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knapsack

Implementation of several algorithms for solving 1/0 knapsack problem on Python.

Here are implemented 5 algorithms:

  • brute force
  • cost/weight ratio greedy
  • branches and bounds
  • dynamic programming
  • FPTAS (fully polynomial-time approximation scheme)
  • simulated annealing

The main file is: knapsack_problem_solver.py

The inst directory contains data for experiments. The sol directory contains right answers for experiments checking.

Format of instance files:

  • ID
  • the number of items
  • the knapsack capacity
  • sequence of weight-cost pairs

Format of solution files:

  • ID
  • the number of items
  • the best cost value
  • sequence of 0/1: if the i-th element of sequence equal to 1 then we take the i-th item to knapsack overwise we don't take the item to knapsack