An Efficient Solution Approach for Combinatorial Bandwidth Packing Problem with Queuing Delays
Why this work is in the frame
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Bibliographic record
Abstract
The Combinatorial bandwidth packing problem (CBPP), arising in a telecommunication network with limited bandwidth, is defined as: given a set of request, each with its potential revenue and consisting of calls with their bandwidth requirements, deciding (i) a subset of the requests to accept/reject, and (ii) a route for each call in an accepted request, so as to maximize total revenue earned. However, telecommunication networks are generally characterized by variability in the call (bits) arrival rates and service times, resulting in delays in the network. In this paper, we present a non-linear integer programming model for CBPP accounting for such delays. By using simple transformation and piecewise outer-approximation, we linearize the model, and present an efficient cutting plane based approach to solve the resulting linear mixed integer program to optimality.
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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 | 0.002 | 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 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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