dependency-constraint

Productivity

What must be completed first? — Dependency chain analysis + prerequisite graph construction

QUICK START

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Strategy: Dependency Constraint

Methodology

Systematic dependency analysis:

Task decomposition: Break experiment into atomic tasks
Dependency typing: Finish-to-Start, Start-to-Start, Finish-to-Finish, Start-to-Finish
Graph construction: Build directed acyclic graph (DAG)
Critical path: Longest path through the DAG
Critical chain: Critical path + resource contention
Prerequisite identification: External dependencies, approvals, data availability

Dependency categories:

Category	Examples
Technical	Code A needs library B, model needs data
Sequential	Train before evaluate, design before implement
Resource	Same GPU needed by two tasks
External	API access, dataset release, paper review
Knowledge	Need result X to decide approach Y

Execution Flow

Build Dependency Graph → call dependency-graph-construction SOP
- Input: task list, known dependencies
- Output: DAG with typed edges
Identify Critical Chain → call critical-chain-identification SOP
- Input: DAG + resource assignments
- Output: critical chain with contention points
Rank Sensitivity → invoke sensitivity-ranking tactic
- Determine which dependencies are most binding
Report → synthesize dependency assessment
- Critical path length
- Binding dependency constraints
- Parallelization opportunities

Budget Gate

Resource	Budget	Notes
Subagent calls	≤5	2 SOPs + synthesis
Iterations	≤2	Re-build if tasks change
Output size	≤3000 tokens	Graph summary + critical chain

Available Tactics

Optional, no fixed order; the final leaf is always a sop.

Tactic	When to use
sensitivity-ranking	Rank constraints by sensitivity — which ones most impact the outcome if they shift

Available SOPs

Optional, no fixed order; the final leaf is always a sop.

SOP	When to use
critical-chain-identification	Identify the critical chain — longest path considering resource contention
dependency-graph-construction	Build task dependency graph with predecessor/successor relationships