A discrete-time single server queue with a two-level modulated input and its applications
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Bibliographic record
Abstract
A discrete-time, single-server system with a two-level modulated input is considered. The time axis is divided into equal-length slots, and the service time is deterministic and equal to one slot. The probability-generating function of the number of calls in the system is derived. A special case of this queuing system with a two-level Markov modulated Poisson input is studied in detail. Some numerical results concerning the mean and the variance of waiting time of an arbitrary call are given. The MMPP (Markov modulated Poisson process) approach is used to study some cases other than that of the packetized voice system. An alternative to the determination of the four parameters of the MMPP is also presented. This approach produces better results than the method presented for the cases with long burst length and high source peak rate (broadband integrated services digital network). This queuing model can be applied to performance analysis of a discrete-time ATM (asynchronous transfer mode) system and can be used as an approximation for a continuous-time MMPP/D/1 system.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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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 | 0.001 |
| 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