Single machine scheduling with decreasing linear deterioration under precedence constraints

  • Authors:
  • Ji-Bo Wang

  • Affiliations:
  • School of Science, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, People's Republic of China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

This paper deals with single-machine scheduling problems with decreasing linear deterioration, i.e., jobs whose processing times are a decreasing function of their starting times. In addition, the jobs are related by parallel chains and a series-parallel graph precedence constraints, respectively. It is shown that for the problems of minimization of the makespan, polynomial algorithms exist.