Single H100 Physical Limits:
- Memory constraint: 80GB VRAM total
- Model footprint: ~62GB (MXFP4 quantized GPT-OSS-120B)
- System overhead: ~3GB
- Available for KV cache: ~15GB
KV Cache Requirements (with GQA optimization):
- 4K context: ~1.2GB per request → 12 concurrent requests
- 8K context: ~2.4GB per request → 6 concurrent requests
- 16K context: ~4.8GB per request → 3 concurrent requests
- 32K context: ~9.6GB per request → 1-2 concurrent requests
Realistic Interaction Cycle:
Query → Generation → Reading → Thinking → Next Query
↓ ↓ ↓ ↓ ↓
Send 5-12 sec 15-45 sec 60-180 sec Repeat
Detailed Timing Breakdown:
- Request processing: 5-12 seconds (GPU utilization time)
- User reading: 15-45 seconds (response consumption)
- User thinking: 60-180 seconds (formulating next query)
- Total cycle time: 80-237 seconds (average: ~150 seconds)
GPU Utilization Rate:
- Active GPU time: 8 seconds average
- Total cycle time: 150 seconds average
- Utilization per user: 8/150 = 5.3% per user
Enterprise Usage Distribution (Starting from Active Users):
- Active user base: 100% (baseline)
- Peak 4-hour window: 45-60% of active users online
- Peak simultaneous usage: 20-30% of peak window users
- Concurrent query rate: 12-18% of simultaneous users
Simultaneous Peak Calculations:
| Active Users | Peak Window Online | Peak Simultaneous | Concurrent Queries |
|---|---|---|---|
| 1,000 | 450-600 | 90-180 | 11-32 queries |
| 5,000 | 2,250-3,000 | 450-900 | 54-162 queries |
| 10,000 | 4,500-6,000 | 900-1,800 | 108-324 queries |
Standard Context (8K) Scenario:
| Active Users | Concurrent Queries | H100 Capacity | Base GPUs Needed |
|---|---|---|---|
| 1,000 | 11-32 | 6 requests | 2-6 GPUs |
| 5,000 | 54-162 | 6 requests | 9-27 GPUs |
| 10,000 | 108-324 | 6 requests | 18-54 GPUs |
Extended Context (32K) Scenario:
| Active Users | Concurrent Queries | H100 Capacity | Base GPUs Needed |
|---|---|---|---|
| 1,000 | 11-32 | 1.5 requests | 7-21 GPUs |
| 5,000 | 54-162 | 1.5 requests | 36-108 GPUs |
| 10,000 | 108-324 | 1.5 requests | 72-216 GPUs |
Production Environment Requirements:
- Failover redundancy: 1.5x (50% backup capacity)
- Geographic distribution: 1.3x (multi-region latency optimization)
- Traffic burst handling: 1.4x (unexpected load spikes)
- Maintenance windows: 1.1x (rolling updates)
- Performance buffer: 1.2x (load balancing inefficiencies)
Total Enterprise Multiplier: 1.5 × 1.3 × 1.4 × 1.1 × 1.2 = 3.4x
| Active Users | Base GPUs | Production GPUs | Monthly Cost* |
|---|---|---|---|
| 1,000 | 2-6 | 7-20 | $38K-$108K |
| 5,000 | 9-27 | 31-92 | $167K-$497K |
| 10,000 | 18-54 | 61-184 | $330K-$993K |
| Active Users | Base GPUs | Production GPUs | Monthly Cost* |
|---|---|---|---|
| 1,000 | 7-21 | 24-71 | $130K-$383K |
| 5,000 | 36-108 | 122-367 | $659K-$1.98M |
| 10,000 | 72-216 | 245-735 | $1.32M-$3.97M |
*Based on $5.40/hour per H100 (enterprise cloud pricing)
- Query frequency: 3-5 queries/user/day
- Concurrent rate: 8-12% of active users
- Context needs: 4K-8K tokens
- Query frequency: 8-15 queries/user/day
- Concurrent rate: 15-20% of active users
- Context needs: 8K-16K tokens
- Query frequency: 20-40 queries/user/day
- Concurrent rate: 25-35% of active users
- Context needs: 16K-32K tokens
