Lagrangian Relaxation Approach for Decentralized Decision Making in Engineering Design
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Bibliographic record
Abstract
To minimize the coordination efforts among design teams and expedite the design process via parallel workflows, a cooperative and decentralized environment is often considered for team-based design. The cooperative environment implies that teams are motivated to achieve the common objective of the design, while the decentralized environment encourages teams to work independently. Due to the nature of the decentralized environment, achieving an optimal solution is not trivial, even though all teams are motivated and willing to do so. In this context, this paper introduces the Lagrangian relaxation approach for solving decentralized design problems. Also, an objective adjustment factor is proposed to improve the convergence of the solution process. Two examples, welded beam design and heat exchanger design, have been used to illustrate and validate the Lagrangian relaxation approach and the objective adjustment factor.
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.006 |
| 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