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A Due-Window Determination In Minmax Scheduling Problems

2001· article· en· W2397645628 on OpenAlexvenueno aff
Gur Mosheiov

Bibliographic record

VenueINFOR Information Systems and Operational Research · 2001
Typearticle
Languageen
FieldEngineering
TopicScheduling and Optimization Algorithms
Canadian institutionsnot available
Fundersnot available
KeywordsTardinessMathematical optimizationMinimaxScheduling (production processes)Computer scienceUpper and lower boundsInterval (graph theory)Due dateScheduleSingle-machine schedulingHeuristicMathematicsJob shop schedulingAlgorithmCombinatorics

Abstract

fetched live from OpenAlex

In several recent scheduling studies the notion of due-date is generalized: it is assumed that jobs completed within a certain time interval (rather than at a time point) are considered as being on time, whereas jobs completed outside this interval are penalized. We study a scheduling problem on parallel identical machines, in which the schedule as well as the common due-window are to be determined. The relevant cost components are: maximum earliness, maximum tardiness, due-window starting time and due-window length. The objective is of a minmax type, i.e. we look for the schedule and due-window with minimum cost of the worst scheduled job, with respect to all cost components. We solve the problem to optimality on a single machine, and we introduce an efficient (and asymptotically optimal) heuristic algorithm and a simple lower bound for the general multi-machine case. An extension to non-linear cost functions as well as the special case of unit processing times are also studied. We conclude with an extensive numerical study which indicates that both the heuristic and the lower bound produce very close-to-optimal results under various job and machine environments.

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)0.005
metaresearch head score (Gemma)0.014
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.005
Threshold uncertainty score0.027

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0050.014
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0010.002
Science and technology studies0.0010.001
Scholarly communication0.0030.005
Open science0.0020.002
Research integrity0.0010.003
Insufficient payload (model declined to judge)0.0040.001

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 head0.042
GPT teacher head0.306
Teacher spread0.265 · 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 designTheoretical or conceptual
Domainnot available
GenreEmpirical

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

Citations17
Published2001
Admission routes1
Has abstractyes

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