Optimized Three-Stage EPQ Model Incorporating Time-Dependent Deterioration and Trapezoidal Demand Dynamics
Bibliographic record
Abstract
In the world of economic evolution, world economics depends on the manufacturing industries for their source of income. Besides this, all manufacturing industries aim to achieve maximum profit with minimum cost. An optimal three-stage economic production quantity model with time-dependent deterioration and trapezoidal and triangular demands is described in this paper. Shortages are not allowed; all cost values depend on time, and demand depends on trapezoidal and triangular demand. However, trapezoidal demand is described mainly in this paper. Practically, many products like automobiles, electronic devices, vegetables, biomedicines, fruits, fancy products, dairy products, etc. exhibit trapezoidal demand. A direct inverse relationship between the trapezoidal demand and production rate describes the demand rate. This study intends to delight consumers and reduce total costs. Our conclusions are illustrated using numerical examples, extensive prediction with the help of MATLAB software R2021b, and sensitivity analysis for all parameters.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.001 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.003 | 0.002 |
| Insufficient payload (model declined to judge) | 0.006 | 0.001 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".