Balking and Re-service in a Vacation Queue with Batch Arrival and Two Types of Heterogeneous Service
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
In this paper we have considered a single server queue with customers or units arriving in groups or batches in a system providing two types of general heterogeneous service. The server provides type 1 or type 2 services on a first come first served basis. At the beginning of a service, a customer has the option to choose either type 1 or type 2 service. Also we added the concept of balking and re-service in this study. Balking is a kind of customer behavior. If a batch on arrival for service is reluctant or refuses to join the system for some reasons is said to balk. Once a service is completed the customer may leave the system or he has the option to demand re-service for the same service taken. Further as soon as service of any type gets completed, the server may take vacation or continue staying at the system even if the system is empty. For this model we have derived the steady state queue size distribution at random epoch and some particular cases have been developed and compared with known results.
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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 | 0.003 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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