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A Scheduling Problem with One Producer and the Bargaining Counterpart with Two Producers

  • Xiaobing Gan
  • Yanhong Gu
  • George L. Vairaktarakis
  • Xiaoqiang Cai
  • Quanle Chen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4614)

Abstract

First this paper considers a Common Due Window (CDW) scheduling problem of n jobs on a single machine to minimize the sum of common weighted earliness and weighted number of tardy jobs when only one manufacturer processes these jobs. Two dynamic algorithms are designed for two cases respectively and each case is proved to be ordinary NP-hard. Successively the scenario, where two manufacturers jointly process these jobs due to the insufficient production facilities or techniques of each party, is investigated. A novel dynamic programming algorithm is proposed to obtain an existing reasonable set of processing utility distributions on the bi-partition of these jobs.

Keywords

Schedule Problem Optimal Schedule Dynamic Programming Algorithm Bargaining Solution Total Processing Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Xiaobing Gan
    • 1
  • Yanhong Gu
    • 2
  • George L. Vairaktarakis
    • 3
  • Xiaoqiang Cai
    • 4
  • Quanle Chen
    • 4
  1. 1.Department of Information and System Management, Shenzhen University, Shenzhen 518060China
  2. 2.Department of Applied Mathematics, Shenzhen University, Shenzhen 518060China
  3. 3.Department of Operations, Case Western Reserve University, Cleveland, OH 44106-7235USA
  4. 4.Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., HK 

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