Vector bin packing with multiple-choice (extended abstract)

Boaz Patt-Shamir; Dror Rawitz

doi:10.1007/978-3-642-13731-0_24

Vector bin packing with multiple-choice (extended abstract)

Boaz Patt-Shamir, Dror Rawitz

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

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 and D-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 ln D times the optimum. For the running time to be polynomial we require D = O(1) and T = O(log n). 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 language	English
Title of host publication	Algorithm Theory - SWAT 2010 - 12th Scandinavian Symposium and Workshops on Algorithm Theory, Proceedings
Pages	248-259
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-642-13731-0_24
State	Published - 2010
Externally published	Yes
Event	12th Scandinavian Symposium and Workshops on Algorithm Theory, SWAT 2010 - Bergen, Norway Duration: 21 Jun 2010 → 23 Jun 2010

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	6139 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	12th Scandinavian Symposium and Workshops on Algorithm Theory, SWAT 2010
Country/Territory	Norway
City	Bergen
Period	21/06/10 → 23/06/10

Bibliographical note

Funding Information:
The work of Boaz Patt-Shamir was supported in part by the Israel Science Foundation (grant 1372/09 ) and by Israel Ministry of Science and Technology .

Funding

The work of Boaz Patt-Shamir was supported in part by the Israel Science Foundation (grant 1372/09 ) and by Israel Ministry of Science and Technology .

Funders	Funder number
Israel Ministry of Science and Technology
Israel Science Foundation	1372/09

Access to Document

10.1007/978-3-642-13731-0_24

Cite this

Patt-Shamir, B., & Rawitz, D. (2010). Vector bin packing with multiple-choice (extended abstract). In Algorithm Theory - SWAT 2010 - 12th Scandinavian Symposium and Workshops on Algorithm Theory, Proceedings (pp. 248-259). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6139 LNCS). https://doi.org/10.1007/978-3-642-13731-0_24

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note = "Funding Information: The work of Boaz Patt-Shamir was supported in part by the Israel Science Foundation (grant 1372/09 ) and by Israel Ministry of Science and Technology . ; 12th Scandinavian Symposium and Workshops on Algorithm Theory, SWAT 2010 ; Conference date: 21-06-2010 Through 23-06-2010",

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Patt-Shamir, B & Rawitz, D 2010, Vector bin packing with multiple-choice (extended abstract). in Algorithm Theory - SWAT 2010 - 12th Scandinavian Symposium and Workshops on Algorithm Theory, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6139 LNCS, pp. 248-259, 12th Scandinavian Symposium and Workshops on Algorithm Theory, SWAT 2010, Bergen, Norway, 21/06/10. https://doi.org/10.1007/978-3-642-13731-0_24

Vector bin packing with multiple-choice (extended abstract). / Patt-Shamir, Boaz; Rawitz, Dror.
Algorithm Theory - SWAT 2010 - 12th Scandinavian Symposium and Workshops on Algorithm Theory, Proceedings. 2010. p. 248-259 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6139 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Patt-Shamir B, Rawitz D. Vector bin packing with multiple-choice (extended abstract). In Algorithm Theory - SWAT 2010 - 12th Scandinavian Symposium and Workshops on Algorithm Theory, Proceedings. 2010. p. 248-259. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-13731-0_24

Vector bin packing with multiple-choice (extended abstract)

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