Zahra_Mohaghegh_Jan22_module1_EMSE102-202

Zahra_Mohaghegh_Jan22_module1_EMSE102-202 - Engineering...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Engineering Management & Systems Engineering The George Washington University EMSE 102 EMSE 102 - - 202 202 Survey of Operations Research Methods Survey of Operations Research Methods Zahra Mohaghegh mohagheg@umd.edu Post-Doctoral Research Associate Center For Risk and Reliability University of Maryland January22, 2008 Module_1
Background image of page 1

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

View Full DocumentRight Arrow Icon
Engineering Management & Systems Engineering The George Washington University Chapter (1) Chapter (1) An Introduction to Model Building
Background image of page 2
Engineering Management & Systems Engineering The George Washington University Definitions Definitions 1. Operations Research is a scientific approach to decision making that seeks to best design & operation of a system under specific conditions 2. A system is an organization of interdependent components that work together to achieve a specific goal 3. The scientific approach to decision making involves the use of one or more mathematical models .
Background image of page 3

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

View Full DocumentRight Arrow Icon
Engineering Management & Systems Engineering The George Washington University Mathematical Models Mathematical Models ± Descriptive model describes the behavior of the system as a function of its causal factors ± Prescriptive or Optimization model prescribes behavior for an organization that will enable it to “best” meet its goal ± Objective function (to be maximized or minimized) ± Decision variables ( controllable variables) ± Constraints (possibilities of decision variables)
Background image of page 4
Engineering Management & Systems Engineering The George Washington University Optimization Models Optimization Models ± Static & Dynamic models (sequence of decisions over multiple periods) ± Linear& Nonlinear models (nonlinear objective function and/or constraints) ± Integer & Noninteger models (noninteger decision variables) ± Deterministic & Stochastic models (uncertainty over objective function and/or constraints)
Background image of page 5

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

View Full DocumentRight Arrow Icon
Engineering Management & Systems Engineering The George Washington University Skills in this course Skills in this course . . ± Understanding real problems ± Identifying the best type of mathematical models for different problems ± Building mathematical models ± Solving with appropriate software
Background image of page 6
Engineering Management & Systems Engineering The George Washington University Chapter (2) Chapter (2) Basic Linear Algebra CREDITS: PARTS OF THIS LECTURE HAVE BEEN DEVELOPED BY PROFESSORS ABELEDO AND CAMPOS-NONEZ
Background image of page 7

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

View Full DocumentRight Arrow Icon
Engineering Management & Systems Engineering The George Washington University Learning Objectives Learning Objectives ± Introduce matrices and vectors, and their basic operations. ± Describe application of matrices to modeling systems of linear equations. ± Explain the Gauss-Jordan method of solving systems of linear equations.
Background image of page 8
Engineering Management & Systems Engineering The George Washington University Matrices and Vectors Matrices and Vectors Matrix – a rectangular array of numbers 1 3 2 4 1 4 2 5 3 6 1 2 21 () Typical m x n matrix Typical m x n matrix having m rows and n having m rows and n columns. We refer to columns. We refer to m x n as the m x n as the
Background image of page 9

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

View Full DocumentRight Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/02/2010 for the course EMSE 202 taught by Professor Mohaghegh,abeledo during the Spring '07 term at GWU.

Page1 / 55

Zahra_Mohaghegh_Jan22_module1_EMSE102-202 - Engineering...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online