Bin‐packing problem with concave costs of bin utilization

descriptionPublicationkeyboard_double_arrow_right Article 09 Mar 2006 English Publisher:WileyJournal:Naval Research Logistics (NRL), volume 53, pages 298-308 (issn: 0894-069X, eissn: 1520-6750,

Copyright policy )

Authors: Li, Chung-Lun; Chen, Zhi-Long;

doi: 10.1002/nav.20142

Bin‐packing problem with concave costs of bin utilization

- Summary
- Subjects
- Metrics

Abstract

AbstractWe consider a generalized one‐dimensional bin‐packing model where the cost of a bin is a nondecreasing concave function of the utilization of the bin. Four popular heuristics from the literature of the classical bin‐packing problem are studied: First Fit (FF), Best Fit (BF), First Fit Decreasing (FFD), and Best Fit Decreasing (BFD). We analyze their worst‐case performances when they are applied to our model. The absolute worst‐case performance ratio of FF and BF is shown to be exactly 2, and that of FFD and BFD is shown to be exactly 1.5. Computational experiments are also conducted to test the performance of these heuristics. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Related Organizations

University of Maryland, College Park
United States
Hong Kong Polytechnic University
China (People's Republic of)

Keywords

Combinatorial optimization, Discrete location and assignment, Applications of mathematical programming, bin packing, worst-case analysis, concavity, Approximation methods and heuristics in mathematical programming

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	29
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average