A comment on scheduling on uniform machines under chain-type precedence constraints

  • Authors:
  • Gerhard J. Woeginger

  • Affiliations:
  • Institut für Mathematik B, TU Graz, Steyrergasse 30, A-8010 Graz, Austria

  • Venue:
  • Operations Research Letters
  • Year:
  • 2000

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Abstract

In a recent paper, Chekuri and Bender (Proceedings of IPCO'98, pp. 383-393) derive (among other results) a polynomial-time 6-approximation algorithm for makespan minimization on uniform parallel machines subject to chain-type precedence constraints. In this short note, we combine some straightforward observations and thereby derive an extremely simple 2-approximation algorithm for this problem.