Preview

Linear Programming

Good Essays
Open Document
Open Document
372 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Linear Programming
Linear Programming History of linear programming goes back as far as 1940s. Main motivation for the need of linear programming goes back to the war time when they needed ways to solve many complex planning problems. The simplex method which is used to solve linear programming was developed by George B. Dantzig, in 1947. Dantzig, was one in who did a lot of work on linear programming, he was reconzied by several honours. Dantzig's discovery was through his personal contribution, during WWII when Dantzig was working in the pentagon with the miltary, one of his collegues challenged him, asking "speed up the planning process". Discovery of the simplex method was his solution.

Linear programming is a powerful tool to solve many problems that arise in many different areas of the outside world. Simplex method has been standard method of solving most Linear programmings since 1940s. Simplex method uses of maximizing and minimizing a linear function to find a feasible set, from then on determined as a miximizer or a minimizer. It can handle many hundreds of variables and in that way it's extremely powerful. These problems can actually be programmed in to a computer to solve problems with extreme number of variables. Ability to handly many thousands of variables gives it's greatest advantages of all. Linear programming applications can be found in many different industries & these industries include airline crew scheduling, shipping or telecommunication networks, oil refining and blending, and stock and bond portfolio selection Importance of linear programming goes to a very high extent and it's now used in many small & big companys.. Linear programming are also uded to allocate resources, plan production, schedule workers, fincancial problems & also used in miltary planning.

All types of problems can be solved that contain a linear function which is to be maximized or minimized and given the constraints.

Solving any linear programming problem is very simple.

"¢ First

You May Also Find These Documents Helpful

  • Satisfactory Essays

    Busn312 Hw3A

    • 727 Words
    • 3 Pages

    Linear programming problems have a.|linear objective functions, non-linear constraints.| b.|non-linear objective functions, non-linear constraints.| c.|non-linear objective functions, linear constraints.| d.|linear objective functions, linear constraints.| ____C 7. The first step in formulating a linear programming problem is a.|Identify any upper or lower bounds on the decision variables.| b.|State the constraints as linear combinations of the decision variables.| c.|Understand the problem.| d.|Identify the decision variables.| e.|State the objective…

    • 727 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    OPRE/411 Week 4

    • 379 Words
    • 2 Pages

    1. Use Solver in EXCEL to solve each of the following linear programming problems. To do so,…

    • 379 Words
    • 2 Pages
    Satisfactory Essays
  • Powerful Essays

    Freaudian Analysis

    • 3380 Words
    • 14 Pages

    1. Consider the following linear programming problem: Maximize Z = 400 x + 100y Subject to 8 x + 10y ≤ 80 2 x + 6y ≤ 36 x≤ 6 x, y ≥ 0…

    • 3380 Words
    • 14 Pages
    Powerful Essays
  • Better Essays

    Acme

    • 1450 Words
    • 8 Pages

    References: Knode, C.S. (2011). Linear programming - Part 1 - Formulating the problem [video]. Retrieved from: http://vimeo.com/duffer44/linear-programming-part-1…

    • 1450 Words
    • 8 Pages
    Better Essays
  • Good Essays

    Linear Programming

    • 737 Words
    • 3 Pages

    The EI Paso plant was expanded when the company began marketing its meters in Arizona, California, Nevada, and Utah. With the growth of the West Coast business, the Darby…

    • 737 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Mat 540 Quiz 4

    • 1474 Words
    • 6 Pages

    The standard form for the computer solution of a linear programming problem requires all variables to be to the right and all numerical values to be to the left of the inequality or equality sign…

    • 1474 Words
    • 6 Pages
    Satisfactory Essays
  • Good Essays

    Week 8 Assignment 1

    • 783 Words
    • 8 Pages

    We are asked to formulate and solve the linear program in excel, write the sensitivity ranges for…

    • 783 Words
    • 8 Pages
    Good Essays
  • Satisfactory Essays

    Linear Programming

    • 431 Words
    • 4 Pages

    The Southern Textile Mill produces 5 different fabrics. Each fabric can be woven on one or…

    • 431 Words
    • 4 Pages
    Satisfactory Essays
  • Good Essays

    This objective function is subject to some constraints. These constraints can be classified in to three categories.…

    • 1401 Words
    • 6 Pages
    Good Essays
  • Satisfactory Essays

    Linear Programming Model in Operation Research study is usually mathematical type of model which contains set of equations that represent objective function and constraints. The keywords in this article are Objective Function and Constraints, according to Heizer & Render (2008) Objective Function are mathematical expression expressed in linear programming designed to maximizes or minimizes some quantity, for example profit can maximized while the cost might be reduced. The objective function is also called effectiveness function, it is the mathematical expression of the objectives which may be cost of operation or profit on operation (Kumar and Hira, 2008). Constraints which is also known as restrictions are mathematical expressions of the limitations that are involved in fulfilling the objectives; they are caused by scarce or limited resources which may include money, space, manpower, materials and so on. Heizer & Render (2008) defined constraints as restrictions which limit the extent to which a manager can pursue an objective…

    • 435 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    MATH%$)

    • 535 Words
    • 4 Pages

    4. If a maximization linear programming problem consist of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ______ result in a(n) _____ solution to the integer linear programming problem.…

    • 535 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    Linear programming, the ability to find the smallest or biggest possible value under some constraints, is used in a typical optimization problem. In business this method helps to optimize solutions for politics, transportation scheduling, hospital stuffing, purchasing and many other problems. In biotechnology the same equation is used to optimize cell-factories, enabling the production of drugs, plastics, or any desired products.…

    • 501 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Linear Optimization

    • 1790 Words
    • 8 Pages

    If the model consists of a linear objective function and linear constraints in decision variables, it is called a linear programming model. Linear programming is a technique used to solve models with linear objective function and linear constraints. The Simplex is used to solve linear programming problems. In this report it shows how to use spreadsheet modeling and Excel Solver for solving linear programming problems.…

    • 1790 Words
    • 8 Pages
    Good Essays
  • Powerful Essays

    Management Science

    • 1375 Words
    • 6 Pages

    Our project is to develop a linear programming model that can be used to answer the below questions:…

    • 1375 Words
    • 6 Pages
    Powerful Essays
  • Satisfactory Essays

    - Linear programming/Integer Linear Programming basics (difference between the two, building an LP/ILP model, integration of the model into Excel, optimal solution, feasible region, establishing constraints, bounded/unbounded solutions, sensitivity analysis)…

    • 384 Words
    • 2 Pages
    Satisfactory Essays