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Two-agent scheduling problem about total late  work on a single machine

MA Lu1   ZHANG Xingong1,*   

  1. 1. College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China
  • Received:2015-11-12 Online:2017-03-15 Published:2017-03-15

Abstract:

We consider two-agent scheduling problem about total late work on a single machine. The first agent has total late work as its objective function, while the second agent considers either the total complete time or the number of tardy jobs as its objective function. The goal is to find a schedule that minimize the objective of the first agent while keeping the objective of the second agent cannot exceed a giving upper bound. We present a pseudo-polynomial time algorithm for these two scheduling problem, respectively.

Key words: scheduling, two-agent, total late work, polynomial programming algorithm