Minimizing makespan on a single batching machine with release times and non-identical job sizes

  • Authors:
  • Shuguang Li;Guojun Li;Xiaoli Wang;Qiming Liu

  • Affiliations:
  • Department of Mathematics and Information Science, Yantai University, Yantai 264005, People's Republic of China;School of Mathematics and System Science, Shandong University, Jinan 250100, People's Republic of China and Institute of Software, Chinese Academy of Sciences, Beijing 100080, People's Republic of ...;School of Mathematics and System Science, Shandong University, Jinan 250100, People's Republic of China;School of Computer Science and Technology, Yantai Normal University, Yantai 264025, People's Republic of China

  • Venue:
  • Operations Research Letters
  • Year:
  • 2005

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Abstract

We consider the problem of scheduling jobs with release times and non-identical job sizes on a single batching machine; our objective is to minimize makespan. We present an approximation algorithm with worst-case ratio 2+@e, where @e0 can be made arbitrarily small.