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Batch Scheduling with Proportional-Linear Deterioration and Outsourcing

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  • Cuixia Miao
  • Fanxiao Meng
  • Juan Zou
  • Binglin Jia

Abstract

We consider the bounded parallel-batch scheduling with proportional-linear deterioration and outsourcing, in which the actual processing time is or . A job is either accepted and processed in batches on a single machine by manufactures themselves or outsourced to the third party with a certain penalty having to be paid. The objective is to minimize the maximum completion time of the accepted jobs and the total penalty of the outsourced jobs. For the model, when all the jobs are released at time zero, we show that the problem is NP-hard and present a pseudo-polynomial time algorithm, respectively. For the model, when the jobs have distinct ( ) release dates, we provide a dynamic programming algorithm, where is the number of jobs.

Suggested Citation

  • Cuixia Miao & Fanxiao Meng & Juan Zou & Binglin Jia, 2017. "Batch Scheduling with Proportional-Linear Deterioration and Outsourcing," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-5, June.
    • Handle: RePEc:hin:jnlmpe:6093029
    DOI: 10.1155/2017/6093029
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