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The quadratic three-dimensional assignment problem: Exact and approximate solution methods

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  • Hahn, Peter M.
  • Kim, Bum-Jin
  • Stutzle, Thomas
  • Kanthak, Sebastian
  • Hightower, William L.
  • Samra, Harvind
  • Ding, Zhi
  • Guignard, Monique

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  • 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.
    • Handle: RePEc:eee:ejores:v:184:y:2008:i:2:p:416-428
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Burkard, R. E. & Rendl, F., 1984. "A thermodynamically motivated simulation procedure for combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 17(2), pages 169-174, August.
    4. Warren P. Adams & Hanif D. Sherali, 1986. "A Tight Linearization and an Algorithm for Zero-One Quadratic Programming Problems," Management Science, INFORMS, vol. 32(10), pages 1274-1290, October.
    5. 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.
    6. Burkard, R. E. & Karisch, S. & Rendl, F., 1991. "QAPLIB-A quadratic assignment problem library," European Journal of Operational Research, Elsevier, vol. 55(1), pages 115-119, November.
    7. Eugene L. Lawler, 1963. "The Quadratic Assignment Problem," Management Science, INFORMS, vol. 9(4), pages 586-599, July.
    8. Connolly, David T., 1990. "An improved annealing scheme for the QAP," European Journal of Operational Research, Elsevier, vol. 46(1), pages 93-100, May.
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    Cited by:

    1. W. Hager, 2009. "COAP 2008 best paper award: Paper of P.M. Hahn, B.-J. Kim, M. Guignard, J.M. Smith and Y.-R. Zhu," Computational Optimization and Applications, Springer, vol. 44(3), pages 525-530, December.
    2. Gelareh, Shahin & Glover, Fred & Guemri, Oualid & Hanafi, Saïd & Nduwayo, Placide & Todosijević, Raca, 2020. "A comparative study of formulations for a cross-dock door assignment problem," Omega, Elsevier, vol. 91(C).
    3. Papahristodoulou, Christos, 2009. "The optimal layout of football players: A case study for AC Milan," MPRA Paper 20102, University Library of Munich, Germany.
    4. 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.
    5. Peter Hahn & J. MacGregor Smith & Yi-Rong Zhu, 2010. "The Multi-Story Space Assignment Problem," Annals of Operations Research, Springer, vol. 179(1), pages 77-103, September.
    6. Guemri, Oualid & Nduwayo, Placide & Todosijević, Raca & Hanafi, Saïd & Glover, Fred, 2019. "Probabilistic Tabu Search for the Cross-Docking Assignment Problem," European Journal of Operational Research, Elsevier, vol. 277(3), pages 875-885.
    7. Kim, Bum-Jin & Hightower, William L. & Hahn, Peter M. & Zhu, Yi-Rong & Sun, Lu, 2010. "Lower bounds for the axial three-index assignment problem," European Journal of Operational Research, Elsevier, vol. 202(3), pages 654-668, May.

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