Joint capacity, inventory, and demand allocation decisions in manufacturing systems
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
We study the demand, inventory, and capacity allocation problem in production systems with multiple inventory locations and a production facility operating under linear and concave costs. Independent stochastic demand from multiple sources is fulfilled from multiple warehouses that are in turn replenished from a shared production facility with stochastic production lead times. We propose a novel formulation of the demand allocation problem, and show that the optimal customer allocations are not necessarily single-sourced. The new formulation allows the inclusion of additional decisions alongside demand and inventory allocation. Capacity decisions are incorporated under two cost structures: linear and concave. For the concave case, we show that for a given demand and inventory allocation, the optimal capacity of the production facility takes on discrete values within a finite set, which allows the objective to be linearized. We demonstrate numerically that the joint optimization of capacity, inventory, and demand allocation decisions has significant cost savings over a sequential decision and leads to a high utilization of the production facility under linear capacity costs, but relatively low utilization under concave costs. Safety stock, on the other hand, at the distribution centers is relatively low under linear and concave cost.
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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 | 0.001 |
| 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