scholarly journals THE GRAPHIC AND SIMPLEX METHODS THE GEOMETRIC INTERPRETATION OF LINEAR PROGRAMMING WHEN APPLIED TO THE ARMED FORCES

2020 ◽  
Vol 2 (№12 2020) ◽  
pp. 223-227
Author(s):  
G.Yu. Bashashkina
Keyword(s):  
Linear Programming ◽  
Armed Forces ◽  
Geometric Interpretation ◽  
Simplex Methods

scholarly journals Linear programming measures for solving the problem of a linear division of convex multiplayers.

2018 ◽  
Vol 10 (2) ◽  
Author(s):  
Sarmad H. Ali ◽  
Osamah A. Ali ◽  
Samir C. Ajmi
Keyword(s):  
Machine Learning ◽  
Linear Programming ◽  
Optimal Solution ◽  
Optimal Method ◽  
Linear Separation ◽  
Different Types ◽  
Simplex Methods

In this research, we are trying to solve Simplex methods which are used for successively improving solution and finding the optimal solution, by using different types of methods Linear, the concept of linear separation is widely used in the study of machine learning, through this study we will find the optimal method to solve by comparing the time consumed by both Quadric and Fisher methods.

scholarly journals Dual Approach in the Application of Geometric Interpretation of Linear Programming on the Organisation of Goods Distribution

2021 ◽  
Vol 33 (6) ◽  
pp. 847-858
Author(s):  
Bogdan Marković ◽  
Milan Marković
Keyword(s):  
Linear Programming ◽  
Geometric Interpretation ◽  
Manufacturing Companies ◽  
Mathematical Aspect ◽  
Calculation Methods ◽  
Dual Approach ◽  
The Core ◽  
Primal And Dual ◽  
Core Activity ◽  
Research Studies

The topic of the paper is the application of dual approach in formulation and resolution of goods distribution tasks problems. The gap in previous goods distribution research is the absence of the methodologies and goods transportation calculation methods for manufacturing companies with not too large amount of goods distribution whereby goods distribution is not the core activity. The goal of this paper is to find a solution for transportation in such companies. In such cases it is not rational to procure a specific software for the improvement of goods transportation but rather apply the calculation presented in this paper. The aim of this paper from mathematical aspect is to show the convenience of switching from the basic geometric interpretation of linear programming applied on transportation tasks to dual approach for the companies with too many costs limitations per transport task but not enough available transportation means. Recent research studies that use dual approach in linear programming are generally not applied to transportation tasks although such approach is very convenient. The goal of the paper is also to resolve transportation tasks by both primal and dual approach in order to prove the correctness of the method.

On the Equivalence of the Simplex Methods and a Multiplier-Alike Method for Linear Programming

2002 ◽  
Vol 113 (3) ◽  
pp. 487-512
Author(s):  
T. S. Chang ◽  
J. Adachi ◽  
X. Wang ◽  
T.R. Chen
Keyword(s):  
Linear Programming ◽  
Simplex Methods

An alternative method for linear programming

1954 ◽  
Vol 50 (4) ◽  
pp. 513-523 ◽  
Author(s):  
E. M. L. Beale
Keyword(s):  
Linear Programming ◽  
New Method ◽  
Alternative Method ◽  
Dual Simplex ◽  
Simplex Methods

ABSTRACTThe method of leading variables is presented as a new method of solving Linear Programming, and is compared with the Simplex and the Dual Simplex methods.

A Geometric Interpretation of the Simplex Method of Linear Programming

1973 ◽  
Vol 66 (3) ◽  
pp. 257-264
Author(s):  
Maurice Nadler
Keyword(s):  
Linear Programming ◽  
Simplex Method ◽  
Mathematical Knowledge ◽  
Matrix Algebra ◽  
Elementary Mathematics ◽  
Geometric Interpretation ◽  
Analytic Geometry ◽  
Mathematical Basis ◽  
Straight Line ◽  
Linear Programming Problems

Concepts and techniques of matrix algebra, sometimes relatively sophisticated ones, are the mathematical basis of the simplex method of solving linear programming problems. The procedures, however, can be learned without advanced mathematical knowledge and can to an extent be explained on the basis of elementary mathematics. Simple analytic geometry of the straight line will be used for an explanation of the strategy of the simplex method.

scholarly journals Very Large-Scale Linear Programming: A Case Study in Combining Interior Point and Simplex Methods

1991 ◽  
Author(s):  
Robert E. Bixby ◽  
John W. Gregory ◽  
Irvin J. Lustig ◽  
Roy E. Marsten ◽  
David F. Shanno
Keyword(s):  
Linear Programming ◽  
Interior Point ◽  
Large Scale ◽  
Simplex Methods

scholarly journals Dimensioning the extended capacity of Zlatar Ski Center using linear programming method

2021 ◽  
Vol 9 (2) ◽  
pp. 95-106
Author(s):  
Bogdan Marković ◽  
Milan Marković ◽  
Dragana Velimirović
Keyword(s):  
Linear Programming ◽  
Operational Research ◽  
Geometric Interpretation ◽  
High Potential ◽  
Programming Method ◽  
Linear Programming Method ◽  
Ski Resort ◽  
Ski Resorts

Zlatar Ski Center has an extremely high potential as a ski resort that could be among the most visited ones in Serbia. What characterizes this center is the proximity of Kokin Brod Lake, the Tara River and the like. Therefore, Zlatar should be considered both as a ski center and in terms of other diversities. The aim of this paper is to analyze the possibility of expanding the capacity of ski resorts by increasing the possible flow of skiers on new ski lifts and ski slopes. The methods used in this paper belong to operational research, specifically, the geometric interpretation of linear programming. It is also shown how to optimize the extended capacities. If the capacities of ski slopes are to be increased, it would initiate greater investment in accommodation capacities in the area of the municipality of Nova Varoš, which would affect its improvement in terms of tourism.

scholarly journals Very Large-Scale Linear Programming: A Case Study in Combining Interior Point and Simplex Methods

1992 ◽  
Vol 40 (5) ◽  
pp. 885-897 ◽  
Author(s):  
Robert E. Bixby ◽  
John W. Gregory ◽  
Irvin J. Lustig ◽  
Roy E. Marsten ◽  
David F. Shanno
Keyword(s):  
Linear Programming ◽  
Interior Point ◽  
Large Scale ◽  
Simplex Methods
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