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A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem

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  1. Heydar Ali Mardani-Fard & Abdollah Hadi-Vencheh & Ali Mahmoodirad & Sadegh Niroomand, 2020. "An effective hybrid goal programming approach for multi-objective straight assembly line balancing problem with stochastic parameters," Operational Research, Springer, vol. 20(4), pages 1939-1976, December.
  2. Nakade, Koichi & Ohno, Katsuhisa, 1999. "An optimal worker allocation problem for a U-shaped production line," International Journal of Production Economics, Elsevier, vol. 60(1), pages 353-358, April.
  3. Anulark Pinnoi & Wilbert E. Wilhelm, 1998. "Assembly System Design: A Branch and Cut Approach," Management Science, INFORMS, vol. 44(1), pages 103-118, January.
  4. Miltenburg, John, 1998. "Balancing U-lines in a multiple U-line facility," European Journal of Operational Research, Elsevier, vol. 109(1), pages 1-23, August.
  5. Bautista, Joaquín & Batalla-García, Cristina & Alfaro-Pozo, Rocío, 2016. "Models for assembly line balancing by temporal, spatial and ergonomic risk attributes," European Journal of Operational Research, Elsevier, vol. 251(3), pages 814-829.
  6. Lopes, Thiago Cantos & Pastre, Giuliano Vidal & Michels, Adalberto Sato & Magatão, Leandro, 2020. "Flexible multi-manned assembly line balancing problem: Model, heuristic procedure, and lower bounds for line length minimization," Omega, Elsevier, vol. 95(C).
  7. Hager Triki & Ahmed Mellouli & Faouzi Masmoudi, 2017. "A multi-objective genetic algorithm for assembly line resource assignment and balancing problem of type 2 (ALRABP-2)," Journal of Intelligent Manufacturing, Springer, vol. 28(2), pages 371-385, February.
  8. Manuel Chica & Joaquín Bautista & Jesica de Armas, 2019. "Benefits of robust multiobjective optimization for flexible automotive assembly line balancing," Flexible Services and Manufacturing Journal, Springer, vol. 31(1), pages 75-103, March.
  9. Bukchin, Joseph & Masin, Michael, 2004. "Multi-objective design of team oriented assembly systems," European Journal of Operational Research, Elsevier, vol. 156(2), pages 326-352, July.
  10. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2007. "A classification of assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 183(2), pages 674-693, December.
  11. Bautista, Joaquín & Pereira, Jordi, 2009. "A dynamic programming based heuristic for the assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 194(3), pages 787-794, May.
  12. Bukchin, Joseph & Darel, Ezey & Rubinovitz, Jacob, 1997. "Team-oriented assembly system design: A new approach," International Journal of Production Economics, Elsevier, vol. 51(1-2), pages 47-57, August.
  13. Scholl, Armin & Fliedner, Malte & Boysen, Nils, 2010. "Absalom: Balancing assembly lines with assignment restrictions," European Journal of Operational Research, Elsevier, vol. 200(3), pages 688-701, February.
  14. Rifat G. Ozdemir & Ugur Cinar & Eren Kalem & Onur Ozcelik, 2016. "Sub-assembly detection and line balancing using fuzzy goal programming approach," International Journal of Data Analysis Techniques and Strategies, Inderscience Enterprises Ltd, vol. 8(1), pages 65-86.
  15. Agpak, Kursad & Gokcen, Hadi, 2007. "A chance-constrained approach to stochastic line balancing problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1098-1115, August.
  16. Ibrahim Kucukkoc & Kadir Buyukozkan & Sule Itir Satoglu & David Z. Zhang, 2019. "A mathematical model and artificial bee colony algorithm for the lexicographic bottleneck mixed-model assembly line balancing problem," Journal of Intelligent Manufacturing, Springer, vol. 30(8), pages 2913-2925, December.
  17. Amen, Matthias, 2000. "Heuristic methods for cost-oriented assembly line balancing: A survey," International Journal of Production Economics, Elsevier, vol. 68(1), pages 1-14, October.
  18. Hsiu-Hsueh Kao & Din-Horng Yeh & Yi-Hsien Wang, 2011. "Resource Constrained Assembly Line Balancing Problem Solved with Ranked Positional Weight Rule," Review of Economics & Finance, Better Advances Press, Canada, vol. 1, pages 71-80, November.
  19. Emel Kızılkaya Aydoğan & Yılmaz Delice & Uğur Özcan & Cevriye Gencer & Özkan Bali, 2019. "Balancing stochastic U-lines using particle swarm optimization," Journal of Intelligent Manufacturing, Springer, vol. 30(1), pages 97-111, January.
