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Record W2119790020 · doi:10.3138/infor.45.3.123

A Survey of the Generalized Assignment Problem and Its Applications

2007· article· en· W2119790020 on OpenAlexvenueno aff
Temel Öncan

Bibliographic record

VenueINFOR Information Systems and Operational Research · 2007
Typearticle
Languageen
FieldEngineering
TopicAdvanced Manufacturing and Logistics Optimization
Canadian institutionsnot available
FundersNaif Arab University for Security Sciences
KeywordsKnapsack problemHeuristicGeneralized assignment problemMathematical optimizationMetaheuristicVariable neighborhood searchScheduling (production processes)Assignment problemComputer scienceFrequency assignmentSimple (philosophy)Operations researchMathematicsTelecommunications

Abstract

fetched live from OpenAlex

Given n items and m knapsacks, the Generalized Assignment Problem (GAP) is to find the optimum assignment of each item to exactly one knapsack, without exceeding the capacity of any knapsack. This problem can also be described as the optimal assignment of n jobs to m capacitated agents. During the last three decades, many papers have been published on the GAP. In this survey we mainly concentrate on its real-life applications in scheduling, timetabling, telecommunication, facility location, transportation, production planning, etc. We also mention some of the most recent solution approaches: from state-of-the-art metaheuristics to variable neighborhood search algorithms and from exact solution procedures to simple heuristic algorithms.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Review · Consensus signal: Review
Teacher disagreement score0.007
Threshold uncertainty score0.023

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.003
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0030.012
Science and technology studies0.0010.001
Scholarly communication0.0030.005
Open science0.0020.002
Research integrity0.0020.003
Insufficient payload (model declined to judge)0.0070.003

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.057
GPT teacher head0.325
Teacher spread0.268 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreReview

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations166
Published2007
Admission routes1
Has abstractyes

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