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NHL Team Alignment Strategy for Successor Function in Hill Climbing

Implementing a unique approach involving team swaps and simulated annealing iterations to find optimal solutions for NHL team alignments. Analysis reveals unexpected but valuable insights. Explore the implications with map images provided by Kyle McGivney.

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NHL Team Alignment Strategy for Successor Function in Hill Climbing

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  1. PR2 – NHL Alignment • Successor function for Hill Climbing: • Two Components: • Three Team swaps • Whole division swaps (e.g. Pick two divisions in opposite conferences and swap all of their teams) • Take the union of the two above for state to find successors • Simulated Annealing Iterations: 10,000 • Tried each method 20 times: • Three solutions found: • 20283.68 • 20286.07 • 20291.56 Kyle McGivney

  2. Solutions • Unexpected results: Teams which are commonly associated for geographical reasons are in separate conferences or divisions. e.g. • 1. Tampa Bay and Florida • 2. Chicago and Detroit • 3. Vancouver and Calgary/Edmonton • The second-best solution put New York and New Jersey in different divisions, although the two are the closest two teams in the NHL. • Using a simplified distance metric may have caused North/South and East/West distance distortions. • See map images Kyle McGivney

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