Queueing analysis of ATM tandem queues with correlated arrivals
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Bibliographic record
Abstract
Considers tandem queues with correlated arrivals and joining interference, which model a portion of a virtual circuit at the access node in an ATM network. The authors focus the main analysis on a two-node tandem network, which they model as a discrete-time queueing system. They derive a functional equation relating the joint generating function of this system between two consecutive slots. The functional equation is then transformed into a suitable form, which enables the derivation of the steady-state joint generating function of the contents of the queues. From this, any moment of the queue length at each node can be extracted. They also give explicit expressions for the average time delay at each node as well as for the total average delay in the network. They illustrate the solution technique by some numerical examples.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.004 |
| 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) | 0.004 | 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