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approximation-algorithm

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Implements a traveling salesperson problem (TSP) approximation algorithm in order to optimize routes for package deliveries. Written in Python. Supports multiple delivery vehicles, real time changes to delivery schedules and addresses, and provides detailed status updates for each package at any time before, during, or after delivery.

  • Updated Jan 12, 2021
  • Python

Empirical comparison of an exact Θ(n·2ⁿ) brute force vs. a Θ(n log n) modified greedy heuristic (provable 1/2-approximation) on the Subset Sum problem. Brute force fits 1.868ⁿ with R²=0.9955; heuristic achieves 0.9848 mean quality ratio.

  • Updated May 18, 2026
  • Jupyter Notebook

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