Search In this Thesis
   Search In this Thesis  
العنوان
THE MULTI OBJECTIVE PROGRAMMING UTILIZING THE DUALITY THEOREM \
الناشر
MAGDY MOHAMED KAMEL YOUSEF،
المؤلف
YOUSEF, MAGDY MOHAMED KAMEL.
هيئة الاعداد
باحث / MAGDY MOHAMED KAMEL YOUSEF
مشرف / MONIR SAYED MORSY
مشرف / M. EL·KAFRAWY
مشرف / N. EL·RAML Y
الموضوع
Algorithms. Computer-Aided Design.
تاريخ النشر
1987 .
عدد الصفحات
206 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
1/1/1987
مكان الإجازة
جامعة عين شمس - كلية العلوم - الرياضة البحتة
الفهرس
Only 14 pages are availabe for public view

from 223

from 223

Abstract

THE MAIN OBJECT OF THIS THESIS IS TO FIND THE SET OF OPTIMUM SOLUTIONS (NON-DOMINATED EXTREME POINTS), AND THE SET OF OPTIMUM PARAMETERS FOR THE LINEAR MULTIPARAMETRIC PROGRAMMING PROBLEMS, IN WHICH THE PARAMETERS ARE IN THE OBJECTIVE FUNCTIONS OR IN THE RIGH HAND SIDE OF CONSTRAINTS .
ALSO WE STUDY THE THEORETICAL BASIS AND SOME ALGORITHMS FOR THE VECTOR MAXIMIZATION PROBLEM FOR THE GENERAL VIEWPOINT OF J. PHILIP IN 1972(4). FURTHERMORE WE INTRODUCED THE CONCEPTS OF PARETO OPTIMALITY WHICH FOUND IT’S WAY INTO OPERATIONS RESEARCH IN THE PIONEERING WORK OF J.G. LINE (5)1976, where HE FOUND THE PARETO-OPTIMAL SOLUTIONS FOR THE MULTIPLE-OBJECTIVE PROBLEMS.
MOREOVER, WE DEMONSTRATE IN DETAILS THE PREVIOUS IN CHAPTER 1. IN CHAPTER 2 WE SHOW HOW TO SOLVE THE LINEAR MULTIPARAMETRIC PROGRAMMING PROGRAMMING PROBIEMS BY THE SIMPLEX TECHNIQUES.