Bin packing problem with scenarios
Attila Bódis () and
János Balogh ()
Additional contact information
Attila Bódis: University of Szeged
János Balogh: University of Szeged
Central European Journal of Operations Research, 2019, vol. 27, issue 2, 377-395
Abstract Scheduling over scenarios is one of the latest approaches in modelling scheduling problems including uncertainty. However, to the best of our knowledge, scenarios have never been applied to the bin packing problem, so here we introduce the bin packing problem with scenarios. In this model, we have a list of items with sizes between 0 and 1, and each item is assigned to one or more scenarios. In reality, the items of only one scenario will occur, but this chosen scenario is unknown at the time of packing, so the algorithms have to examine all scenarios. This means that the items have to be packed into bins such that for any scenario, the total size of the items in this scenario is at most 1 in each bin. The objective of the standard bin packing problem is to minimize the number of bins. Here, we introduce some extensions of the objective function to the scenario based model, and we present our competitive analysis of some online bin packing algorithms adapted to scenarios.
Keywords: Bin packing problem; Scenarios; Online algorithms; Competitive analysis; 68Q25; 68W25; 68W40 (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
http://link.springer.com/10.1007/s10100-018-0574-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:spr:cejnor:v:27:y:2019:i:2:d:10.1007_s10100-018-0574-3
Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10100
Access Statistics for this article
Central European Journal of Operations Research is currently edited by Ulrike Leopold-Wildburger
More articles in Central European Journal of Operations Research from Springer, Slovak Society for Operations Research, Hungarian Operational Research Society, Czech Society for Operations Research, Österr. Gesellschaft für Operations Research (ÖGOR), Slovenian Society Informatika - Section for Operational Research, Croatian Operational Research Society
Bibliographic data for series maintained by Sonal Shukla ().