Lower bounds on the performance of online algorithms for relaxed packing problems

@inproceedings{Balogh2022LowerBO,
  title={Lower bounds on the performance of online algorithms for relaxed packing problems},
  author={J{\'a}nos Balogh and Gyorgy D'osa and Leah Epstein and Lukasz Je.z},
  booktitle={IWOCA},
  year={2022}
}
We prove new lower bounds for suitable competitive ratio measures of two relaxed online packing problems: online removable multiple knapsack, and a recently introduced online minimum peak appointment scheduling problem. The high level objective in both problems is to pack arriving items of sizes at most 1 into bins of capacity 1 as efficiently as possible, but the exact formalizations differ. In the appointment scheduling problem, every item has to be assigned to a position, which can be seen… 

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