Use Case: Internal productivity tool, light-medium usage
- Context: 8K tokens
- Usage pattern: Medium (15% concurrent rate)
- Deployment: 7-20 H100 GPUs
- Annual Cost: $456K-$1.30M
Use Case: Customer-facing application, medium usage
- Context: 8K-16K tokens
- Usage pattern: Medium-Heavy (20% concurrent rate)
- Deployment: 31-180 H100 GPUs
- Architecture: Multi-region deployment
- Annual Cost: $2.00M-$11.6M
Use Case: Mission-critical platform, heavy usage
- Context: 16K-32K tokens
- Usage pattern: Heavy (25-30% concurrent rate)
- Deployment: 184-735 H100 GPUs
- Architecture: Global deployment, maximum reliability
- Annual Cost: $11.9M-$47.6M
Memory Optimization Stack Effects:
- Grouped Query Attention (GQA): Reduces GPU requirements by 60-75%
- PagedAttention: Increases effective capacity by 40-60%
- Dynamic batching: Improves throughput by 150-250%
- INT8 quantization: Additional 30-40% memory savings
Optimized Requirements (with full optimization stack):
| Active Users | Context | Optimized GPUs | Cost Reduction |
|---|---|---|---|
| 1,000 | 8K | 3-8 GPUs | 70-80% |
| 5,000 | 8K | 12-37 GPUs | 65-75% |
| 10,000 | 8K | 24-74 GPUs | 60-70% |
| 10,000 | 32K | 98-294 GPUs | 60-70% |
| Deployment Type | 1K Active | 5K Active | 10K Active |
|---|---|---|---|
| Minimal Viable (4K-8K) | 3-8 GPUs | 12-37 GPUs | 24-74 GPUs |
| Standard Enterprise (8K-16K) | 7-35 GPUs | 31-180 GPUs | 61-350 GPUs |
| Premium/Global (16K-32K) | 24-71 GPUs | 122-550 GPUs | 245-735 GPUs |
Target Peak Concurrent Loads:
- 1,000 peak concurrent users
- 5,000 peak concurrent users
- 10,000 peak concurrent users
H100 Capacity per Context Length:
- 4K context: 12 concurrent requests per H100
- 8K context: 6 concurrent requests per H100
- 16K context: 3 concurrent requests per H100
- 32K context: 1.5 concurrent requests per H100
Infrastructure Needed for Peak Concurrent Users:
| Peak Concurrent | 8K Context | 16K Context | 32K Context |
|---|---|---|---|
| 1,000 users | 167 H100s | 334 H100s | 667 H100s |
| 5,000 users | 834 H100s | 1,667 H100s | 3,334 H100s |
| 10,000 users | 1,667 H100s | 3,334 H100s | 6,667 H100s |
Production Environment Requirements:
- Failover redundancy: 1.5x (geographic backup)
- Traffic burst handling: 1.4x (demand spikes beyond peak)
- Maintenance windows: 1.2x (rolling updates)
- Performance buffer: 1.3x (load balancing overhead)
Total Enterprise Multiplier: 1.5 × 1.4 × 1.2 × 1.3 = 3.3x
Enterprise-Ready Infrastructure Requirements:
| Peak Concurrent | 8K Context | 16K Context | 32K Context |
|---|---|---|---|
| 1,000 users | 551 H100s | 1,102 H100s | 2,201 H100s |
| 5,000 users | 2,752 H100s | 5,501 H100s | 11,002 H100s |
| 10,000 users | 5,501 H100s | 11,002 H100s | 22,001 H100s |
Enterprise Usage Patterns (Reverse Analysis):
- Peak concurrent rate: 12-18% of simultaneous users
- Peak simultaneous rate: 20-30% of peak window users
- Peak window rate: 45-60% of active users online
Calculation Formula:
Active Users = Peak Concurrent ÷ (0.18 × 0.30 × 0.60)
Active Users = Peak Concurrent ÷ 0.032
Active Users = Peak Concurrent × 31.25
Conservative Calculation (Lower Multiplier):
Active Users = Peak Concurrent ÷ (0.12 × 0.20 × 0.45)
Active Users = Peak Concurrent ÷ 0.011
Active Users = Peak Concurrent × 91
Total Active Users Supported by Infrastructure:
