Solution of Large-Scale Linear Programming Problem by Using Computer Technique
Open Access
- 28 February 2022
- journal article
- Published by Universe Publishing Group - UniversePG in International Journal of Material and Mathematical Sciences
Abstract
Linear programming (LP) is an important part of applied mathematics. This method has found its applications to important areas of product mix, blending, and diet problems. Steel, chemical, food processing industries and Oil refineries industry are also using LP with considerable success. But in practical LP can be very large. In this paper, our intent is to formulate an LP model of some large-scale real-life-oriented problems and to apply computer techniques for solving these problems. Starting with the graphical procedure which provides an ample amount of understanding into some fundamental concepts, the simple procedure of solving LP problems is developed. Finally, a special class of LP problem, namely Transportation is taken up and solved. We also solved the simplex system by using FORTRAN programming.Keywords
This publication has 4 references indexed in Scilit:
- Numerical Solution of Diffusion Equation with Caputo Time Fractional Derivatives Using Finite-Difference Method with Neumann and Robin Boundary ConditionsInternational Journal of Material and Mathematical Sciences, 2022
- Portfolio Optimization in DSE Using Financial Indicators, LSTM & PyportfolioOptInternational Journal of Material and Mathematical Sciences, 2021
- Optimum Utilization of the Transportation SystemEconometrica, 1949
- The Distribution of a Product from Several Sources to Numerous LocalitiesJournal of Mathematics and Physics, 1941