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A package for stable matching problems with couples

Project description


Scarf is a python library for solving stable matching problems with couples, where one application is the National Resident Matching Program. The package is named after Hebert Scarf, the inventor of Scarf's lemma and algorithm.


  • Written in python3.
  • Solve for a near feasible stable matching given the preference of doctors and hospitals, and hospital capacities.
  • Generate random doctor hospital instances.
  • Accelerated with Numba. It is fast!

Accepted input format:

  • Python Lists
  • JSON



pip install scarfmatch


  import scarf
  single_pref = [[0, 1, 2], 
                 [1, 0]]
  couple_pref = [[(0, 0), (1, 1), (1, 0), (0, 1), (2, 2)],
                 [(1, 1), (2, 2), (1, -1)]]
  hospital_pref = [0, (0, 1), 1, (1, 0), (0, 0), (1, 1)]
  hospital_cap = [2, 3, 1]

  S = scarf.create_instance(single_pref, couple_pref, hospital_pref, hospital_cap)
  sol = scarf.solve(S)



Released under MIT license

Copyright (c) 2019 Dengwang Tang <>

Project details

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