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Record W4386304250 · doi:10.32920/24058725.v1

Newsvendor model with Brownian motion demand

2023· preprint· en· W4386304250 on OpenAlexaff
Samuel Pandit

Bibliographic record

Venuenot available
Typepreprint
Languageen
FieldBusiness, Management and Accounting
TopicSupply Chain and Inventory Management
Canadian institutionsToronto Metropolitan University
Fundersnot available
KeywordsNewsvendor modelVariance (accounting)Sensitivity (control systems)EconomicsBrownian motionTotal costEconometricsGoodwillVariable (mathematics)Unit costMathematicsMicroeconomicsStatistics

Abstract

fetched live from OpenAlex

The newsvendor model is beneficial in managing inventories and determining the optimal ordering quantity. It assumes that the newsvendor knows the demand distribution and costs associated with it beforehand. However, due to demand uncertainty, predicting the demand before the selling period is a challenging task for the newsvendor. In this report, the uncertain demand is modeled to follow a geometric Brownian motion for its suitability for handling demand uncertainty. A numerical example is provided along with sensitivity analysis. This report illustrates that the parameters such as mean, customer loss-of-goodwill, and selling price per unit are inversely proportional to the expected total cost. On the contrary, the parameters such as holding cost, variance, and variable cost per unit are directly proportional to the expected total cost. This report shows that lower values of variance and higher values of mean contribute to the minimum values of the expected total cost.

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)0.003
metaresearch head score (Gemma)0.006
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 score0.011
Threshold uncertainty score0.037

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0030.006
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0010.001
Science and technology studies0.0010.002
Scholarly communication0.0030.004
Open science0.0030.001
Research integrity0.0040.003
Insufficient payload (model declined to judge)0.0110.002

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 head0.059
GPT teacher head0.234
Teacher spread0.175 · 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

Citations0
Published2023
Admission routes1
Has abstractyes

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