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Solving a multicriteria problem in a hierarchical method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 218، دوره 13، شماره 1، خرداد 2022، صفحه 2671-2674 اصل مقاله (338.07 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5989 | ||
| نویسنده | ||
| Adawiya A. Mahmood Al-Nuaimi* | ||
| Mathematics Department, College of Science, Diyala University, Diyala, Iraq | ||
| تاریخ دریافت: 17 شهریور 1400، تاریخ بازنگری: 04 آبان 1400، تاریخ پذیرش: 16 آذر 1400 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Single machine؛ Hierarchical؛ Lexicographical؛ Multicriteria scheduling | ||
| مراجع | ||
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