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Balanced optimization with vector costs

Author

Listed:
  • Annette Ficker
  • Frits Spieksma
  • Gerhard Woeginger

Abstract

We consider so-called balanced optimization problems with vector costs. We propose a framework containing such problems; this framework allows us to investigate the complexity and approximability of these problems in a general setting. More concrete, each problem in the framework admits a 2-approximation, and for many problems within the framework this result is best-possible, in the sense that having a polynomial-time algorithm with a performance ratio better than 2 would imply P=NP. Special attention is paid to the balanced assignment problem with vector costs: we show that the problem remains NP-hard even in case of sum costs.

Suggested Citation

  • Annette Ficker & Frits Spieksma & Gerhard Woeginger, 2016. "Balanced optimization with vector costs," Working Papers of Department of Decision Sciences and Information Management, Leuven 522409, KU Leuven, Faculty of Economics and Business (FEB), Department of Decision Sciences and Information Management, Leuven.
    • Handle: RePEc:ete:kbiper:522409
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