Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

Approaches to Bin Packing with Clique-Graph Conflicts

Bill McCloskey and Ajeet Shankar

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-05-1378
April 2005

http://www.eecs.berkeley.edu/Pubs/TechRpts/2005/CSD-05-1378.pdf

The problem of bin packing with arbitrary conflicts was introduced in 1995. In this paper, we consider a restricted problem, bin packing with clique-graph conflicts. We prove bounds for several approximation algorithms, and show that certain on- and off-line algorithms are equivalent. Finally, we present an optimal polynomial-time algorithm for the case of constant item sizes, and analyze its performance in the more general case of bounded item sizes.


BibTeX citation:

@techreport{McCloskey:CSD-05-1378,
    Author = {McCloskey, Bill and Shankar, Ajeet},
    Title = {Approaches to Bin Packing with Clique-Graph Conflicts},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {2005},
    Month = {Apr},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2005/5649.html},
    Number = {UCB/CSD-05-1378},
    Abstract = {The problem of bin packing with arbitrary conflicts was introduced in 1995. In this paper, we consider a restricted problem, bin packing with clique-graph conflicts. We prove bounds for several approximation algorithms, and show that certain on- and off-line algorithms are equivalent. Finally, we present an optimal polynomial-time algorithm for the case of constant item sizes, and analyze its performance in the more general case of bounded item sizes.}
}

EndNote citation:

%0 Report
%A McCloskey, Bill
%A Shankar, Ajeet
%T Approaches to Bin Packing with Clique-Graph Conflicts
%I EECS Department, University of California, Berkeley
%D 2005
%@ UCB/CSD-05-1378
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/2005/5649.html
%F McCloskey:CSD-05-1378