03_Handout_1(Simplex_Method).pdf

03_Handout_1(Simplex_Method).pdf - IT1601 Basic Concepts...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
IT1601 03 Handout 1 *Property of STI Page 1 of 4 Basic Concepts What is Simplex Method? It is a matrix based method used for solving linear programming problems with many variables (http://www.cabrillo.edu/~hpayne/Math%2013/Lecture%20Notes/Chapter%205.pdf.) It provides us with an iterative technique of examining the vertices of the feasible region that is not optimal, but serves as a starting point (Sirug, 2012) . The Simplex Algorithm Simplex Method Flowchart (http://mng.ibu.edu.ba/assets/userfiles/mng/coursematerials/4-The%20Simplex%20Method.ppt.) Steps in Solving Standard LP Maximization and/or Minimization Model Using Simplex Model ( http://www.shsu.edu/ldg005/data/mth199/chapter6.ppt. ) Transform all the constraints to equality by introducing slack, surplus, and artificial variables as follows: Constrainttype Variable to be added Represents Coefficient in objective function ≤ constraint Slack variable Measures unused resources 0 ≥ constraint Surplus and Artificial variables How much solution exceeds the constraint resource 0 = constraint Artificial variable Computational tool, ensures non-negativity of surplus variables M (some huge cost) (http://www.sci.brooklyn.cuny.edu/~shoshana/cisc2531/Handouts/LPSimplex.doc.) Create the initial simplex tableau o Simplex tableau – It is a table used to keep track of the calculations made at each iteration when the simplex method is employed
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
IT1601 03 Handout 1
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern