Metaheuristic approaches for the two-machine flow-shop problem with weighted late work criterion and common due date

  • Authors:
  • Jacek Blazewicz;Erwin Pesch;Malgorzata Sterna;Frank Werner

  • Affiliations:
  • Institute of Computing Science, Poznan University of Technology, Piotrowo 2, 60-965 Poznan, Poland;Institute of Information Systems, FB 5-Faculty of Economics, University of Siegen, Hoelderlinstrasse 3, 57068 Siegen, Germany;Institute of Computing Science, Poznan University of Technology, Piotrowo 2, 60-965 Poznan, Poland;Faculty of Mathematics, Otto-von-Guericke-University, PSF 4120, 39016 Magdeburg, Germany

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2008

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Abstract

In this paper, metaheuristic approaches for the two-machine flow-shop problem with a common due date and the weighted late work performance measure (F2|d"j=d|Y"w) are presented. The late work criterion estimates the quality of a solution with regard to the duration of the late parts of jobs, not taking into account the quantity of the delay for the fully late activities. Since the problem mentioned is known to be NP-hard, three trajectory methods, namely simulated annealing, tabu search and variable neighborhood search are proposed based on the special features of the case under consideration. Then, the results of computational experiments are reported, in which the metaheuristics were compared one to each other, as well to an exact approach and a list scheduling algorithm.