| Peak Concurrent | Conservative Estimate | Aggressive Estimate | Realistic Range |
|---|---|---|---|
| 1,000 users | 91,000 active users | 31,250 active users | 30K-90K active |
| 5,000 users | 455,000 active users | 156,250 active users | 150K-450K active |
| 10,000 users | 910,000 active users | 312,500 active users | 300K-900K active |
Standard Deployment (8K Context):
- Production GPUs: 551 H100s
- Monthly Cost: $2.98M
- Active User Capacity: 30,000-90,000 users
- Cost per Active User: $33-$99/month
Knowledge-Intensive (32K Context):
- Production GPUs: 2,201 H100s
- Monthly Cost: $11.9M
- Active User Capacity: 30,000-90,000 users
- Cost per Active User: $132-$396/month
Standard Deployment (8K Context):
- Production GPUs: 2,752 H100s
- Monthly Cost: $14.9M
- Active User Capacity: 150,000-450,000 users
- Cost per Active User: $33-$99/month
Knowledge-Intensive (32K Context):
- Production GPUs: 11,002 H100s
- Monthly Cost: $59.4M
- Active User Capacity: 150,000-450,000 users
- Cost per Active User: $132-$396/month
Standard Deployment (8K Context):
- Production GPUs: 5,501 H100s
- Monthly Cost: $29.7M
- Active User Capacity: 300,000-900,000 users
- Cost per Active User: $33-$99/month
Knowledge-Intensive (32K Context):
- Production GPUs: 22,001 H100s
- Monthly Cost: $119M
- Active User Capacity: 300,000-900,000 users
- Cost per Active User: $132-$396/month
Revenue Requirements for Viability:
| Peak Concurrent | Context | Monthly Cost | Break-even per User* | Users Needed** |
|---|---|---|---|---|
| 1K | 8K | $2.98M | $99 | 30,000+ |
| 1K | 32K | $11.9M | $396 | 30,000+ |
| 5K | 8K | $14.9M | $99 | 150,000+ |
| 5K | 32K | $59.4M | $396 | 150,000+ |
| 10K | 8K | $29.7M | $99 | 300,000+ |
| 10K | 32K | $119M | $396 | 300,000+ |
*Conservative pricing for break-even **Minimum active users for economic viability
Memory Optimization Stack Benefits:
- Grouped Query Attention (GQA): 4x capacity increase
- PagedAttention: 60% efficiency improvement
- Dynamic batching: 2.5x throughput improvement
- Combined optimization: 6-8x capacity increase
Optimized Active User Capacity:
| Peak Concurrent | Standard Capacity | Optimized Capacity | Improvement |
|---|---|---|---|
| 1K | 30K-90K users | 180K-720K users | 6-8x |
| 5K | 150K-450K users | 900K-3.6M users | 6-8x |
| 10K | 300K-900K users | 1.8M-7.2M users | 6-8x |
Target: 1K peak concurrent, 8K context
- Infrastructure: 551 H100s ($2.98M/month)
- User capacity: 30,000-90,000 active users
- Business model: $50-100/user/month subscription
Target: 5K peak concurrent, 8K context
- Infrastructure: 2,752 H100s ($14.9M/month)
- User capacity: 150,000-450,000 active users
- Business model: $35-99/user/month subscription
Target: 10K peak concurrent, optimized deployment
- Infrastructure: 1,375 H100s with optimization ($7.4M/month)
- User capacity: 1.8M-7.2M active users
- Business model: $5-25/user/month freemium model
| Target Peak | Recommended Context | Production GPUs | Monthly Cost | Active User Capacity |
|---|---|---|---|---|
| 1K Concurrent | 8K-16K | 550-1,100 | $3.0M-$5.9M | 30K-90K active |
| 5K Concurrent | 8K-16K | 2,750-5,500 | $14.9M-$29.7M | 150K-450K active |
| 10K Concurrent | 8K-16K | 5,500-11,000 | $29.7M-$59.4M | 300K-900K active |