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Advanced Operations Research. Reference : Operations Research Models and Methods , Jenson and Bard, 2002. Introduction to Operations Research , Hillier and Lieberman, 9/e, 2010 Topics : Linear Programming Network Programming Integer Programming Nonlinear Programming
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Advanced Operations Research Reference: Operations Research Models and Methods, Jenson and Bard, 2002. Introduction to Operations Research, Hillier and Lieberman, 9/e, 2010 Topics: Linear Programming Network Programming Integer Programming Nonlinear Programming Grading: Midterm 40%, Final 40%, Homework 20%
What is OR? • It is a Process • It assists Decision Makers • It has a set of Tools • It is applicable in many Situations
The Process: Recognize the Problem • Manufacturing • Planning • Design • Scheduling • Dealing with Defects • Dealing with Variability • Dealing with Inventory • …
Other applications • Service Industries • Logistics • Transportation • Environment • Health Care • Situations with complexity • Situations with uncertainty
Define the problem Delimit the system Select measures Determine variables Identify constraints Formulate the Problem
Construct a Model • Math. Programming Model • Stochastic Model • Statistical Model • Simulation Model
Find a Solution • Linear Programming • Nonlinear Programming • Regression • Direct Search • Stochastic Optimization • Trial and Error
Establish a Procedure • How the solution is derived?
Implement the Solution • How the real world situation is resolved.
The Goal is to Solve the Problem • The model must be valid • The model must be tractable • The solution must be useful
Operations Research/Management Science OR/MS Professionals aim to provide rational bases for decision making by seeking to understand and structure complex situations and to use this understanding to predict system behavior and improve system performance. Much of this work is done using analytical and numerical techniques to develop and manipulate mathematical and computer models of organizational systems composed of people, machines, and procedures. INstitute For Operations Research and the Management Sciences (INFORMS)