English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Bin packing problem examines the minimum number of identical bins needed topack a set of items of various weights. This problem arises in various areas ofthe artificial intelligence demanding derivation of the exact solutions in theshortest amount of time. Employing branch-and-bound and column generationtechniques to derive the exact solutions to this problem, usually requiresdesignation of problem-specific branching rules compatible with the nature ofthe polluted pricing sub-problem of column generation. In this work, we presenta new approach to deal with the forbidden bins which handles two-dimensionalknapsack problems. Furthermore, a set of diving criteria are introduced whichemphasize the importance of the geometrical features of the bins. It is furthershown that efficiency of the column generation technique could significantlyget improved using an implicit sectional pricing scheme. The proposed algorithmoutperforms the current state-of-the-art algorithms in number of the benchmarkinstances solved in less than one minute.

A Geometrical Branch-and-Price (GEOM-BP) Algorithm for Big Bin Packing Problems