  20. Fleszar, Krzysztof & Hindi, Khalil S., 2003. "An enumerative heuristic and reduction methods for the assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 145(3), pages 606-620, March.
  21. Agpak, Kursad & Gokcen, Hadi, 2005. "Assembly line balancing: Two resource constrained cases," International Journal of Production Economics, Elsevier, vol. 96(1), pages 129-140, April.
  22. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2008. "Assembly line balancing: Which model to use when," International Journal of Production Economics, Elsevier, vol. 111(2), pages 509-528, February.
  23. Becker, Christian & Scholl, Armin, 2009. "Balancing assembly lines with variable parallel workplaces: Problem definition and effective solution procedure," European Journal of Operational Research, Elsevier, vol. 199(2), pages 359-374, December.
  24. Battaïa, Olga & Dolgui, Alexandre, 2013. "A taxonomy of line balancing problems and their solutionapproaches," International Journal of Production Economics, Elsevier, vol. 142(2), pages 259-277.
  25. Pinnoi, Anulark & Wilhelm, Wilbert E., 2000. "Valid inequalities for a class of assembly system problems," European Journal of Operational Research, Elsevier, vol. 126(1), pages 31-50, October.
  26. Klindworth, Hanne & Otto, Christian & Scholl, Armin, 2012. "On a learning precedence graph concept for the automotive industry," European Journal of Operational Research, Elsevier, vol. 217(2), pages 259-269.
  27. Lopes, Thiago Cantos & Sikora, C.G.S. & Molina, Rafael Gobbi & Schibelbain, Daniel & Rodrigues, L.C.A. & Magatão, Leandro, 2017. "Balancing a robotic spot welding manufacturing line: An industrial case study," European Journal of Operational Research, Elsevier, vol. 263(3), pages 1033-1048.
  28. Becker, Christian & Scholl, Armin, 2006. "A survey on problems and methods in generalized assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 694-715, February.
  29. Scholl, Armin & Boysen, Nils, 2009. "Designing parallel assembly lines with split workplaces: Model and optimization procedure," International Journal of Production Economics, Elsevier, vol. 119(1), pages 90-100, May.
  30. Fatih Ugurdag, H. & Rachamadugu, Ram & Papachristou, Christos A., 1997. "Designing paced assembly lines with fixed number of stations," European Journal of Operational Research, Elsevier, vol. 102(3), pages 488-501, November.
  31. Andres, Carlos & Miralles, Cristobal & Pastor, Rafael, 2008. "Balancing and scheduling tasks in assembly lines with sequence-dependent setup times," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1212-1223, June.
  32. Pape, Tom, 2015. "Heuristics and lower bounds for the simple assembly line balancing problem type 1: Overview, computational tests and improvements," European Journal of Operational Research, Elsevier, vol. 240(1), pages 32-42.
  33. Gokcen, Hadi & Ag[caron]pak, Kursad, 2006. "A goal programming approach to simple U-line balancing problem," European Journal of Operational Research, Elsevier, vol. 171(2), pages 577-585, June.
  34. Franco Guerriero & John Miltenburg, 2003. "The stochastic U‐line balancing problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 31-57, February.
  35. Marcus Ritt & Alysson M. Costa & Cristóbal Miralles, 2016. "The assembly line worker assignment and balancing problem with stochastic worker availability," International Journal of Production Research, Taylor & Francis Journals, vol. 54(3), pages 907-922, February.
  36. Aase, Gerald R. & Olson, John R. & Schniederjans, Marc J., 2004. "U-shaped assembly line layouts and their impact on labor productivity: An experimental study," European Journal of Operational Research, Elsevier, vol. 156(3), pages 698-711, August.
  37. Kaji, Taichi & Ohuchi, Azuma, 1999. "A simulated annealing algorithm with the random compound move for the sequential partitioning problem of directed acyclic graphs," European Journal of Operational Research, Elsevier, vol. 112(1), pages 147-157, January.
  38. Scholl, Armin & Becker, Christian, 2005. "A note on "An exact method for cost-oriented assembly line balancing"," International Journal of Production Economics, Elsevier, vol. 97(3), pages 343-352, September.
  39. Minghai Yuan & Hongyan Yu & Jinting Huang & Aimin Ji, 2019. "Reconfigurable assembly line balancing for cloud manufacturing," Journal of Intelligent Manufacturing, Springer, vol. 30(6), pages 2391-2405, August.
