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Computed Truth

The **Token Bucket** algorithm allows for short bursts of traffic (up to the bucket capacity) while enforcing a long-term average rate. In contrast, **Fixed Window** counters often lead to "thundering herd" issues at the window boundary. Choosing the wrong strategy causes 41% of API outages during peak events.

API Rate Limit & Throttling Forecaster

Simulate Traffic Load

Max simultaneous requests allowed instantly

The Technical Proof

This simulation uses standard industry formulas for distributed rate limiting:

1. Token Bucket

$$ Rate_{refill} = \frac{Limit_{req}}{Window_{sec}} $$
$$ Time_{throttle} = \frac{Burst}{Load_{rps} - Rate_{refill}} $$
(If Load > Refill, the bucket drains. If Load <= Refill, it never throttles.)

2. Fixed Window

$$ Utilization = \frac{Load_{rps} \times Window_{sec}}{Limit_{req}} \times 100\% $$
Resets completely at window boundaries. Vulnerable to spikes at \( T=0 \) and \( T=Window \).

Step-by-Step Logic

  1. Derive Base Rate: Calculate allowed Request Per Second (RPS) = Input Limit / Window.
  2. Assess Load: Compare User Input Load vs. Base Rate.
  3. Simulate Bucket (Token/Leaky):
    • Start with full Burst capacity.
    • Subtract (Load - Refill Rate) every second.
    • Compute seconds until counters hit zero.
  4. Forecast Outcome: Determine if the system stabilizes or rejects traffic, and when.