Solving a multicriteria problem in a hierarchical method

Document Type : Research Paper


Mathematics Department, College of Science, Diyala University, Diyala, Iraq


The problem of minimizing a function of three criteria maximum earliness, the sum of completion times and maximum lateness in a hierarchical method is presented in this paper. A set of n independent jobs has to be scheduled on a single machine that is continuously available from time zero onwards and that can handle no more than one job at a time. Job $ j (j=1,2, \ldots,n) $ requires processing during a given positive uninterrupted time $ p_j $. An algorithm to find the best possible solution is proposed for the problem of three criteria maximum earliness, the sum of completion times and maximum lateness in a hierarchical case.


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Volume 13, Issue 1
March 2022
Pages 2671-2674
  • Receive Date: 08 September 2021
  • Revise Date: 26 October 2021
  • Accept Date: 07 December 2021