Advanced Operations Research Reference Operations Research Models and

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% Operations Research Models and Methods

The OR Process Operations Research Models and Methods

What is OR? It is a Process It assists Decision Makers It has a set of Tools It is applicable in many Situations Operations Research Models and Methods

The Process: Recognize the Problem Manufacturing – – – – Operations Research Models and Methods 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 Operations Research Models and Methods

Formulate the Problem Define the problem Delimit the system Select measures Operations Research Models and Methods Determine variables Identify constraints

Construct a Model Math. Programming Model Stochastic Model Statistical Model Simulation Model Operations Research Models and Methods

Find a Solution Linear Programming Nonlinear Programming Regression Direct Search Stochastic Optimization Trial and Error Operations Research Models and Methods

Establish a Procedure How the solution is derived? Operations Research Models and Methods

Implement the Solution How the real world situation is resolved. Operations Research Models and Methods

The Goal is to Solve the Problem The model must be valid The model must be tractable The solution must be useful Operations Research Models and Methods

Operations Research/Management Science OR/MS Professionals aim to provide rational bases for decision making by seeking to understand 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) Operations Research Models and Methods

Real World Situation, Problems, Models and Methods Operations Research Models and Methods