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العنوان
Solving Optimization Problems Under Stochastic Max-Min Constraints /
المؤلف
Hanaa Mortada Reda Khater ,
هيئة الاعداد
باحث / Hanaa Mortada Reda Khater
مشرف / Ihab Ahmed Fahmy Elkhodary
مشرف / Ahmed Abuelyazid Elsawy
مناقش / Ihab Ahmed Fahmy
مناقش / Tarek Hanafi Mohamed
الموضوع
Operations Research
تاريخ النشر
2022.
عدد الصفحات
175 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
Computer Science (miscellaneous)
تاريخ الإجازة
15/5/2022
مكان الإجازة
جامعة القاهرة - كلية الحاسبات و المعلومات - Operations Research & Decision Support
الفهرس
Only 14 pages are availabe for public view

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from 175

Abstract

The Extremal Algebra is a modern branch of algebra which is
concerned with the max or min of the function. The Extremal Algebra
included the max-min algebra and min-max which solved the problem in the
worst case or best case. The Extremal Algebra is suitable for formulating
many real life problems such as logistics problem, transportation problem,
supply chain problem and water network, etc. to guarantee the quality of
service.
This thesis studies the max-min separable optimization problem under
max-min separable constraints which was presented in the previous works.
This problem was solved by two separate algorithms one finds the optimal
solution of optimization problem under max-min inequality constraints and
the other algorithm finds the solution in case of equality constraints.
Our problem has been studied in stochastic environment to satisfy the
real situation of some real problems such as transportation problem, logistic
problem... etc. The stochastic parameters have been manipulated in different
positions of constraints as (right hand side or left hand side)