Ellipsoid Method for Linear Programming made simple
نویسنده
چکیده
In this paper, ellipsoid method for linear programming is derived using only minimal knowledge of algebra and matrices. Unfortunately, most authors first describe the algorithm, then later prove its correctness, which requires a good knowledge of linear algebra.
منابع مشابه
A new approach for Robot selection in manufacturing using the ellipsoid algorithm
The choice of suitable robots in manufacturing, to improve product quality and to increase productivity, is a complicated decision due to the increase in robot manufacturers and configurations. In this article, a novel approach is proposed to choose among alternatives, differently assessed by decision makers on different criteria, to make the final evaluation for decision-making. The approach i...
متن کاملLinear Programming and Integer Linear Programming
5 Algorithms 8 5.1 Fourier-Motzkin Elimination . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.2 The Simplex Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5.3 Seidel’s Randomized Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.4 The Ellipsoid Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.5 Using the Ellipsoid...
متن کاملA New Method For Solving Linear Bilevel Multi-Objective Multi-Follower Programming Problem
Linear bilevel programming is a decision making problem with a two-level decentralized organization. The leader is in the upper level and the follower, in the lower level. This study addresses linear bilevel multi-objective multi-follower programming (LB-MOMFP) problem, a special case of linear bilevel programming problems with one leader and multiple followers where each decision maker has sev...
متن کاملLinear Programming Stories
The history of polyhedra, linear inequalities, and linear programming has many diverse origins. Polyhedra have been around since the beginning of mathematics in ancient times. It appears that Fourier was the first to consider linear inequalities seriously. This was in the first half of the 19 century. He invented a method, today often called Fourier-Motzkin elimination, with which linear progra...
متن کاملCSC 2411 - Linear Programming and Combinatorial Optimization ∗ Lecture 7 : Ellipsoid Algorithm and Interior Point
This lecture provides an in-depth explanation of ellipsoid algorithm which was developed in 1979 by a Soviet mathematician L.G. Khachian. Ellipsoid algorithm is the first polynomial-time linear programming algorithm which also knows as Khachiyan’s algorithm to acknowledge Khachiyan’s discovery. This algorithm is fundamentally different from Simplex Algorithm in a sense that it does not exploit ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1712.04637 شماره
صفحات -
تاریخ انتشار 2017