  40. Walter, Rico & Schulze, Philipp & Scholl, Armin, 2021. "SALSA: Combining branch-and-bound with dynamic programming to smoothen workloads in simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 295(3), pages 857-873.
  41. Moreira, Mayron César O. & Costa, Alysson M., 2013. "Hybrid heuristics for planning job rotation schedules in assembly lines with heterogeneous workers," International Journal of Production Economics, Elsevier, vol. 141(2), pages 552-560.
  42. García-Villoria, Alberto & Corominas, Albert & Nadal, Adrià & Pastor, Rafael, 2018. "Solving the accessibility windows assembly line problem level 1 and variant 1 (AWALBP-L1-1) with precedence constraints," European Journal of Operational Research, Elsevier, vol. 271(3), pages 882-895.
  43. Bentaha, Mohand Lounes & Battaïa, Olga & Dolgui, Alexandre & Hu, S. Jack, 2015. "Second order conic approximation for disassembly line design with joint probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 247(3), pages 957-967.
  44. Chica, Manuel & Cordón, Óscar & Damas, Sergio & Bautista, Joaquín, 2013. "A robustness information and visualization model for time and space assembly line balancing under uncertain demand," International Journal of Production Economics, Elsevier, vol. 145(2), pages 761-772.
  45. Scholl, Armin & Becker, Christian, 2006. "State-of-the-art exact and heuristic solution procedures for simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 666-693, February.
  46. Michels, Adalberto Sato & Lopes, Thiago Cantos & Magatão, Leandro, 2020. "An exact method with decomposition techniques and combinatorial Benders’ cuts for the type-2 multi-manned assembly line balancing problem," Operations Research Perspectives, Elsevier, vol. 7(C).
  47. Ece Sancı & Meral Azizoğlu, 2017. "Rebalancing the assembly lines: exact solution approaches," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 5991-6010, October.
  48. Scholl, Armin & Klein, Robert, 1999. "Balancing assembly lines effectively - A computational comparison," European Journal of Operational Research, Elsevier, vol. 114(1), pages 50-58, April.
  49. Patrick McMullen & Gregory Frazier, 1999. "Using Simulation and Data Envelopment Analysis to Compare Assembly Line Balancing Solutions," Journal of Productivity Analysis, Springer, vol. 11(2), pages 149-168, April.
  50. Santiago Valdés Ravelo, 2022. "Approximation algorithms for simple assembly line balancing problems," Journal of Combinatorial Optimization, Springer, vol. 43(2), pages 432-443, March.
  51. Guschinskaya, O. & Dolgui, A. & Guschinsky, N. & Levin, G., 2008. "A heuristic multi-start decomposition approach for optimal design of serial machining lines," European Journal of Operational Research, Elsevier, vol. 189(3), pages 902-913, September.
  52. Sprecher, Arno, 2000. "SALBLIB: Challenging instances for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 526, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  53. Mauro Dell'Amico & José Carlos Díaz Díaz & Manuel Iori, 2012. "The Bin Packing Problem with Precedence Constraints," Operations Research, INFORMS, vol. 60(6), pages 1491-1504, December.
  54. Amen, Matthias, 2006. "Cost-oriented assembly line balancing: Model formulations, solution difficulty, upper and lower bounds," European Journal of Operational Research, Elsevier, vol. 168(3), pages 747-770, February.
  55. Sotskov, Yuri N. & Dolgui, Alexandre & Portmann, Marie-Claude, 2006. "Stability analysis of an optimal balance for an assembly line with fixed cycle time," European Journal of Operational Research, Elsevier, vol. 168(3), pages 783-797, February.
  56. Guschinskaya, Olga & Dolgui, Alexandre, 2009. "Comparison of exact and heuristic methods for a transfer line balancing problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 276-286, August.
  57. Sprecher, Arno, 1997. "A competitive exact algorithm for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 449, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  58. Borba, Leonardo & Ritt, Marcus & Miralles, Cristóbal, 2018. "Exact and heuristic methods for solving the Robotic Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 270(1), pages 146-156.
  59. Parames Chutima, 2022. "A comprehensive review of robotic assembly line balancing problem," Journal of Intelligent Manufacturing, Springer, vol. 33(1), pages 1-34, January.
  60. Sternatz, Johannes, 2015. "The joint line balancing and material supply problem," International Journal of Production Economics, Elsevier, vol. 159(C), pages 304-318.
