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Zahra_Mohaghegh_Jan29_module 1_P

# Zahra_Mohaghegh_Jan29_module 1_P - Engineering Management...

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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 [email protected] Post-Doctoral Research Associate Center For Risk and Reliability University of Maryland January29, 2008 Module_1

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Engineering Management & Systems Engineering The George Washington University Model Building Model Building Exercises on Formulation of Problems CREDITS: PARTS OF THIS LECTURE HAVE BEEN DEVELOPED BY PROFESSORS ABELEDO AND CAMPOS-NONEZ
Engineering Management & Systems Engineering The George Washington University Brief Time line of Linear programming [1] [1] Class notes of Dr. S.Raghavan School of Business, University of Maryland

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*Professor D.W. Hearn *Professor D.W. Hearn Engineering Management & Systems Engineering The George Washington University Guidelines* Guidelines* General Rules of Thumbs: 1. There is usually more than one correct formulation of problem. 2. Sometimes adding more variables simplifies the model. It is rare that we need to keep the number of variables small. 3. However , it is unreasonable to add too many variables. 4. Sometimes our intuition tell us that a constraint is irrelevant. When in doubt, leave the constraint in.
*Professor D.W. Hearn *Professor D.W. Hearn Engineering Management & Systems Engineering The George Washington University Guidelines* Guidelines* Identifying Decision Variables: 1. Use variables that agree with your intuition. What must I decide that will determine the outcome 2. Add definitional variables that ease the formulation

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*Professor D.W. Hearn *Professor D.W. Hearn Engineering Management & Systems Engineering The George Washington University Guidelines* Guidelines* Identifying Constraints: 1. resource-related constraints (Can not use up more that I have available) 2. capacity limits (production< 4000lb/week) 3. Quality constraints (specific attribute of product or resource & etc.) 4. Policy constraints (%80 of product must be …) 5. Definitional constraints arising from definitional variables (A=3x +2y)
*Professor D.W. Hearn *Professor D.W. Hearn Engineering Management & Systems Engineering The George Washington University Guidelines* Guidelines* Identifying Objective Function: 1. Maximize revenue minus cost 2. Minimize cost minus revenue 3. Minimize number of people hired 4. Be careful to make sure all costs and profits are properly accounted for, appearing once and only once.

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* MIT and James Orlin Engineering Management & Systems Engineering The George Washington University Some Real World Problems Some Real World Problems Some Enhancements of Scheduling Problem * Radiation treatments * Inventory Control Programming Hydro-generators
* MIT and James Orlin Engineering Management & Systems Engineering The George Washington University Some Enhancements of Scheduling Problem * Radiation treatments * Inventory Control Programming Hydro-generators Some Real World Problems Some Real World Problems

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Engineering Management & Systems Engineering The George Washington University Scheduling Postal Workers
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