Grosse, Eric H. & Glock, Christoph H., 2024. "Human-and-cost-centric storage assignment optimization in picker-to-parts warehouses," European Journal of Operational Research, Elsevier, vol. 315(3), pages 1049-1068.
  26. Hahn, Peter & Grant, Thomas & Hall, Nat, 1998. "A branch-and-bound algorithm for the quadratic assignment problem based on the Hungarian method," European Journal of Operational Research, Elsevier, vol. 108(3), pages 629-640, August.
  27. Drexl, Andreas & Nikulin, Yury, 2005. "Multicriteria airport gate assignment and pareto simulated annealing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 586, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  28. Yunpeng Sun & Ruoya Jia & Asif Razzaq & Qun Bao, 2023. "RETRACTED ARTICLE: Drivers of China’s geographical renewable energy development: evidence from spatial association network structure approaches," Economic Change and Restructuring, Springer, vol. 56(6), pages 4115-4163, December.
  29. Jiming Peng & Tao Zhu & Hezhi Luo & Kim-Chuan Toh, 2015. "Semi-definite programming relaxation of quadratic assignment problems based on nonredundant matrix splitting," Computational Optimization and Applications, Springer, vol. 60(1), pages 171-198, January.
  30. Chiang, Wen-Chyuan & Chiang, Chi, 1998. "Intelligent local search strategies for solving facility layout problems with the quadratic assignment problem formulation," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 457-488, April.
  31. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
  32. Dorndorf, Ulrich & Drexl, Andreas & Nikulin, Yury & Pesch, Erwin, 2005. "Flight gate scheduling: State-of-the-art and recent developments," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 584, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  33. Peter Hahn & Thomas Grant, 1998. "Lower Bounds for the Quadratic Assignment Problem Based upon a Dual Formulation," Operations Research, INFORMS, vol. 46(6), pages 912-922, December.
  34. Pessoa, Artur Alves & Hahn, Peter M. & Guignard, Monique & Zhu, Yi-Rong, 2010. "Algorithms for the generalized quadratic assignment problem combining Lagrangean decomposition and the Reformulation-Linearization Technique," European Journal of Operational Research, Elsevier, vol. 206(1), pages 54-63, October.
  35. Mamadou Koné & Mouhamadou A.M.T. Baldé & Babacar M. Ndiaye, 2019. "A Dichotomic Algorithm for Transportation Network and Land Use Problem," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(1), pages 42-56, February.
  36. Ravindra K. Ahuja & Krishna C. Jha & James B. Orlin & Dushyant Sharma, 2007. "Very Large-Scale Neighborhood Search for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 646-657, November.
  37. H K Smith & G Laporte & P R Harper, 2009. "Locational analysis: highlights of growth to maturity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 140-148, May.
  38. Michael J. Brusco & Douglas Steinley & Ashley L. Watts, 2022. "Disentangling relationships in symptom networks using matrix permutation methods," Psychometrika, Springer;The Psychometric Society, vol. 87(1), pages 133-155, March.
  39. Matteo Fischetti & Michele Monaci & Domenico Salvagnin, 2012. "Three Ideas for the Quadratic Assignment Problem," Operations Research, INFORMS, vol. 60(4), pages 954-964, August.
  40. David Bergman, 2019. "An Exact Algorithm for the Quadratic Multiknapsack Problem with an Application to Event Seating," INFORMS Journal on Computing, INFORMS, vol. 31(3), pages 477-492, July.
  41. Chiang, Wen-Chyuan & Kouvelis, Panagiotis & Urban, Timothy L., 2006. "Single- and multi-objective facility layout with workflow interference considerations," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1414-1426, November.
  42. Richárd Molnár-Szipai & Anita Varga, 2019. "Integrating combinatorial algorithms into a linear programming solver," 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. 27(2), pages 475-482, June.
