MULTISTAGE PRODUCTION WITH PROBABILISTIC DEMAND AND FINITE RESOURCE CAPACITY
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.
Bibliographic record
Abstract
A mathematical model to reach the optimal multistage production undergoing the considerations of probabilistic market demand, finite resource capacity of each stage, related costs, sales price, and unreliable machines is developed in this paper. This research is practically applicable to evaluate the optimal production quantity in reducing the risk of future uncertainty. In addition, candidate cases, totally non-synchronous and at least two adjacent workstations with synchronous production, as well as their optimal solutions are also suggested. Moreover, the sensitivity analyses on key parameters of the optimal solution for each case are comprehensively presented. In sum, this study provides a dynamic tool capable of controlling the multistage production plan under the future uncertainty at any time for the production planners with profound insight.
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.
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it