| M.B. Richey, Improved bounds for refined harmonic bin packing, unpublished, 1990. |
....al. proved that Best fit and First fit have performance ratio 1:7, while Next fit has performance ratio 2. The Harmonic algorithm is proved in [12] to have performance ratio 1:69 : and improved versions have slightly lower performance ratios; the current best performance ratio is 1:58 : [16]. The quest for better algorithms was somewhat quelched by Yao s lower bound: no deterministic on line algorithm can have performance ratio better than 1:5 [19] This lower bound was later improved up to 1:54 : in [13, 6, 18] and proved to hold even for randomized algorithms [1] The ....
M.B. Richey, Improved bounds for refined harmonic bin packing, unpublished, 1990.
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