  43. Frank Meijer & Renata Sotirov, 2020. "The quadratic cycle cover problem: special cases and efficient bounds," Journal of Combinatorial Optimization, Springer, vol. 39(4), pages 1096-1128, May.
  44. Caprara, Alberto, 2008. "Constrained 0-1 quadratic programming: Basic approaches and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1494-1503, June.
  45. Gregory Tauer & Rakesh Nagi & Moises Sudit, 2013. "The graph association problem: Mathematical models and a lagrangian heuristic," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(3), pages 251-268, April.
  46. Adams, Warren P. & Guignard, Monique & Hahn, Peter M. & Hightower, William L., 2007. "A level-2 reformulation-linearization technique bound for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 983-996, August.
  47. Alexander Barvinok & Tamon Stephen, 2003. "The Distribution of Values in the Quadratic Assignment Problem," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 64-91, February.
  48. Qing Zhao & Stefan E. Karisch & Franz Rendl & Henry Wolkowicz, 1998. "Semidefinite Programming Relaxations for the Quadratic Assignment Problem," Journal of Combinatorial Optimization, Springer, vol. 2(1), pages 71-109, March.
  49. Pawel Kalczynski & Zvi Goldstein & Zvi Drezner, 2023. "An Efficient Heuristic for the k-Partitioning Problem," SN Operations Research Forum, Springer, vol. 4(4), pages 1-21, December.
  50. Yang Wang & Wei Yang & Abraham P. Punnen & Jingbo Tian & Aihua Yin & Zhipeng Lü, 2021. "The Rank-One Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 979-996, July.
  51. Haghani, Ali & Chen, Min-Ching, 1998. "Optimizing gate assignments at airport terminals," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(6), pages 437-454, August.
  52. Kazuhiro Tsuchiya & Sunil Bharitkar & Yoshiyasu Takefuji, 1996. "A neural network approach to facility layout problems," European Journal of Operational Research, Elsevier, vol. 89(3), pages 556-563, March.
  53. Mouhamadou A. M. T. Baldé & Serigne Gueye & Babacar M. Ndiaye, 2021. "A greedy evolutionary hybridization algorithm for the optimal network and quadratic assignment problem," Operational Research, Springer, vol. 21(3), pages 1663-1690, September.
  54. Ketan Date & Rakesh Nagi, 2019. "Level 2 Reformulation Linearization Technique–Based Parallel Algorithms for Solving Large Quadratic Assignment Problems on Graphics Processing Unit Clusters," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 771-789, October.
  55. Yuelin Shen, 2008. "Reactive Tabu Search in a Team-Learning Problem," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 500-509, November.
  56. Ahuja, Ravindra & Jha, Krishna & Orlin, James & Sharma, Dushyant, 2003. "Very Large-Scale Neighborhood Search For The Quadratic Assignment Problem," Working papers 4386-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
  57. Arora, Shalini & Puri, M. C., 1998. "A variant of time minimizing assignment problem," European Journal of Operational Research, Elsevier, vol. 110(2), pages 314-325, October.
  58. Jerzy Grobelny & Rafal Michalski, 2016. "A concept of a flexible approach to the facilities layout problems in logistics systems," WORking papers in Management Science (WORMS) WORMS/16/11, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.
  59. Punnen, Abraham P. & Wang, Yang, 2016. "The bipartite quadratic assignment problem and extensions," European Journal of Operational Research, Elsevier, vol. 250(3), pages 715-725.
  60. Abdelaziz, Fouad Ben & Maddah, Bacel & Flamand, Tülay & Azar, Jimmy, 2024. "Store-Wide space planning balancing impulse and convenience," European Journal of Operational Research, Elsevier, vol. 312(1), pages 211-226.
  61. Wen-Chyuan Chiang & Panagiotis Kouvelis & Timothy L. Urban, 2002. "Incorporating Workflow Interference in Facility Layout Design: The Quartic Assignment Problem," Management Science, INFORMS, vol. 48(4), pages 584-590, April.
