Abstract
We investigate and analyze the FFH algorithm proposed by Kinnersley and Langston [5]. We prove that the tight worst-case performance bound of FFH algorithm is 1.7, thereby answering a question in [5]. The case that bin sizes can be chosen is also considered.
Zusammenfassung
Wir analysieren den von Kinnersley und Langston [5] vorgeschlagenen FFH-Algorithmus. Wir zeigen, daß der FFH Algorithmus eine scharfe Worst-Case Schranke von 1.7 hat und beantworten damit eine Frage in [5]. Variable Bingrößen werden ebenfalls betrachtet.
References
Friesen, D. K., Langston, M. A.: Variable sized bin packing. SIAM J. Comput.15, 222–229 (1986).
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Johnson, D. S., Demers, A., Ullman, J. D., Garey, M. R., Graham, R. L.: Worst-case performance bounds for simple one-dimensional packing algorithms. SIAM J. Comput.3, 299–325 (1974).
Kinnersley, N. G., Langston, M. A.: Online variable-sized binpacking. Discrete Appl. Math.22, 143–148 (1988/89).
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This work is supported by the National Natural Science Foundation of China, Project 19371084.
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Zhang, G. Worst-Case analysis of the FFH algorithm for online variable-sized bin packing. Computing 56, 165–172 (1996). https://doi.org/10.1007/BF02309343
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DOI: https://doi.org/10.1007/BF02309343