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Al-Nuaimi, Adawiya A. Mahmood. (1403). A Hierarchical method to solve one machine multicriteria sequencing problem. سامانه مدیریت نشریات علمی, 13(1), 327-338. doi: 10.22034/cmde.2024.61553.2667
Adawiya A. Mahmood Al-Nuaimi. "A Hierarchical method to solve one machine multicriteria sequencing problem". سامانه مدیریت نشریات علمی, 13, 1, 1403, 327-338. doi: 10.22034/cmde.2024.61553.2667
Al-Nuaimi, Adawiya A. Mahmood. (1403). 'A Hierarchical method to solve one machine multicriteria sequencing problem', سامانه مدیریت نشریات علمی, 13(1), pp. 327-338. doi: 10.22034/cmde.2024.61553.2667
Al-Nuaimi, Adawiya A. Mahmood. A Hierarchical method to solve one machine multicriteria sequencing problem. سامانه مدیریت نشریات علمی, 1403; 13(1): 327-338. doi: 10.22034/cmde.2024.61553.2667

A Hierarchical method to solve one machine multicriteria sequencing problem

Computational Methods for Differential Equations
مقاله 24، دوره 13، شماره 1، فروردین 2025، صفحه 327-338    اصل مقاله (381.5 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61553.2667
نویسنده
Adawiya A. Mahmood Al-Nuaimi*
Department of Mathematics, College of Science, University of Diyala, Iraq.
چکیده
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 independent tasks (jobs) must planned‎. ‎It is‎ ‎always available starting at time zero and can only do the mono task‎ (job) at a time period‎. ‎Processing for the task (job) $j (j=1,2,...,nj)$‎ ‎is necessary meantime the allotted positive implementation time‎ ‎$p_{tj}$‎. ‎For the problem of three criteria maximization earliness‎, a total of square completion times‎, ‎and total lateness in a hierarchy‎ ‎instance‎, ‎the access of limitation that which is the desired sequence‎ is held out‎. ‎The Generalized Least Deviation Method (GLDM) and a robust‎ ‎technique for analyzing historical data to project future trends are‎ analyzed‎.
کلیدواژه‌ها
Sequencing with one machine‎؛ ‎Hierarchical‎؛ ‎Lexicographic format‎؛ ‎Square completion times‎؛ ‎Multicriteria
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