Two classes of Quadratic Assignment Problems that are solvable as Linear Assignment Problems

  • Authors:
  • GüNeş ErdoğAn;BarbarosÇ. Tansel

  • Affiliations:
  • Department of Industrial Engineering, Özyeğin University, KuşbakışıSk. No: 2, Altunizade, Istanbul, 34662, Turkey;Department of Industrial Engineering, Bilkent University, Bilkent, Ankara, 06800, Turkey

  • Venue:
  • Discrete Optimization
  • Year:
  • 2011

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Abstract

The Quadratic Assignment Problem is one of the hardest combinatorial optimization problems known. We present two new classes of instances of the Quadratic Assignment Problem that can be reduced to the Linear Assignment Problem and give polynomial time procedures to check whether or not an instance is an element of these classes.