Abstract
We study the average case performance of the Best Fit algorithm for on-line bin packing under the distribution U(j, k}, in which the item sizes are uniformly distributed in the discrete range (1/k, 2/k,⋯, j/k}. Our main result is that, in the case j = k - 2, the expected waste for an infinite stream, of items remains bounded. This settles an open problem posed recently by Coffman et al [4]. It is also the first result which involves a detailed analysis of the infinite rnulti-dimensional Markov chain underlying the algorithm.
| Original language | English |
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| Title of host publication | Proceedings of the 7th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1996 |
| Publisher | Association for Computing Machinery |
| Pages | 351-358 |
| Number of pages | 8 |
| ISBN (Electronic) | 0898713668 |
| State | Published - 28 Jan 1996 |
| Externally published | Yes |
| Event | 7th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1996 - Atlanta, United States Duration: 28 Jan 1996 → 30 Jan 1996 |
Publication series
| Name | Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms |
|---|---|
| Volume | Part F129447 |
Conference
| Conference | 7th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1996 |
|---|---|
| Country/Territory | United States |
| City | Atlanta |
| Period | 28/01/96 → 30/01/96 |
Bibliographical note
Funding Information:t CNRS, Ecole Normale Superieure de Lyon, France. E-mail: kenyonQlip.ens-lyon.fr. Work done while this author was visiting UC Berkeley, partially supported by a NATO Fellowship. SFaculty of Computer Science, Technion, Haifa 32000, Israel. E-mail: rabaniQcs . technion .ac. il. Work done while this author was a postdoctoral fellow in the Department of Computer Science, University of Toronto. §C!omputer Science Division, University of California, Berkeley CA 94720-1776. Email: sinclairQcs.berkeley.edu. Supported by NSF grant CCR-9505448 and a UC Berkeley Faculty Research Grant.