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Exact methods for the knapsack problem and its generalizations

Citations

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Cited by:

  1. Gasparini, Gaia & Brunelli, Matteo & Chiriac, Marius Dan, 2022. "Multi-period portfolio decision analysis: A case study in the infrastructure management sector," Operations Research Perspectives, Elsevier, vol. 9(C).
  2. Narciso, Marcelo G. & Lorena, Luiz Antonio N., 1999. "Lagrangean/surrogate relaxation for generalized assignment problems," European Journal of Operational Research, Elsevier, vol. 114(1), pages 165-177, April.
  3. Johnston, Robert E. & Khan, Lutfar R., 1995. "Bounds for nested knapsack problems," European Journal of Operational Research, Elsevier, vol. 81(1), pages 154-165, February.
  4. Ewa M. Bednarczuk & Janusz Miroforidis & Przemysław Pyzel, 2018. "A multi-criteria approach to approximate solution of multiple-choice knapsack problem," Computational Optimization and Applications, Springer, vol. 70(3), pages 889-910, July.
  5. Zhong, Tao & Young, Rhonda, 2010. "Multiple Choice Knapsack Problem: Example of planning choice in transportation," Evaluation and Program Planning, Elsevier, vol. 33(2), pages 128-137, May.
  6. Faramroze G. Engineer & George L. Nemhauser & Martin W. P. Savelsbergh & Jin-Hwa Song, 2012. "The Fixed-Charge Shortest-Path Problem," INFORMS Journal on Computing, INFORMS, vol. 24(4), pages 578-596, November.
  7. Kameshwaran, S. & Narahari, Y., 2009. "Nonconvex piecewise linear knapsack problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 56-68, January.
  8. Kameng Nip & Zhenbo Wang, 2019. "On the approximability of the two-phase knapsack problem," Journal of Combinatorial Optimization, Springer, vol. 38(4), pages 1155-1179, November.
  9. Xuan Vinh Doan & Karthik Natarajan, 2012. "On the Complexity of Nonoverlapping Multivariate Marginal Bounds for Probabilistic Combinatorial Optimization Problems," Operations Research, INFORMS, vol. 60(1), pages 138-149, February.
  10. Galvao, Roberto D. & Gonzalo Acosta Espejo, Luis & Boffey, Brian, 2000. "A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 124(2), pages 377-389, July.
  11. Pisinger, David, 1995. "A minimal algorithm for the multiple-choice knapsack problem," European Journal of Operational Research, Elsevier, vol. 83(2), pages 394-410, June.
  12. Wishon, Christopher & Villalobos, J. Rene, 2016. "Robust efficiency measures for linear knapsack problem variants," European Journal of Operational Research, Elsevier, vol. 254(2), pages 398-409.
  13. Walter, Rico & Boysen, Nils & Scholl, Armin, 2013. "The discrete forward–reserve problem – Allocating space, selecting products, and area sizing in forward order picking," European Journal of Operational Research, Elsevier, vol. 229(3), pages 585-594.
  14. Zhu, Xiaoyan & Wilhelm, Wilbert E., 2007. "Three-stage approaches for optimizing some variations of the resource constrained shortest-path sub-problem in a column generation context," European Journal of Operational Research, Elsevier, vol. 183(2), pages 564-577, December.
  15. 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.
  16. Faramroze G. Engineer & Kevin C. Furman & George L. Nemhauser & Martin W. P. Savelsbergh & Jin-Hwa Song, 2012. "A Branch-Price-and-Cut Algorithm for Single-Product Maritime Inventory Routing," Operations Research, INFORMS, vol. 60(1), pages 106-122, February.
  17. Tibor Szkaliczki, 2025. "Solution Methods for the Multiple-Choice Knapsack Problem and Their Applications," Mathematics, MDPI, vol. 13(7), pages 1-35, March.
  18. Dragan Djurdjević & Nenad Bjelić & Dražen Popović & Milan Andrejić, 2022. "A Combined Dynamic Programming and Simulation Approach to the Sizing of the Low-Level Order-Picking Area," Mathematics, MDPI, vol. 10(20), pages 1-23, October.
  19. Maxime C. Cohen & Swati Gupta & Jeremy J. Kalas & Georgia Perakis, 2020. "An Efficient Algorithm for Dynamic Pricing Using a Graphical Representation," Production and Operations Management, Production and Operations Management Society, vol. 29(10), pages 2326-2349, October.
  20. Lorena, Luiz Antonio N. & Narciso, Marcelo G., 1996. "Relaxation heuristics for a generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 91(3), pages 600-610, June.
  21. Yurun Ge & Lucas Bottcher & Tom Chou & Maria R. D'Orsogna, 2024. "A knapsack for collective decision-making," Papers 2409.13236, arXiv.org.
  22. Brad D. Woods & Abraham P. Punnen, 2020. "A class of exponential neighbourhoods for the quadratic travelling salesman problem," Journal of Combinatorial Optimization, Springer, vol. 40(2), pages 303-332, August.
  23. Dickinson, John K. & Knopf, George K., 2000. "A moment based metric for 2-D and 3-D packing," European Journal of Operational Research, Elsevier, vol. 122(1), pages 133-144, April.
  24. Oded Berman & Zvi Ganz & Janet M. Wagner, 1994. "A stochastic optimization model for planning capacity expansion in a service industry under uncertain demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(4), pages 545-564, June.
  25. Pisinger, David, 1995. "An expanding-core algorithm for the exact 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 87(1), pages 175-187, November.
  26. Brad D. Woods & Abraham P. Punnen, 0. "A class of exponential neighbourhoods for the quadratic travelling salesman problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-30.
  27. Lian, Deheng & Mo, Pengli & D’Ariano, Andrea & Gao, Ziyou & Yang, Lixing, 2024. "Energy-saving time allocation strategy with uncertain dwell times in urban rail transit: Two-stage stochastic model and nested dynamic programming framework," European Journal of Operational Research, Elsevier, vol. 317(1), pages 219-242.
  28. Drexl, Andreas & Jørnsten, Kurt, 2007. "Pricing the multiple-choice nested knapsack problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 626, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
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