Approximation Schemes for Multiperiod Binary Knapsack Problems

@article{Gao2021ApproximationSF,
  title={Approximation Schemes for Multiperiod Binary Knapsack Problems},
  author={Zuguang Gao and J. Birge and Varun Gupta},
  journal={ArXiv},
  year={2021},
  volume={abs/2104.00034}
}
An instance of the multiperiod binary knapsack problem (MPBKP) is given by a horizon length T , a nondecreasing vector of knapsack sizes (c1, . . . , cT ) where ct denotes the cumulative size for periods 1, . . . , t, and a list of n items. Each item is a triple (r, q, d) where r denotes the reward or value of the item, q its size, and d denotes its time index (or, deadline). The goal is to choose, for each deadline t, which items to include to maximize the total reward, subject to the… Expand
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