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Record W4408990080 · doi:10.35784/iapgos.6555

A stochastic interval algebra for smart factory processes

2025· article· en· W4408990080 on OpenAlex
Piotr Dziurzański, Konrad Kabala, Agnieszka Konrad

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

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".

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueInformatyka Automatyka Pomiary w Gospodarce i Ochronie Środowiska · 2025
Typearticle
Languageen
FieldEngineering
TopicAdvanced Control Systems Optimization
Canadian institutionsTellabs (Canada)
Fundersnot available
KeywordsFactory (object-oriented programming)Algebra over a fieldInterval (graph theory)Computer scienceMathematicsPure mathematicsCombinatoricsProgramming language

Abstract

fetched live from OpenAlex

This paper presents a stochastic interval algebra specifically developed to evaluate the time and cost properties of smart factories. This algebra models production tasks as intervals and treats allocation and scheduling as algebraic operations on these intervals, with the goal of analysing the impact of resource allocation decisions on total production time or economic cost. The theoretical foundations of this notation are introduced, and then several simple examples of their use are presented. The proposed algebra can be also applied to describe multi-stage production and service processes, recorded with an activity-on-arrow type of graphs, In addition, it was analysed a real-life application of the described technique to planning and scheduling the activities in restaurants preparing takeaway meals. The data was collected in 30 restaurants throughout Poland, using a bespoken software/hardware Kitchen Delivery System, in which over 65,000 orders were registered. Time criteria for the correctness of individual stages of meal preparation were proposed and, after filtering out incorrect orders, the appropriate probability distributions were fitted to the remaining measured activity durations. The resulting probabilities can then be used in practice to improve the accuracy of predicting the completeness of food preparation, which in turn should improve food delivery planning with greater accuracy and enable more accurate order delivery times to be provided to end customers

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.965
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0010.001
Science and technology studies0.0000.000
Scholarly communication0.0000.002
Open science0.0010.000
Research integrity0.0000.000
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 head0.005
GPT teacher head0.224
Teacher spread0.219 · 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