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Record W1623461119 · doi:10.5539/mas.v9n11p12

The Economic Efficiency of Homomorphic Model

2015· article· en· W1623461119 on OpenAlexvenueno aff
Mansoor Maitah, Tomáš Macák

Bibliographic record

VenueModern Applied Science · 2015
Typearticle
Languageen
FieldMathematics
TopicModeling, Simulation, and Optimization
Canadian institutionsnot available
Fundersnot available
KeywordsSimilarity (geometry)Computer scienceBernoulli's principleTOPSISProduct (mathematics)Dimension (graph theory)Mathematical economicsValue (mathematics)Class (philosophy)UniquenessIsomorphism (crystallography)Complement (music)Operations researchMathematicsArtificial intelligencePure mathematics

Abstract

fetched live from OpenAlex

This paper assesses the closeness of the degree of similarity between the behaviour of a model and the actual product according to technical and economic criteria. The methodology is illustrated on the example of a power boat and a sailing boat model. The first part deals with technical aspects, using the cybernetic theory of similarities – classification of the relationship between the model and the actual product (isomorphic or homomorphic). Since in this case the similarity was assessed in the area of aerodynamics, the Bernoulli Equation was used to derive the conditions of isomorphism for flow in the actual object. This defines the boat model from the technical point of view. Because, in the attempt to develop the best possible value-for-money products, dictated by the market competitiveness, fixed costs play a major role, so it is necessary to complement technical information with economic laws. Based on these, it is then possible to select either the homomorphic model (the one which does not meet all requirements on similarity) or the isomorphic model (the one which more closely conforms to the actual product). Here the economic aspects of the model’s feasibility is assessed in three different dimensions which mutually interact with each other: The first dimension deals with the question of whether the product is for the customer segment for which it is intended, the correct value proposition, (using either the Boston Matrix or the GE Matrix as a tool). The second dimension answers the question of whether a typical customer is not too costly to service, and the last dimension assesses the closeness of the model’s similarity according to the criteria of flexibility of the demand function. Thus the primary objective of this paper is to mathematically derive the criteria of similarity between the model and the product. This criterion represents the criterion of the model’s technical limitations. In order to optimise the selection of most suitable model under the circumstances (for the given product), it is also necessary to take into account the mutually interacting economic criteria. To provide an understanding how these economic criteria interact with each other is another objective of this paper.

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)0.004
metaresearch head score (Gemma)0.015
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.009
Threshold uncertainty score0.030

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0040.015
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.001
Science and technology studies0.0010.005
Scholarly communication0.0040.006
Open science0.0010.003
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0090.001

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 head0.081
GPT teacher head0.310
Teacher spread0.228 · 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 designSimulation or modeling
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

Citations7
Published2015
Admission routes1
Has abstractyes

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