(Q. s) models for inventory policy with random component procurement lead times
Bibliographic record
Abstract
This paper considers inventory models of (Q, s) type with Q the order-quantity and s the order point. In general, an optimal choice of control parameters (Q and s) will depend on the characteristics of replenishment lead time and the demand process, as well as holding and shortage costs. Although many studies have treated lead time as constant, focusing only on demand variability, a number of authors have shown that a stochastic lead time is an issue that can have significant impact on inventory models and systems. This paper addresses the model when supply is assumed to have an exponential lead time distribution, and the “customer” itself is an exponential unreliable manufacturing plant, aiming for a constant mean production rate; thus both supply and demand have random characteristics. Under a so-called averaging principle approximation, we derive closed form expressions of the quantities of interest and illustrate their application in the optimization of the Q and s 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 | 0.005 | 0.009 |
| Meta-epidemiology (narrow) | 0.002 | 0.002 |
| Meta-epidemiology (broad) | 0.002 | 0.002 |
| Bibliometrics | 0.002 | 0.003 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.003 | 0.003 |
| Insufficient payload (model declined to judge) | 0.008 | 0.002 |
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.
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".