Average-case analysis of the bin-packing problem with general cost structures

Average-case analysis of the bin-packing problem with general cost structures

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Article ID: iaor19981415
Country: United States
Volume: 44
Issue: 7
Start Page Number: 673
End Page Number: 686
Publication Date: Oct 1997
Journal: Naval Research Logistics
Authors: , ,
Keywords: bin packing
Abstract:

We consider a version of the famous bin-packing problem where the cost of a bin is a concave function of the number of items in the bin. We analyze the problem from an average-case point of view and develop techniques to determine the asymptotic optimal solution value for a variety of functions. We also describe heuristic techniques that are asymptotically optimal.

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