Unrelated parallel-machine scheduling with deteriorating maintenance activities

  • Authors:
  • T. C. E. Cheng;Chou-Jung Hsu;Dar-Li Yang

  • Affiliations:
  • Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong;Department of Industrial Engineering and Management, Nan Kai University of Technology, Nan-Tou 542, Taiwan;Department of Information Management, National Formosa University, Yun-Lin 632, Taiwan

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2011

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Abstract

We study the problem of unrelated parallel-machine scheduling with deteriorating maintenance activities. Each machine has at most one maintenance activity, which can be performed at any time throughout the planning horizon. The length of the maintenance activity increases linearly with its starting time. The objective is to minimize the total completion time or the total machine load. We show that both versions of the problem can be optimally solved in polynomial time.