Fast approximate PCPs for multidimensional bin-packing problems

Tugkan Batu, Ronitt Rubinfeld, Patrick White

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

16 Scopus citations

Abstract

We consider approximate PCPs for multidimensional bin-packing prob­lems. In particular, we show how a verifier can be quickly convinced that a set of multidimensional blocks can be packed into a small number of bins. The running time of the verifier is bounded by O(T(n)), where X(n) is the time required to test for heaviness. We give heaviness testers that can test heaviness of an ele­ment in the domain [1,…,n]d in time O((logn)d). We also also give approxi­mate PCPs with efficient verifiers for recursive bin packing and multidimensional routing.

Original languageEnglish
Title of host publicationRandomization, Approximation, and Combinatorial Optimization
Subtitle of host publicationAlgorithms and Techniques - 3rd International Workshop on Randomization and Approximation Techniques in Computer Science and 2nd International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, RANDOM-APPROX 1999, Proceedings
EditorsJose D. P. Rolim, Alistair Sinclair, Dorit Hochbaum, Klaus Jansen
PublisherSpringer Verlag
Pages245-256
Number of pages12
ISBN (Print)3540663290, 9783540663294
DOIs
StatePublished - 1999
Externally publishedYes
Event3rd International Workshop on Randomization and Approximation Techniques in Computer Science and 2nd International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, RANDOM-APPROX 1999 - Berkeley, United States
Duration: 8 Aug 199911 Aug 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1671
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference3rd International Workshop on Randomization and Approximation Techniques in Computer Science and 2nd International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, RANDOM-APPROX 1999
Country/TerritoryUnited States
CityBerkeley
Period8/08/9911/08/99

Funding

FundersFunder number
National Science FoundationCCR-9624552
Office of Naval ResearchN00014-97-1-0505
Alfred P. Sloan Foundation
Multidisciplinary University Research Initiative

    Fingerprint

    Dive into the research topics of 'Fast approximate PCPs for multidimensional bin-packing problems'. Together they form a unique fingerprint.

    Cite this