A HIERARCHICAL METHOD TO SOLVE ONE MACHINE MULTICRITERIA SEQUENCING PROBLEM

Document Type : Research Paper

Author

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

Abstract

Abstract. The problem of minimizing a function of three criteria maximum
earliness, total of square completion times and total lateness in a hierarchical
(lexicographical) method is proposed in this article. On one machine, n independently tasks (jobs) must planned. It is always available starting at time
zero and can only do mono task (job) at time period. Processing for task (job)
j(j = 1, 2, ..., nj) is necessary meantime the allotted positively implementation
time ptj . For the problem of three criteria maximization earliness, total of square
completion times, and total lateness in a hierarchy instance, the access of limitation that which is desired sequence is hold out. The Generalized Least Deviation
Method (GLDM), a robust technique for analyzing historical data to project
future trends is analyzed.

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 05 August 2024
  • Receive Date: 07 May 2024
  • Revise Date: 21 May 2024
  • Accept Date: 03 August 2024