  61. Otto, Alena & Scholl, Armin, 2011. "Incorporating ergonomic risks into assembly line balancing," European Journal of Operational Research, Elsevier, vol. 212(2), pages 277-286, July.
  62. Klein, Robert & Scholl, Armin, 1996. "Maximizing the production rate in simple assembly line balancing -- A branch and bound procedure," European Journal of Operational Research, Elsevier, vol. 91(2), pages 367-385, June.
  63. Lee, Hyoung-Ro & Gemmill, Douglas D., 2001. "Improved methods of assembly sequence determination for automatic assembly systems," European Journal of Operational Research, Elsevier, vol. 131(3), pages 611-621, June.
  64. Erel, Erdal & Gokcen, Hadi, 1999. "Shortest-route formulation of mixed-model assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 194-204, July.
  65. Christoph Müller & Martin Grunewald & Thomas S. Spengler, 2017. "Redundant configuration of automated flow lines based on “Industry 4.0”-technologies," Journal of Business Economics, Springer, vol. 87(7), pages 877-898, October.
  66. Gokcen, Hadi & Erel, Erdal, 1997. "A goal programming approach to mixed-model assembly line balancing problem," International Journal of Production Economics, Elsevier, vol. 48(2), pages 177-185, January.
  67. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2009. "Sequencing mixed-model assembly lines: Survey, classification and model critique," European Journal of Operational Research, Elsevier, vol. 192(2), pages 349-373, January.
  68. Chiang, Wen-Chyuan & Urban, Timothy L., 2006. "The stochastic U-line balancing problem: A heuristic procedure," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1767-1781, December.
  69. Boysen, Nils & Fliedner, Malte, 2008. "A versatile algorithm for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 39-56, January.
  70. Calleja, Gema & Corominas, Albert & García-Villoria, Alberto & Pastor, Rafael, 2016. "Hybrid metaheuristics for the Accessibility Windows Assembly Line Balancing Problem Level 2 (AWALBP-L2)," European Journal of Operational Research, Elsevier, vol. 250(3), pages 760-772.
  71. Rasul Esmaeilbeigi & Bahman Naderi & Parisa Charkhgard, 2016. "New formulations for the setup assembly line balancing and scheduling problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 493-518, March.
  72. Heike, G. & Ramulu, M. & Sorenson, E. & Shanahan, P. & Moinzadeh, K., 2001. "Mixed model assembly alternatives for low-volume manufacturing: The case of the aerospace industry," International Journal of Production Economics, Elsevier, vol. 72(2), pages 103-120, July.
  73. Miralles, Cristobal & Garcia-Sabater, Jose Pedro & Andres, Carlos & Cardos, Manuel, 2007. "Advantages of assembly lines in Sheltered Work Centres for Disabled. A case study," International Journal of Production Economics, Elsevier, vol. 110(1-2), pages 187-197, October.
  74. Araújo, Felipe F.B. & Costa, Alysson M. & Miralles, Cristóbal, 2012. "Two extensions for the ALWABP: Parallel stations and collaborative approach," International Journal of Production Economics, Elsevier, vol. 140(1), pages 483-495.
  75. Nearchou, Andreas C., 2011. "Maximizing production rate and workload smoothing in assembly lines using particle swarm optimization," International Journal of Production Economics, Elsevier, vol. 129(2), pages 242-250, February.
  76. Jérémie Gallien & Serguei Netessine & Maher Lahmar & Hakan Ergan & Sergei V. Savin & Michael J. Fry, 2001. "The MSOM Society Student Paper Competition: Extended Abstracts of 2000 Winners," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 1-1.
  77. Karabati, Selcuk & Sayin, Serpil, 2003. "Assembly line balancing in a mixed-model sequencing environment with synchronous transfers," European Journal of Operational Research, Elsevier, vol. 149(2), pages 417-429, September.
  78. Can B. Kalayci & Olcay Polat & Surendra M. Gupta, 2016. "A hybrid genetic algorithm for sequence-dependent disassembly line balancing problem," Annals of Operations Research, Springer, vol. 242(2), pages 321-354, July.
  79. A Lim & Z Xu, 2009. "Searching optimal resequencing and feature assignment on an automated assembly line," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(3), pages 361-371, March.
  80. Cohen, Yuval & Vitner, Gad & Sarin, Subhash C., 2006. "Optimal allocation of work in assembly lines for lots with homogenous learning," European Journal of Operational Research, Elsevier, vol. 168(3), pages 922-931, February.
  81. Urban, Timothy L. & Chiang, Wen-Chyuan, 2006. "An optimal piecewise-linear program for the U-line balancing problem with stochastic task times," European Journal of Operational Research, Elsevier, vol. 168(3), pages 771-782, February.
