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On Very Large Scale Assignment Problems

In: Large Scale Optimization

Author

Listed:
  • Yusin Lee

    (Massachusetts Institute of Technology, Department of Civil Engineering)

  • James B. Orlin

    (Massachusetts Institute of Technology, Sloan School of Management)

Abstract

In this paper we present computational testing results on very large scale random assignment problems. We consider a fully dense assignment problem with 2n nodes. Some conjectured or derived properties regarding fully dense assignment problems including the convergence of the optimal objective function value and the portion of nodes assigned with their kth best arc have been verified for networks up to n = 100,000 in size. Also we demonstrate the power of our approach in solving very large scale assignment problems by solving a one million node, one trillion arc random assignment problem.

Suggested Citation

  • Yusin Lee & James B. Orlin, 1994. "On Very Large Scale Assignment Problems," Springer Books, in: W. W. Hager & D. W. Hearn & P. M. Pardalos (ed.), Large Scale Optimization, pages 206-244, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-3632-7_12
    DOI: 10.1007/978-1-4613-3632-7_12
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