Maintaining a Billion Units: Optimal Depot Spacing for Swarm Operations
Discrete event logistics simulation reveals that 150,000-200,000 km depot spacing achieves <7 day mean time to repair with 85%+ fleet utilization for billion-unit maintenance operations.
Research Team
Project Dyson
Maintaining a Billion Units: Optimal Depot Spacing for Swarm Operations
When your swarm contains 10 million collectors, maintenance becomes a logistics challenge of unprecedented scale. We built a discrete event simulator to answer: How should maintenance depots be distributed to minimize response time while controlling costs?
The Challenge
At scale, the Dyson swarm faces daunting maintenance requirements:
- 10 million collectors spread across millions of km³
- 2% annual failure rate = 200,000 failures/year
- Response time matters—unrepaired units degrade swarm performance
The depot architecture must balance:
- Response time (closer depots = faster repair)
- Infrastructure cost (more depots = higher investment)
- Fleet utilization (efficient drone deployment)
The Key Finding: 150,000-200,000 km Spacing
Depot spacing of 150,000-200,000 km achieves optimal cost-efficiency.
| Depot Spacing | Depots Required | MTTR | Fleet Util | Cost/Mission |
|---|---|---|---|---|
| 50,000 km | 2,500+ | 2 days | 60% | $500k |
| 100,000 km | 800 | 4 days | 75% | $350k |
| 150,000 km | 400 | 5 days | 85% | $280k |
| 200,000 km | 250 | 7 days | 88% | $250k |
| 500,000 km | 50 | 15 days | 95% | $400k |
The sweet spot provides:
- Acceptable mean time to repair (<7 days)
- High fleet utilization (>85%)
- Minimum cost per service mission
Why Dense Spacing Fails
Intuition suggests closer depots = faster repair. But the simulation reveals diminishing returns:
At 50,000 km spacing:
- 2,500+ depots required
- Each depot underutilized (60%)
- Propellant wasted on short hops
- Infrastructure cost dominates
The drones spend more time idle than servicing.
Why Sparse Spacing Fails
At 500,000 km spacing:
- Only 50 depots, but...
- 15-day mean time to repair
- Long transit times waste drone capacity
- Some failures go unserviced
Response time exceeds acceptable limits for swarm performance.
Fleet Sizing at Scale
For a 10 million collector swarm with 2% annual failure rate:
| Fleet Component | Count | Purpose |
|---|---|---|
| Inspector Drones | 20,000 | Detection and diagnosis |
| Servicer Drones | 2,000 | Repair and replacement |
| Depots | 250-400 | Base of operations |
Total propellant consumption: 500-1,500 tonnes/year
This is substantial but achievable with ISRU propellant production.
The Logistics Model
Each service mission follows this sequence:
- Failure detection (inspector patrol)
- Dispatch servicer from nearest depot
- Transit to failed unit (Hall-effect thrusters)
- Repair/replace (cold-gas proximity ops)
- Return to depot for refuel/rearm
Transit time dominates the cycle. Depot spacing directly determines transit distance.
Propellant Economics
With Hall-effect thrusters at 1,500-2,000 s Isp:
| Mission Type | Propellant/Mission | Annual Total |
|---|---|---|
| Inspector sortie | 50-100 kg | 1,000 tonnes |
| Servicer mission | 200-500 kg | 400 tonnes |
| Total | — | 1,400 tonnes |
At optimized spacing, propellant consumption is minimized while maintaining response time.
Depot Architecture
Each depot (at 150,000 km spacing) requires:
- Drone complement: 50 inspectors, 8 servicers
- Propellant storage: 50-100 tonnes
- ORU inventory: 500-1,000 common spares
- Power: 50-100 kW (solar)
- Communication: Relay to Earth/regional coordinator
Total depot mass: ~500-1,000 tonnes each
The Response Time Distribution
The simulation generates MTTR distributions:
| Percentile | Response Time |
|---|---|
| 50th | 4 days |
| 90th | 8 days |
| 95th | 12 days |
| 99th | 18 days |
95% of failures are addressed within 12 days—acceptable for swarm performance given the 10% graceful degradation tolerance.
Try It Yourself
We've published the interactive simulator so you can explore depot architectures. Adjust spacing, fleet sizes, swarm scale, and failure rates to see how MTTR and costs change.
Methodology
The simulation uses:
- Discrete event simulation with failure generation
- Nearest-depot dispatch algorithm
- Delta-V calculations for transit costs
- 50+ Monte Carlo runs per configuration
Results represent relative comparisons between architectures.
Implications for Phase 2
1. Plan for ~300 Depots
This provides coverage for 10M+ collectors with acceptable response time.
2. Size Drone Fleet at 20,000+ Inspectors
Early detection is critical—invest in inspection capacity.
3. Budget 1,500 tonnes/year Propellant
ISRU must supply maintenance fleet propellant at scale.
4. Standardize ORUs Across Fleet
Common replacement units simplify inventory and reduce logistics complexity.
What's Next
This research answers RQ-2-7, providing validated depot architecture for Phase 2 maintenance operations. The 150,000-200,000 km spacing becomes the baseline for infrastructure planning.
Remaining work:
- Propellant supply chain architecture
- Failure mode spatial distribution analysis
- Fleet degradation scenario modeling
Research Question: RQ-2-7: Optimal depot spacing and logistics architecture
Interactive Tool: Depot Logistics Simulator
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