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Record W4391655310 · doi:10.1080/01605682.2024.2312255

The boundary-to-boundary <i>p</i> -dispersion configuration problem with oval objects

2024· article· en· W4391655310 on OpenAlexaff
Ignacio Castillo, János D. Pintér, F. J. Kampas

Bibliographic record

VenueJournal of the Operational Research Society · 2024
Typearticle
Languageen
FieldBusiness, Management and Accounting
TopicFacility Location and Emergency Management
Canadian institutionsWilfrid Laurier University
Fundersnot available
KeywordsBoundary (topology)Regular polygonIntersection (aeronautics)Mathematical optimizationMathematicsDispersion (optics)Computer scienceGeometryMathematical analysisPhysicsGeographyOpticsCartography

Abstract

fetched live from OpenAlex

We study the problem of allocating “sizeable” (area-consuming) heterogeneous objects with varying features and characteristics in a given feasible region. The objects are modeled by general ovals. The feasible region could be convex (modelled here by regular polygons) or non-convex (modelled here by the intersection of general ovals). We introduce a continuous boundary-to-boundary oval p-dispersion problem. Our objective is to produce optimally dispersed configurations, by maximizing the minimal separation between the boundaries of the oval objects and the boundary of the feasible region.

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 distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.004
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesScience and technology studies, Scholarly communication
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.652
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0040.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0020.000
Scholarly communication0.0020.001
Open science0.0010.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0000.000

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 head0.037
GPT teacher head0.312
Teacher spread0.275 · 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 teacher head, not a consensus.

Study designNot applicable
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

Citations4
Published2024
Admission routes1
Has abstractyes

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