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Modelling API rate limits as diophantine inequalities

10 months ago
  • #diophantine-equations
  • #rate-limiting
  • #optimization
  • Understand the rate limit constraint of 10 requests per hour.
  • Tasks have a retry pattern at minutes 0, 10, and 30 after start.
  • Mathematically model the problem using Diophantine inequalities.
  • Use integer linear programming to ensure no 60-minute window exceeds the rate limit.
  • Implement a Go program to check if scheduling a new task violates constraints.
  • Optimize the solution using a sliding window technique for efficiency.
  • Highlight the intersection of software problems and mathematical solutions.