  62. Gerald Y. Agbegha & Ronald H. Ballou & Kamlesh Mathur, 1998. "Optimizing Auto-Carrier Loading," Transportation Science, INFORMS, vol. 32(2), pages 174-188, May.
  63. Hahn, Peter M. & Kim, Bum-Jin & Stutzle, Thomas & Kanthak, Sebastian & Hightower, William L. & Samra, Harvind & Ding, Zhi & Guignard, Monique, 2008. "The quadratic three-dimensional assignment problem: Exact and approximate solution methods," European Journal of Operational Research, Elsevier, vol. 184(2), pages 416-428, January.
  64. Alcaide-López-de-Pablo, David & Sicilia, Joaquín & González-Sierra, Miguel Á., 2017. "Locating names on vertices of a transaction network," European Journal of Operational Research, Elsevier, vol. 262(2), pages 464-478.
  65. Alberto Santini & Stefan Ropke & Lars Magnus Hvattum, 2018. "A comparison of acceptance criteria for the adaptive large neighbourhood search metaheuristic," Journal of Heuristics, Springer, vol. 24(5), pages 783-815, October.
  66. Yichuan Ding & Henry Wolkowicz, 2009. "A Low-Dimensional Semidefinite Relaxation for the Quadratic Assignment Problem," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 1008-1022, November.
  67. Pentico, David W., 2007. "Assignment problems: A golden anniversary survey," European Journal of Operational Research, Elsevier, vol. 176(2), pages 774-793, January.
  68. Ramachandran, Bala & Pekny, J. F., 1998. "Lower bounds for nonlinear assignment problems using many body interactions," European Journal of Operational Research, Elsevier, vol. 105(1), pages 202-215, February.
  69. Solimanpur, M. & Vrat, P. & Shankar, R., 2004. "Ant colony optimization algorithm to the inter-cell layout problem in cellular manufacturing," European Journal of Operational Research, Elsevier, vol. 157(3), pages 592-606, September.
  70. Ekta Jain & Kalpana Dahiya & Vanita Verma, 2020. "A priority based unbalanced time minimization assignment problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 13-45, March.
  71. Hao Hu & Renata Sotirov, 2021. "The linearization problem of a binary quadratic problem and its applications," Annals of Operations Research, Springer, vol. 307(1), pages 229-249, December.
  72. Santosh N. Kabadi & Abraham P. Punnen, 2011. "An O ( n 4 ) Algorithm for the QAP Linearization Problem," Mathematics of Operations Research, INFORMS, vol. 36(4), pages 754-761, November.
  73. Weitz, R. R. & Lakshminarayanan, S., 1997. "An empirical comparison of heuristic and graph theoretic methods for creating maximally diverse groups, VLSI design, and exam scheduling," Omega, Elsevier, vol. 25(4), pages 473-482, August.
  74. Mavridou, T. & Pardalos, P.M. & Pitsoulis, L.S. & Resende, Mauricio G.C., 1998. "A GRASP for the biquadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 105(3), pages 613-621, March.
  75. Jingyang Zhou & Peter E.D. Love & Kok Lay Teo & Hanbin Luo, 2017. "An exact penalty function method for optimising QAP formulation in facility layout problem," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 2913-2929, May.
  76. Enrique Domínguez & Alfredo Marín, 2020. "Discrete ordered median problem with induced order," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 793-813, October.
  77. Kim, J. -Y. & Kim, Y. -D., 1995. "Graph theoretic heuristics for unequal-sized facility layout problems," Omega, Elsevier, vol. 23(4), pages 391-401, August.
  78. Huizhen Zhang & Cesar Beltran-Royo & Liang Ma, 2013. "Solving the quadratic assignment problem by means of general purpose mixed integer linear programming solvers," Annals of Operations Research, Springer, vol. 207(1), pages 261-278, August.
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