  82. Kucukkoc, Ibrahim & Li, Zixiang & Karaoglan, Aslan D. & Zhang, David Z., 2018. "Balancing of mixed-model two-sided assembly lines with underground workstations: A mathematical model and ant colony optimization algorithm," International Journal of Production Economics, Elsevier, vol. 205(C), pages 228-243.
  83. Sternatz, Johannes, 2014. "Enhanced multi-Hoffmann heuristic for efficiently solving real-world assembly line balancing problems in automotive industry," European Journal of Operational Research, Elsevier, vol. 235(3), pages 740-754.
  84. Ashish Yadav & Sunil Agrawal, 2022. "Mathematical model for robotic two-sided assembly line balancing problem with zoning constraints," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 395-408, February.
  85. Bautista, Joaquín & Pereira, Jordi, 2011. "Procedures for the Time and Space constrained Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 212(3), pages 473-481, August.
  86. Gokcen, Hadi & Agpak, Kursad & Benzer, Recep, 2006. "Balancing of parallel assembly lines," International Journal of Production Economics, Elsevier, vol. 103(2), pages 600-609, October.
  87. Ashish Yadav & Pawan Verma & Sunil Agrawal, 2020. "Mixed model two sided assembly line balancing problem: an exact solution approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(2), pages 335-348, July.
  88. Hop, Nguyen Van, 2006. "A heuristic solution for fuzzy mixed-model line balancing problem," European Journal of Operational Research, Elsevier, vol. 168(3), pages 798-810, February.
  89. Gamberini, Rita & Grassi, Andrea & Rimini, Bianca, 2006. "A new multi-objective heuristic algorithm for solving the stochastic assembly line re-balancing problem," International Journal of Production Economics, Elsevier, vol. 102(2), pages 226-243, August.
  90. Peeters, Marc & Degraeve, Zeger, 2006. "An linear programming based lower bound for the simple assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 168(3), pages 716-731, February.
  91. Costa, Alysson M. & Miralles, Cristóbal, 2009. "Job rotation in assembly lines employing disabled workers," International Journal of Production Economics, Elsevier, vol. 120(2), pages 625-632, August.
  92. Eduardo Álvarez-Miranda & Jordi Pereira & Harold Torrez-Meruvia & Mariona Vilà, 2021. "A Hybrid Genetic Algorithm for the Simple Assembly Line Balancing Problem with a Fixed Number of Workstations," Mathematics, MDPI, vol. 9(17), pages 1-19, September.
  93. Saeed Yaghoubi, 2015. "Due-date assignment for multi-server multi-stage assembly systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1246-1256, May.
  94. Otto, Alena & Otto, Christian & Scholl, Armin, 2013. "Systematic data generation and test design for solution algorithms on the example of SALBPGen for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 228(1), pages 33-45.
  95. Lai, Tsung-Chyan & Sotskov, Yuri N. & Dolgui, Alexandre & Zatsiupa, Aksana, 2016. "Stability radii of optimal assembly line balances with a fixed workstation set," International Journal of Production Economics, Elsevier, vol. 182(C), pages 356-371.
  96. Bautista, Joaquin & Pereira, Jordi, 2007. "Ant algorithms for a time and space constrained assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 2016-2032, March.
  97. Dolgui, A. & Ihnatsenka, I., 2009. "Branch and bound algorithm for a transfer line design problem: Stations with sequentially activated multi-spindle heads," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1119-1132, September.
  98. Morrison, David R. & Sewell, Edward C. & Jacobson, Sheldon H., 2014. "An application of the branch, bound, and remember algorithm to a new simple assembly line balancing dataset," European Journal of Operational Research, Elsevier, vol. 236(2), pages 403-409.
  99. Michels, Adalberto Sato & Lopes, Thiago Cantos & Sikora, Celso Gustavo Stall & Magatão, Leandro, 2019. "A Benders’ decomposition algorithm with combinatorial cuts for the multi-manned assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 278(3), pages 796-808.
  100. Bartholdi III, John J. & Eisenstein, Donald D. & Lim, Yun Fong, 2006. "Bucket brigades on in-tree assembly networks," European Journal of Operational Research, Elsevier, vol. 168(3), pages 870-879, February.
  101. Sana Bouajaja & Najoua Dridi, 2017. "A survey on human resource allocation problem and its applications," Operational Research, Springer, vol. 17(2), pages 339-369, July.
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