Nonconvex piecewise linear knapsack problems
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- Christensen, Tue R.L. & Labbé, Martine, 2015. "A branch-cut-and-price algorithm for the piecewise linear transportation problem," European Journal of Operational Research, Elsevier, vol. 245(3), pages 645-655.
- Borodin, Valeria & Dolgui, Alexandre & Hnaien, Faicel & Labadie, Nacima, 2016. "Component replenishment planning for a single-level assembly system under random lead times: A chance constrained programming approach," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 79-86.
- Hu, Qian & Lim, Andrew & Zhu, Wenbin, 2015. "The two-dimensional vector packing problem with piecewise linear cost function," Omega, Elsevier, vol. 50(C), pages 43-53.
- Mansouri, Bahareh & Hassini, Elkafi, 2019. "Optimal pricing in iterative flexible combinatorial procurement auctions," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1083-1097.
- 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.
- Tue R. L. Christensen & Kim Allan Andersen & Andreas Klose, 2013. "Solving the Single-Sink, Fixed-Charge, Multiple-Choice Transportation Problem by Dynamic Programming," Transportation Science, INFORMS, vol. 47(3), pages 428-438, August.
- Ram Kumar P N, 2013. "On Modeling The Step Fixed-Charge Transportation Problem," Working papers 134, Indian Institute of Management Kozhikode.
- 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.
- Ya Ping Fang & Kaiwen Meng & Xiao Qi Yang, 2012. "Piecewise Linear Multicriteria Programs: The Continuous Case and Its Discontinuous Generalization," Operations Research, INFORMS, vol. 60(2), pages 398-409, April.
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Keywords
Piecewise linear knapsack problem Precedence constrained knapsack problem Multiple choice knapsack problem Linear relaxation Dynamic programming Convex envelope Approximation algorithm Fully polynomial time approximation scheme;Statistics
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