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The nonlinear knapsack problem - algorithms and applications

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  • Bretthauer, Kurt M.
  • Shetty, Bala

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  • Bretthauer, Kurt M. & Shetty, Bala, 2002. "The nonlinear knapsack problem - algorithms and applications," European Journal of Operational Research, Elsevier, vol. 138(3), pages 459-472, May.
  • Handle: RePEc:eee:ejores:v:138:y:2002:i:3:p:459-472
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    References listed on IDEAS

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    1. Paul H. Zipkin, 1980. "Simple Ranking Methods for Allocation of One Resource," Management Science, INFORMS, vol. 26(1), pages 34-43, January.
    2. Bretthauer, Kurt M. & Ross, Anthony & Shetty, Bala, 1999. "Nonlinear integer programming for optimal allocation in stratified sampling," European Journal of Operational Research, Elsevier, vol. 116(3), pages 667-680, August.
    3. Michelon, Philippe & Veilleux, Louis, 1996. "Lagrangean methods for the 0-1 Quadratic Knapsack Problem," European Journal of Operational Research, Elsevier, vol. 92(2), pages 326-341, July.
    4. Billionnet, Alain & Calmels, Frederic, 1996. "Linear programming for the 0-1 quadratic knapsack problem," European Journal of Operational Research, Elsevier, vol. 92(2), pages 310-325, July.
    5. Gabriel R. Bitran & Arnoldo C. Hax, 1981. "Disaggregation and Resource Allocation Using Convex Knapsack Problems with Bounded Variables," Management Science, INFORMS, vol. 27(4), pages 431-441, April.
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    Cited by:

    1. Edwin Romeijn, H. & Zeynep Sargut, F., 2011. "The stochastic transportation problem with single sourcing," European Journal of Operational Research, Elsevier, vol. 214(2), pages 262-272, October.
    2. Sathaye, Nakul & Madanat, Samer, 2011. "A bottom-up solution for the multi-facility optimal pavement resurfacing problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1004-1017, August.
    3. Aktas, Emel & Ulengin, Fusun & Onsel Sahin, Sule, 2007. "A decision support system to improve the efficiency of resource allocation in healthcare management," Socio-Economic Planning Sciences, Elsevier, vol. 41(2), pages 130-146, June.
    4. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
    5. Polyakovskiy, S. & Neumann, F., 2017. "The Packing While Traveling Problem," European Journal of Operational Research, Elsevier, vol. 258(2), pages 424-439.
    6. DePaolo, Concetta A. & Rader, David Jr., 2007. "A heuristic algorithm for a chance constrained stochastic program," European Journal of Operational Research, Elsevier, vol. 176(1), pages 27-45, January.
    7. repec:spr:joptap:v:146:y:2010:i:2:d:10.1007_s10957-010-9653-x is not listed on IDEAS
    8. Isada, Yuriko & James, Ross J. W. & Nakagawa, Yuji, 2005. "An approach for solving nonlinear multi-objective separable discrete optimization problem with one constraint," European Journal of Operational Research, Elsevier, vol. 162(2), pages 503-513, April.
    9. Srivastava, Vaibhav & Bullo, Francesco, 2014. "Knapsack problems with sigmoid utilities: Approximation algorithms via hybrid optimization," European Journal of Operational Research, Elsevier, vol. 236(2), pages 488-498.
    10. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location model with concave demand," European Journal of Operational Research, Elsevier, vol. 181(2), pages 598-619, September.
    11. Kameshwaran, S. & Narahari, Y., 2009. "Nonconvex piecewise linear knapsack problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 56-68, January.
    12. Vahideh Sadat Abedi, 2017. "Allocation of advertising budget between multiple channels to support sales in multiple markets," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(2), pages 134-146, February.
    13. repec:eee:reensy:v:145:y:2016:i:c:p:221-230 is not listed on IDEAS
    14. Wang, Kai & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2017. "Cruise service planning considering berth availability and decreasing marginal profit," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 1-18.
    15. Jayaswal, Sachin, 2016. "Nonlinear 0-1 knapsack problem with capacity selection," IIMA Working Papers WP2016-03-10, Indian Institute of Management Ahmedabad, Research and Publication Department.
    16. Zhang, Jianzhong & Xu, Chengxian, 2010. "Inverse optimization for linearly constrained convex separable programming problems," European Journal of Operational Research, Elsevier, vol. 200(3), pages 671-679, February.
    17. AgralI, Semra & Geunes, Joseph, 2009. "Solving knapsack problems with S-curve return functions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 605-615, March.
    18. JANSSENS, Jochen & TALARICO, Luca & SÖRENSEN, Kenneth, 2014. "A hybridised taboo search heuristic to increase security in a utility network," Working Papers 2014023, University of Antwerp, Faculty of Applied Economics.
    19. SYAFITRI, Utami & SARTONO, Bagus & GOOS, Peter, 2015. "D- and I-optimal design of mixture experiments in the presence of ingredient availability constraints," Working Papers 2015003, University of Antwerp, Faculty of Applied Economics.
    20. Dori Hulst & Dick Hertog & Wim Nuijten, 2017. "Robust shift generation in workforce planning," Computational Management Science, Springer, vol. 14(1), pages 115-134, January.
    21. Zhang, Bin & Hua, Zhongsheng, 2008. "A unified method for a class of convex separable nonlinear knapsack problems," European Journal of Operational Research, Elsevier, vol. 191(1), pages 1-6, November.
    22. repec:pal:jorsoc:v:59:y:2008:i:10:d:10.1057_palgrave.jors.2602463 is not listed on IDEAS
    23. Patriksson, Michael & Strömberg, Christoffer, 2015. "Algorithms for the continuous nonlinear resource allocation problem—New implementations and numerical studies," European Journal of Operational Research, Elsevier, vol. 243(3), pages 703-722.
    24. Zoroa, N. & Zoroa, P. & Fernández-Sáez, M.J., 2009. "Weighted search games," European Journal of Operational Research, Elsevier, vol. 195(2), pages 394-411, June.
    25. Selçuk, B. & Özlük, Ö., 2013. "Optimal keyword bidding in search-based advertising with target exposure levels," European Journal of Operational Research, Elsevier, vol. 226(1), pages 163-172.

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