Vector bin packing with multiple-choice

Boaz Patt-Shamir, Dror Rawitz

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a variant of bin packing called multiple-choice vector bin packing. In this problem, we are given a set of n items, where each item can be selected in one of several D-dimensional incarnations. We are also given T bin types, each with its own cost andD-dimensional size. Our goal is to pack the items in a set of bins of minimum overall cost. The problem is motivated by scheduling in networks with guaranteed quality of service (QoS), but due to its general formulation it has many other applications as well. We present an approximation algorithm that is guaranteed to produce a solution whose cost is about lnD times the optimum. For the running time to be polynomial we require D=O(1) and T=O(logn). This extends previous results for vector bin packing, in which each item has a single incarnation and there is only one bin type. To obtain our result we also present a PTAS for the multiple-choice version of multidimensional knapsack, where we are given only one bin and the goal is to pack a maximum weight set of (incarnations of) items in that bin.

Original languageEnglish
Pages (from-to)1591-1600
Number of pages10
JournalDiscrete Applied Mathematics
Volume160
Issue number10-11
DOIs
StatePublished - Jul 2012

Keywords

  • Approximation algorithms
  • Multiple-choice multidimensional knapsack
  • Multiple-choice vector bin packing

Fingerprint

Dive into the research topics of 'Vector bin packing with multiple-choice'. Together they form a unique fingerprint.

Cite this