A PTAS for the chance-constrained knapsack problem with random item sizes

@article{Goyal2010APF,
  title={A PTAS for the chance-constrained knapsack problem with random item sizes},
  author={Vineet Goyal and R. Ravi},
  journal={Oper. Res. Lett.},
  year={2010},
  volume={38},
  pages={161-164}
}
We consider a stochastic knapsack problemwhere each item has a known profit but a random size that is normally distributed independent of other items. The goal is to select a profitmaximizing set of items such that the probability of the total size exceeding the knapsack bound is atmost a given threshold.Wepresent a Polynomial Time Approximation Scheme… CONTINUE READING