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On Pareto Set for a Bi-Criterion Scheduling Problem Under Fuzziness

المصدر: المجلة العراقية للعلوم الإحصائية
الناشر: جامعة الموصل - كلية علوم الحاسوب والرياضيات
المؤلف الرئيسي: Ramadan, Ayad Mohammed (Author)
المجلد/العدد: ع33
محكمة: نعم
الدولة: العراق
التاريخ الميلادي: 2021
الصفحات: 64 - 71
ISSN: 1680-855X
رقم MD: 1164379
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
مواضيع:
كلمات المؤلف المفتاحية:
Scheduling Problem | Bi-Criterion Problems | Pareto Set | Fuzzy Processing Times | Fuzzy Due Date
رابط المحتوى:
صورة الغلاف QR قانون
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المستخلص: In this paper a bi-criterion fuzzy scheduling problem was presented and the problem under consideration is total fuzzy completion time and maximum earliness, where the processing times and the due dates are triangular fuzzy numbers. Each of n jobs is to be processed without interruption on a single machine and becomes available for processing at time zero. A new definition of fuzzy numbers was given namely m-strongly positive fuzzy numbers, through this definition we found an interval which restricts the range of the fuzzy lower bound and presented a relation between the fuzzy lower bound and the fuzzy optimal solution with number of efficient solutions. Also we found the exact solution of the problem through finding the Pareto set.

ISSN: 1680-855X

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