extract: 2025-04-25-bournassenko-queueing-theory-cicd-pipelines

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Teleo Agents 2026-03-15 19:27:53 +00:00
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@ -31,6 +31,12 @@ For the Teleo pipeline specifically: when extract produces claims faster than ev
The tradeoff: AIMD is reactive rather than predictive, so it responds to load changes rather than anticipating them. For bursty workloads with predictable patterns, ML-based prediction might provision capacity faster. But for unpredictable workloads or systems where prediction accuracy is low, AIMD's simplicity and guaranteed stability are compelling. The tradeoff: AIMD is reactive rather than predictive, so it responds to load changes rather than anticipating them. For bursty workloads with predictable patterns, ML-based prediction might provision capacity faster. But for unpredictable workloads or systems where prediction accuracy is low, AIMD's simplicity and guaranteed stability are compelling.
### Additional Evidence (extend)
*Source: [[2025-04-25-bournassenko-queueing-theory-cicd-pipelines]] | Added: 2026-03-15*
Bournassenko's queueing theory framework provides the analytical foundation for why queue-state-based scaling works: M/M/c models give closed-form solutions for optimal worker counts based on observed arrival rates and queue depths, eliminating the need for predictive models.
--- ---
Relevant Notes: Relevant Notes:

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@ -28,6 +28,12 @@ For Teleo pipeline: if processing ~8 sources per extraction cycle (every 5 min)
More generally: λ = average sources per second, W = average extraction time. Total workers needed ≥ λ × W gives the minimum worker floor. Additional capacity rules (like square-root staffing) provide the safety margin above that floor. More generally: λ = average sources per second, W = average extraction time. Total workers needed ≥ λ × W gives the minimum worker floor. Additional capacity rules (like square-root staffing) provide the safety margin above that floor.
### Additional Evidence (extend)
*Source: [[2025-04-25-bournassenko-queueing-theory-cicd-pipelines]] | Added: 2026-03-15*
Bournassenko's M/M/c framework extends Little's Law by providing closed-form solutions for the buffer margin required. While Little's Law gives the minimum capacity floor (L = λW), M/M/c queues quantify how much additional capacity is needed to handle variance, showing that the safety margin grows sublinearly with system size.
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Relevant Notes: Relevant Notes:

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@ -27,6 +27,12 @@ Ward Whitt presents this as a fundamental result from multi-server queueing anal
This is observable in practice across industries: Amazon's fulfillment centers, telecom networks, and financial trading systems all exhibit this scaling behavior. This is observable in practice across industries: Amazon's fulfillment centers, telecom networks, and financial trading systems all exhibit this scaling behavior.
### Additional Evidence (confirm)
*Source: [[2025-04-25-bournassenko-queueing-theory-cicd-pipelines]] | Added: 2026-03-15*
The paper demonstrates this principle specifically for CI/CD pipelines, showing that M/M/c models reveal diminishing returns to worker scaling where marginal improvement of worker N+1 decreases as N grows, confirming the sublinear safety margin growth.
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Relevant Notes: Relevant Notes:

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@ -0,0 +1,40 @@
{
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{
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{
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"kept": 0,
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"rejected": 3,
"fixes_applied": [
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"model": "anthropic/claude-sonnet-4.5",
"date": "2026-03-15"
}

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@ -6,8 +6,12 @@ url: https://arxiv.org/abs/2504.18705
date: 2025-04-25 date: 2025-04-25
domain: internet-finance domain: internet-finance
format: paper format: paper
status: unprocessed status: enrichment
tags: [pipeline-architecture, operations-research, queueing-theory, ci-cd, M/M/c-queue] tags: [pipeline-architecture, operations-research, queueing-theory, ci-cd, M/M/c-queue]
processed_by: rio
processed_date: 2026-03-15
enrichments_applied: ["littles-law-provides-minimum-worker-capacity-floor-for-pipeline-systems-but-requires-buffer-margin-for-variance.md", "multi-server-queueing-systems-exhibit-economies-of-scale-because-safety-margin-grows-sublinearly-with-system-size.md", "aimd-worker-scaling-requires-only-queue-state-observation-not-load-prediction-making-it-simpler-than-ml-based-autoscaling.md"]
extraction_model: "anthropic/claude-sonnet-4.5"
--- ---
# On Queueing Theory for Large-Scale CI/CD Pipelines Optimization # On Queueing Theory for Large-Scale CI/CD Pipelines Optimization
@ -27,3 +31,9 @@ Academic paper applying classical M/M/c queueing theory to model CI/CD pipeline
Direct parallel: our extract/eval pipeline IS a multi-stage CI/CD-like system. Sources arrive (Poisson-ish), workers process them (variable service times), and queue depth determines throughput. The M/M/c framework gives us closed-form solutions for expected wait times given worker counts. Direct parallel: our extract/eval pipeline IS a multi-stage CI/CD-like system. Sources arrive (Poisson-ish), workers process them (variable service times), and queue depth determines throughput. The M/M/c framework gives us closed-form solutions for expected wait times given worker counts.
Key insight: M/M/c queues show that adding workers has diminishing returns — the marginal improvement of worker N+1 decreases as N grows. This means there's an optimal worker count beyond which additional workers waste compute without meaningfully reducing queue wait times. Key insight: M/M/c queues show that adding workers has diminishing returns — the marginal improvement of worker N+1 decreases as N grows. This means there's an optimal worker count beyond which additional workers waste compute without meaningfully reducing queue wait times.
## Key Facts
- Bournassenko's paper was published on arxiv.org in April 2025
- The paper models pipeline stages as M/M/c queues with Poisson arrivals, exponential service times, and c servers
- The framework addresses bottleneck formation in high-volume shared infrastructure pipelines