Title
Approximation Algorithms for General Packing Problems with Modified Logarithmic Potential Function
Abstract
Abstract: In this paper we present an approximation algorithm based on a Lagrangiandecomposition via a logarithmic potential reduction to solve ageneral packing or min-max resource sharing problem with M nonnegativeconvex constraints on a convex set B. We generalize a method byGrigoriadis et al to the case with weak approximate block solvers (i.e.with only constant, logarithmic or even worse approximation ratios).We show that the algorithm needs at most O(M("calls to the block solver, a bound ...
Year
DOI
Venue
2002
10.1007/978-0-387-35608-2_22
IFIP TCS
Keywords
Field
DocType
general packing problems,modified logarithmic potential function,approximation algorithms,resource sharing,convex set
Approximation algorithm,Discrete mathematics,Combinatorics,Packing problems,Convex set,Regular polygon,Lagrangian decomposition,Solver,Logarithm,Mathematics
Conference
Volume
ISSN
ISBN
96
1571-5736
1-4020-7181-7
Citations 
PageRank 
References 
20
0.88
11
Authors
2
Name
Order
Citations
PageRank
Klaus Jansen178982.68
Hu Zhang21237.99